Structures and Observables

Axel Maas

The concepts of quantum field theory

Most modern fundamental theories of nature are gauge theories. These are complex theories, in which the observable consequences are highly non-linearly connected to the elementary particles and interactions. Especially, the particles we measure are often emergent ones.

Using analytical methods and large-scale numerical simulations we uncover the structures leading to this emergence, and determine what we can see at experiments. As the underlying mechanisms are often similar, we do so for a wide range of theories, covering electroweak physics and the Higgs, dark matter, grand-unified theories to quantum gravity and beyond. Our work therefore covers the primary laws of nature, from which all physics descends. Our results range from conceptual answers like how a universe is described in quantum gravity, to very concrete experimental predictions like cross sections measurable at colliders like the LHC at CERN in Higgs physics.

Since such theories often contain redundancies and objects, which by themselves can only be auxiliaries, this poses important questions about the ontology of particle physics, i.e. the question, what is real. Aiming at understanding these questions connects our work to philosophy of physics.

©Uni Graz/Maas

Global phasediag

What we do in detail

Our primary research actiivity center around creating a bridge from a fundamental understanding of quantum gauge theories to their phenomenology. The particular aim is to identify and understand phenomena, which cannot be captured with standard perturbative means, and how they manifest the genuine non-linear structure of quantum theories. Our story so far can be read in two reviews articles, on Brout-Englert-Higgs physics: From foundations to phenomenology and Gauge bosons at zero and finite temperature.

Foundations of quantum-gauge-field theories

So-called gauge theories represent the most common version of particle physics theories. Especially the standard model, but also gravity, and most of their speculated extensions belong to this category. While they have been extremely successful in the description of nature, several very fundamental issues of them are still poorly understood.

One of them is what their physical degrees of freedom are, and how they emerge from the fundamental ones. This entails especially the question of how the mathematical structure is related to the physically observable one. The complex geometric structure of gauge theories made this a challenging problems since more than half a century.

Our aim is to explicitly construct physically observable particle spectra. Likewise, we determine how they are made up from the elementary degrees of freedom, and what kind of mathematical-geometrical structure governs their relation.

Standard model physics

The discovery of the Higgs boson has been one of the greatest scientific discoveries of the recent years. It is the last element of the standard model of particle physics, and a possible gateway to whatever lies beyond. With this discovery, the properties of the Higgs came into the focus of investigations.

The theory underlying the Higgs sector has plenty of enigmas so far. One is that it is not even clear, whether it a real theory, or whether new physics is mandatory to make it a real theory. The other is that there are subtle effects which are not yet accounted for, but which could provide distinct new signatures, like states containing several Higgs bosons or deviations from expectations in experiments.

To fully understand Higgs physics, we investigate and simulate numerically electroweak, Higgs, flavor and top physics in the standard model. We determine signatures for the LHC and future colliders. We furthermore use our understanding of gauge theories to infer how Brout-Englert-Higgs physics work.

Unifying interactions

The standard model has a very peculiar, regular structure. This suggests the existence of an underlying ordering principle, a unifying theory. We expect that such a unifying theory needs to involve the Brout-Englert-Higgs effect to create the apparent independent known interactions, the electromagnetic one, the weak one, and the strong one.

We therefore study how generalized Brout-Englert-Higgs effects act, and how they can help to shape both the known interactions and the flavor structure of the standard model. Especially important are here how the spectrum of known particles emerges in the process. This not only includes known particles, but also dark matter.

Finally, it is not clear how a quantum theory of gravity can factor into this picture. We therefore study how gravity and the Brout-Englert-Higgs effect interact, and also supersymmetry as a possible unifying concept of particle physics and quantum gravity.

Current lectures

Advanced Quantum Mechanics (WS 25/26)
Beyond the Standard Model (WS 25/26)
Introduction to Mathematical Methods (WS 25/26)
Linear algebra (WS 25/26)
Philosophy of Physics (WS 25/26 and SS 26)
PhD seminar “Particle Physics” (WS 25/26)
Quantum Field Theory II (SS 26)

Lecture notes

Topic	Level	Hours	Last updated
Anomalies	PhD	4 hours	July 2014
Advanced General Relativity and Quantum Gravity	Master, QFT recommended	2 hours/week	March 2024
Advanced Mathematical Methods	Master	3 hours/week	January 2024
Astroparticle Physics	Master, QFT recommended	2 hours/week	June 2021
Beyond the Standard Model	Master, requires QFT	3 hours/week	January 2025
Electroweak Physics	Master, requires QFT	2 hours/week	February 2021
Group theory	Master	2 hours/week	January 2016
Hadronphysics	Master, requires QFT	2 hours/week	March 2023
Introduction to Mathematics	Bachelor	1 hour/week	August 2025
Lattice quantum field theory	Master, requires QFT	2 hours/week	June 2020
Linear algebra	Bachelor	2 hours/week	August 2025
Modern chapters of theoretical physics	Bachelor	2 hours/week	June 2021
Methods of Theoretical physics for teachers	Master	3 hours/week	January 2025
Nuclear and particle physics	Master/Teacher of physics	2 hours/week	June 2016
Philosophy of Physics Supplemental material	Bachelor/Master/PhD	2 hours/week	July 2018
Programming in Mathematica and C(++)	Bachelor	2 hours/week	June 2018
Quantum Field Theory I	Master	3 hours/week	March 2023
Quantum Field Theory II	Master, requires QFT I (in parallel)	4 hours/week	January 2020
Quantum mechanics	Bachelor	4 hours/week	May 2022
Theoretical Mechanics	Bachelor	4 hours/week	February 2017
Theoretical Particle Physics	Master	2 hours/week	February 2014
Theoretical Particle Physics	Master	4 hours/week	September 2015
Standard Model of particle physics	Master, requires QFT	2 hours/week	July 2011
Supersymmetry	Master, requires QFT	2 hours/week	October 2022

We offer theses in all areas of our research. Below you find a full list of topics and completed theses. If you are interested, just contact me by email.

PhD theses:

PhD positions are announced on the Inspire Job Database

Completed theses:

Vincenzo Afferrante, Gauge invariant spectra of theories with BEH effect

Ouraman Hajizadeh, QCD-like theories on the lattice and their applications

Walid Mian, Beta-decay of hadrons in a first principle approach

Tajdar Mufti, Non-perturbative aspects of Yang-Mills-Higgs theory

Bernd Riederer, On Gauge-Scalar-Theories: The many aspects of the Brout-Englert-Higgs effect

Pascal Törek, The physical spectrum of theories with a Brout-Englert-Higgs effect

Fabian Zierler, Lattice studies of Sp(4) as a candidate Dark Matter theory

Master theses are available in the following areas:

Higgs-Higgs scattering beyond standard perturbation theory

Electroweak PDFs for colliders

Weak jets at colliders

Hadronic corrections to the top and Z/W mass

The substructure of the lepton

Black hole properties and interactions in quantum gravity

Reconstruction of the metric from topology in quantum gravity

Observables and fermions in supergravity

Completed theses:

Daniel August, Adjoint quarks in technicolor and QCD

Larissa Egger, Possible substructure of an electron

Simon Fernbach, Higgs-PDF study in proton-proton collisions

Veronika Macher, Adjoint and fundamental scalar fields coupled to Landau-gauge Yang-Mills theory

Markus Markl, Black Holes as Quantum Phenomena

Michael Müller, Gravitational bound states in quantum gravity

Dominik Nitz, Masses of custodial singlet vector particles in Yang-Mills-Higgs theory

Eveline Ochensberger, Towards dark matter through the Higgs portal

Felix Pressler, Dark Matter from Quantum Gravity

Sebastian Raubitzek, The size of the W-boson

Franziska Reiner, The non-violation of the Bloch-Nordsieck theorem for the electroweak sector of the Standard Model

Bernd Riederer, Scattering phases in the H->WW* channel

Philipp Schreiner, The manifestly gauge-invariant spectrum of the Minimal Supersymmetric Standard Model

Wolfgang Schleifenbaum, The ghost-gluon vertex in Landau gauge Yang-Mills theory in four and three dimensions

Fabian Veider, NLO corrections for e− e+ → µ− µ+ in a SU(2)+BEH theory via augmented perturbation theory

Stefan Zitz, Functional approach to N=4 super-Yang-Mills theory

Bachelor theses are available on the following topics:

Weak jets and partial wave analysis of collider processes

Correlators in classical gravity and quantum gravity

Completed theses:

Abraham Arevalo Arizaga, Exploration of the Faddeev-Popov operator’s eigensprectrum outside the first Gribov region

Pedram Bazmeh, Search for holomorphic Gribov-copies outside of the first Gribov region

Simon Dampfhofer, Approaches to the shape of the Higgs-PDF using proton-proton collisions

Alexander Egger-Feiel, Eigenspectrum of the Faddeev-Popov operator in SU(2)

Alexander Engertsberger, Geodesics and discrete manifolds within causal dynamical triangulations

Tamara Friedl, Construction of a model action for a zero-dimensional model of the nonanalytic behaviour of the gluon propagator in Landau gauge at zero source strength

Timur Holikov, Kinematics in the VBS/VBF setting

Patrick Jenny, Improving the determination of energy levels in lattice simulations

Dorian Jost, A supersymmetric approach to the Gribov problem within an instanton field configuration

Viktoria Keusch, Category Theory in Analytical Mechanics

David Kneidinger, An algorithmic approach to calculate geodesics in quantum gravity

Paul Kothgasser, Proton Proton Collisions at the LHC and Future Colliders

Michael Mandl, Search for Gribov copies using a modified instanton configuration

Michael Müller, Optimization of SU(2) Landau Gauge-Fixing Algorithms

Nicole Oberth, Investigating the Gribov Problem through the Faddeev-Popov Operator Eigenspectrum in SU(2)

Christina Perner, Metric reconstruction with causal dynamical triangulation

Maximilian Pfandner, Calculation of eigenvalues of the Faddev-Popov-operator to a certain vector potential configuration – a variational approach

Felix Pressler, Lattice Spectroscopy of Strongly Interacting Dark Matter Candidates

Kevin Radl, Dark Matter in Neutron Stars

Daniel Reiche, Influence of Higgs bound states on W/Z scattering at the LHC (in German)

Lukas Reicht, Using machine learning for BSM particle identification

Franziska Reiner, The form of the Higgs-PDF in the proton

Andreas Schindlegger, Search for Gribov Copies Outside the First Griobov Region Using an Oriented Center Vortex Field Configuration

Fabian Veider, Dynamics of the Higgs in the proton

Raphael Wagner, Using machine learning for BSM particle identification

Alicia Wongel, Investigation of a dark matter particle in the Higgs portal model

Lukas Würger, Extraction of the metric within the framework of Causal Dynamical Triangulation

Fabian Zierler, Search for Gribov copies outside the first Gribov region in SU(2) Yang-Mills theory

Topic	Authors	Title	arXiv	Where	Date
White Paper	M. Beneditk et al.	Future Circular Collider Feasibility Study Report Vol. 1-3	arXiv: 2505.00272 [hep-ex] arXiv: 2505.00274 [physics.acc-ph] arXiv: 2505.00273 [physics.acc-ph]		May 2025
Quantum Gravity	A. Maas, S. Plätzer, F. Pressler	Hints for a geon from causal dynamical triangulations	arXiv:2504.11047 [hep-lat]		April 2025
Astroparticle Physics	Y. Dengler et al.	Strongly interacting dark matter admixed neutron stars	2503.19691 [hep-ph]		March 2025
New Physics	E. Dobson et al.	The observable spectrum for GUT-like theories	2501.19212 [hep-lat]	PoS LATTICE2024 (2025) 087	January 2025
Astroparticle Physics	Y. Dengler, A. Maas, F. Zierler	Scattering of SIMPlectic Dark Pions	2501.18368 [hep-lat]	PoS LATTICE2024 (2025) 153	January 2025
Higgs Physics	A. Maas, D. van Egmond, S. Plätzer	Subleading Higgs effects at lepton colliders	2409.20131 [hep-ph]	PoS ICHEP2024 (2024) 056	September 2024
White Paper	J. Andersen et al.	Les Houches 2023: Physics at TeV Colliders: Standard Model Working Group Report	2406.00708 [hep-ph]		June 2024
Astroparticle Physics	Y. Dengler, A. Maas, F. Zierler	Scattering of dark pions in Sp(4) gauge theory	2405.06506 [hep-lat]	Phys.Rev.D 110 (2024) 5, 054513	May 2024
Astroparticle Physics	Y. Dengler, A. Maas, F. Zierler	Scattering of dark pions in an Sp(4) gauge theory	2311.18549 [hep-lat]	PoS LATTICE2023 (2024) 103	December 2023
New Physics	A. Maas, P. Schreiner	The manifestly gauge-invariant spectrum of the Minimal Supersymmetric Standard Model	2307.10282 [hep-ph]	Ann. Phys. 479 (2025) 170050	July 2023
Higgs Physics	A. Maas	Experimental signatures of subtleties in the Brout-Englert-Higgs mechanism	2305.07395 [hep-ph]	Moriond EW 2023	May 2023
Review	A. Maas	The Fröhlich-Morchio-Strocchi mechanism: A underestimated legacy	2305.01960 [hep-th]	Springer Nature (Cham)	May 2023
Astroparticle Physics	E. Bennett et al.	Singlets in gauge theories with fundamental matter	2304.07191 [hep-lat]	Phys. Rev. D 109, 034504 (2024)	April 2023
Higgs Physics	A. Maas, F. Reiner	Restoring the Bloch-Nordsieck theorem in the electroweak sector of the standard model	2212.08470 [hep-ph]	Phys. Rev. D 108, 013001 (2023)	December 2022
New Physics	E. Dobson, A. Maas, B. Riederer	The spectrum of GUT-like gauge-scalar models	2211.16937 [hep-lat]	PoS LATTICE2022 (2023) 210	November 2022
Astroparticle Physics	F. Zierler et al.	Strongly Interacting Dark Matter from Sp(4) Gauge Theory	2211.11272 [hep-ph]	EPJ Web Conf. 274 (2022) 08014	November 2022
New Physics	E. Dobson, A. Maas, B. Riederer	Multiple breaking patterns in the Brout-Englert-Higgs effect beyond perturbation theory	2211.05812 [hep-lat]	Annals of Physics 457 (2023) 169404	November 2022
Higgs Physics	B. Riederer, A. Maas	Investigating vector boson scattering: A fully gauge-invariant study	2210.17211 [hep-lat]	PoS LATTICE2022 (2022) 218	October 2022
Astroparticle Physics	F. Zierler et al.	Singlet Mesons in Dark Sp(4) Theories	2210.11187 [hep-lat]	PoS LATTICE2022 (2023) 225	October 2022
Quantum Gravity	A. Maas	Towards testing the Fröhlich-Morchio-Strocchi mechanism in quantum gravity	2209.10961 [hep-th]	PoS ICHEP2022 (2022) 424	September 2022
Higgs Physics	P. Jenny, A. Maas, B. Riederer	Vector boson scattering from the lattice	2204.02756 [hep-lat]	Phys. Rev. D 105, 114513 (2022)	April 2022
Astroparticle Physics	S. Kulkarni et al.	Low-energy effective description of dark Sp(4) theories	2202.05191 [hep-ph]	SciPost Phys. 14 (2023) 3, 044	February 2022
Quantum Gravity	A. Maas, M. Markl, M. Müller	Exploratory applications of the Fröhlich-Morchio-Strocchi mechanism in quantum gravity	2202.05117 [hep-th]	Phys.Rev.D 107, 025013 (2023)	Februrary 2022
New Physics	E. Dobson, A. Maas, B. Riederer	Exploring SU(3)-Higgs theories	2110.15670 [hep-lat]	PoS LATTICE2021 (2022) 207	October 2021
Higgs Physics	F. Reiner, A. Maas	Bloch-Nordsieck restoration in llbar -> qqbar	2110.07312 [hep-ph]	PoS EPS-HEP2021 (2022) 449	October 2021
Review	P. Berghofer et al.	Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches	2110.00616 [physics.hist-ph]	Cambridge Elements in Foundations of Contemporary Physics	October 2021
Astroparticle Physics	A. Maas, F. Zierler	Strong isospin breaking in Sp(4) gauge theory	2109.14377 [hep-lat]	PoS LATTICE2021 (2022) 130	September 2021
Higgs Physics	V. Afferrante et al.	Testing the mechanism of lepton compositness	2011.02301 [hep-lat]	SciPost Phys. 10, 062 (2021)	November 2020
Higgs Physics	A. Maas, R. Sondenheimer	Gauge-invariant description of the Higgs resonance and its phenomenological implications	2009.06671 [hep-ph]	Phys. Rev. D 102, 113001 (2020)	September 2020
QCD	A. Maas, M. Vujinović	More on the three-gluon vertex in SU(2) Yang-Mills theory in three and four dimensions	2006.08248 [hep-lat]	SciPost Phys. Core 5, 019 (2022)	June 2020
New Physics	V. Afferrante, A. Maas, P. Törek	A composite massless vector boson	2002.08221 [hep-lat]	Phys. Rev. D 101, 114506 (2020)	February 2020
Higgs Physics	S. Fernbach et al.	Constraining the Higgs valence contribution in the proton	2002.01688 [hep-ph]	Phys. Rev. D 101, 114018 (2020)	February 2020
Higgs Physics	A. Maas et al.	Probing standard-model Higgs substructures using tops and weak gauge bosons	1910.14316 [hep-ph]	PoS EPS-HEP2019 (2020) 632	October 2019
QCD Phase Diagram	O. Hajizadeh et al.	Exploring the Tan contact term in Yang-Mills theory	1909.12727 [hep-ph]	Phys. Rev. D 103, 034023 (2021)	September 2019
Quantum Gravity	A. Maas	The Fröhlich-Morchio-Strocchi mechanism and quantum gravity	1908.02140 [hep-th]	SciPost Phys. 8, 051 (2020)	August 2019
Field Theory	A. Maas	Constraining the gauge-fixed Lagrangian in minimal Landau gauge	1907.10435 [hep-lat]	SciPost Phys. 8, 071 (2020)	July 2019
New Physics	V. Afferrante, A. Maas, P. Törek	Toward the spectrum of the SU(2) adjoint Higgs model	1906.11193 [hep-lat]	PoS ALPS2019 (2020) 038	June 2019
Field Theory	A. Maas	The quenched SU(2) scalar-gluon vertex in minimal Landau gauge	1902.10568 [hep-lat]	Phys. Rev. D 99, 114503 (2019) Source Code	February 2019
QCD Phase Diagram	T. Boz et al.	Finite-density gauge correlation functions in QC2D	1812.08517 [hep-lat]	Phys. Rev. D 99, 074514 (2019)	December 2018
Higgs Physics	A. Maas, S. Raubitzek, P. Törek	Exploratory study of the off-shell properties of the weak vector bosons	1811.03395 [hep-lat]	Phys. Rev. D 99, 074509 (2019)	November 2018
QCD	R. Alkofer et al.	Bound state properties from the Functional Renormalisation Group	1810.07955 [hep-ph]	Phys. Rev. D 99, 054029 (2019)	October 2018
Field Theory	A. Maas	The quenched SU(2) adjoint scalar propagator in minimal Landau gauge	1809.08929 [hep-lat]	Phys. Rev. D 99, 054504 (2019) Source Code	September 2018
New Physics	P. Törek, A. Maas	On observable particles in theories with a Brout-Englert-Higgs effect	1806.11373 [hep-lat]	PoS ALPS2018 (2018) 027	June 2018
New Physics	A. Maas, P. Törek	The spectrum of an SU(3) gauge theory with a fundamental Higgs field	1804.04453 [hep-lat]	Annals of Physics 397, 303 (2018)	April 2018
Review	A. Maas	Brout-Englert-Higgs physics: From foundations to phenomenology	1712.04721 [hep-ph]	Prog. Part. Nucl. Phys. 106 (2019) 132	December 2017
QCD	W. Mian et al.	Formulating electroweak pion decays in functional methods		PoS Hadron2017 (2018) 234	December 2017
QCD Phase Diagram	O. Hajizadeh et al.	Gluon and ghost correlation functions of 2-color QCD at finite density	1710.06013 [hep-lat]	EPJ Web Conf. 175 (2018) 07012	October 2017
New Physics	P. Törek, A. Maas	A study of how the particle spectra of SU(N) gauge theories with a fundamental Higgs emerge	1710.01941 [hep-lat]	EPJ Web Conf. 175 (2018) 08002	October 2017
Higgs Physics	A. Maas, L. Egger	Implications of strict gauge invariance for particle spectra and precision observables	1710.01182 [hep-ph]	PoS EPS-HEP2017 (2017) 450	October 2017
QCD	J. Paris-Lopez et al.	Calculating hadron properties from dynamical hadronization in the Functional Renormalisation Group		J.Phys.Conf.Ser. 1024 (2018) 1, 012009	October 2017
New Physics	A. Maas, R. Sondenheimer, P. Törek	On the observable spectrum of theories with a Brout-Englert-Higgs effect	1709.07477 [hep-ph]	Annals of Physics 402 18 (2019)	September 2017
Field Theory	A. Maas	Dependence of the propagators on the sampling of Gribov copies inside the first Gribov region of Landau gauge	1705.03812 [hep-lat]	Ann. of Phys. 387 (2017) 29	May 2017
Astroparticle Physics	O, Hajizadeh, A. Maas	Constructing a neutron star in G2-QCD	1702.08724 [astro-ph.HE]	Eur.Phys.J. A53 (2017) 207	February 2017
Higgs Physics	L. Egger, A. Maas, R. Sondenheimer	Pair production processes and flavor in gauge-invariant perturbation theory	1701.02881 [hep-ph]	Mod. Phys. Lett. A 32, 1750212 (2017)	January 2017
QCD	A. Maas, W. Mian	Influence of broken flavor and C and P symmetry on the quark propagator	1611.08130 [hep-ph]	Eur.Phys.J. A53 (2017) 22	November 2016
QCD	W. Mian, A. Maas	Quark Propagator with electroweak interactions in the Dyson-Schwinger approach	1610.02936 [hep-ph]	EPJ Web Conf. 137 (2017) 05015	October 2016
Field Theory	A. Maas	Gauge engineering and propagators	1610.05639 [hep-lat]	EPJ Web Conf. 137 (2017) 03012	October 2016
New Physics	P. Törek, A. Maas	Testing gauge-invariant perturbation theory	1610.04188 [hep-lat]	PoS LATTICE2016 (2016) 203	October 2016
New Physics	A. Maas, P. Törek	Predicting the singlet vector channel in a partially Higgsed gauge theory	1607.05860 [hep-lat]	Phys. Rev. D 95, 014501	July 2016
Astroparticle Physics	O. Hajizadeh, A. Maas	A G2-QCD neutron star (34th international symposium on lattice field theory	1609.06979 [astro-ph.HE]	PoS LATTICE2016 (2016) 358	September 2016
Field Theory	A. Maas	The quenched SU(2) fundamental scalar propagator in minimal Landau gauge	1603.07525 [hep-lat]	Eur. Phys. J. C76 (2016) 366 Source Code	March 2016
New Physics	A. Maas, L. Pedro	Gauge invariance and the physical spectrum in the two-Higgs-doublet model	1601.02006 [hep-ph]	Phys. Rev. D 93, 056005	January 2016
Field Theory	A. Maas, S. Zitz	Dyson-Schwinger equations and N=4 SYM in Landau gauge	1512.06664 [hep-ph]	Eur. Phys. J. C 76 113	December 2015
Field Theory	A. Maas	More on the properties of the first Gribov region in Landau gauge	1510.08407 [hep-lat]	Phys. Rev. D 93 054504	October 2015
New Physics	P. Törek, A. Maas	Towards the spectrum of a GUT from gauge invariance	1509.06497 [hep-ph]	PoS LeptonPhoton2015 (2016) 073	September 2015
New Physics	A. Maas	Field theory as a tool to constrain new physics models	1502.02421 [hep-ph]	Mod. Phys. Lett. A, 30, 1550135 (2015)	February 2015
Higgs Physics	A. Maas, T. Mufti	A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory	1412.6440 [hep-lat]	Phys. Rev. D 91, 113011	December 2014
Field Theory	A. Maas	Propagators and topology	1410.7954 [hep-lat]	Eur. Phys. J. C75 (2015) 122 Source code	October 2014
Higgs Physics	A. Maas, T. Mufti	On the phase diagram and the singlet scalar channel in Yang-Mills-Higgs theory	1410.7935 [hep-lat]	PoS LATTICE2014 (2014) 060	October 2014
Higgs Physics	A. Maas	Observables in Higgsed Theories	1410.2740 [hep-lat]	Nucl.Part.Phys.Proc. 273(2016) 1604	October 2014
QCD Phase Diagram	L. Fister, A. Maas	Exploratory study of the temperature dependence of magnetic vertices in SU(2) Landau gauge Yang-Mills theory	1406.0638 [hep-lat];	Phys. Rev. D 90, 056008; Source code	June 2014
QCD	A. Maas	Some more details of minimal-Landau-gauge Yang-Mills propagators	1402.5050 [hep-lat]	Phys. Rev. D 91, 034502 (2015)	February 2014
QCD Phase Diagram	B. Wellegehausen et al.	Hadron masses and baryonic scales in G2-QCD at finite density	1312.5579 [hep-lat]	Phys.Rev. D89 (2014) 056007	December 2013
Higgs Physics	A. Maas, T. Mufti	Two- and three-point functions in Landau gauge Yang-Mills-Higgs theory	1312.4873 [hep-lat]	JHEP 1404 (2014) 006	December 2013
New Physics	D. August, A. Maas	The anomalous mass dimension from the techniquark propagator in Minimal Walking Technicolor		PoS LATTICE2013 (2014) 087	November 2013
QCD	T. Mufti, A. Maas	Correlation Functions and Confinement in Scalar QCD	1310.8166 [hep-lat]	PoS QCD-TNT-III (2013) 024	October 2013
Higgs Physics	A. Maas, T. Mufti	Exploring Higgs Sector Spectroscopy	1310.7832 [hep-lat]	PoS LATTICE2013 (2014) 056	October 2013
QCD Phase Diagram	L. von Smekal et al.	Spectroscopy and the phase diagram at zero temperature and finite density	1310.7745 [hep-lat]	PoS LATTICE2013 (2014) 186	October 2013
Field Theory	A. Maas, D. Zwanziger	Analytic and numerical study of the free energy in gauge theory	1309.1957 [hep-lat]	Phys. Rev. D 89, 034011 (2014)	September 2013
New Physics	D. August, A. Maas	On the Landau-gauge adjoint quark propagator	1304.4423 [hep-lat]	JHEP 01 (2013) 001	April 2013
Field Theory	A. Maas, D. Zwanziger	Bounds on free energy in QCD	1301.3520 [hep-lat]	PoS ConfinementX (2012) 032	January 2013
Field Theory	A. Maas	Local and global gauge-fixing	1301.2965 [hep-th]	PoS ConfinementX (2012) 034	January 2013
Higgs Physics	A. Maas, T. Mufti	Non-perturbative aspects in a weakly interacting Higgs sector	1211.5301 [hep-lat]	PoS ICHEP2012 (2013) 427	November 2012
QCD	E.-M. Ilgenfritz, A. Maas	Topological aspects of G2 Yang-Mills theory	1210.5963 [hep-lat]	Phys. Rev. D 86, 114508 (2012)	October 2012
QCD Phase Diagram	A. Maas, B. Wellegehausen	G2 gauge theories	arxiv: 1210.7950 [hep-lat	PoS LATTICE2012 (2012) 080	October 2012
Higgs Physics	A. Maas	Bound-state/elementary-particle duality in the Higgs sector and the case for an excited 'Higgs' within the standard model	1205.6625 [hep-lat]	Mod. Phys. Lett. A, Vol. 28, No. 28 (2013) 1350103	May 2012
Field Theory	A. Maas	(Non-)Aligned gauges and global gauge symmetry breaking	1205.0890 [hep-th]	Mod. Phys. Lett. A, Vol. 27, No. 38 (2012) 1250222	May 2012
QCD	M. Huber, A. Maas, L. von Smekal	Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results	arxiv:1207.0222 [hep-th]	JHEP 11 (2012) 035	July 2012
QCD Phase Diagram	A. Maas et al.	The phase diagram of a gauge theory with fermionic baryons	arxiv:1203.5653 [hep-lat]	Phys. Rev. D 86, 111901(R) (2012)	March 2012
QCD Phase Diagram	M. Dirnberger, C. Gattringer, A. Maas	No coincidence of center percolation and deconfinement in SU(4) lattice gauge theory	arxiv:1201.1360 [hep-lat]	Phys. Lett. B 716, 465 (2012)	January 2012
Field Theory	A. Maas	On the structure of the residual gauge orbit	1111.5457 [hep-th]	PoS QCD-TNT-II (2011) 028	November 2011
QCD Phase Diagram	A. Maas et al.	The gluon propagator close to criticality	1110.6340 [hep-lat]	Phys. Rev. D 95, 034037 (2012)	October 2011
Higgs Physics	A. Maas	Employing the perturbative definition of the Higgs mass in a non-perturbative calculation	1110.0908 [hep-lat]	PoS LATTICE2011 (2011) 077	October 2011
QCD	A. Maas, T. Mendes, S. Oljenik	Yang-Mills Theory in lambda-Gauges	1108.2621 [hep-lat]	Phys. Rev. D 84, 114501 (2011)	August 2011
Field Theory	V. Macher, R. Alkofer, A. Maas	A study of the influence of the gauge group on the Dyson-Schwinger equations for scalar-Yang-Mills systems	1106.5381 [hep-ph]	IJMP A Vol. 27, No. 18 (2012) 1250098	June 2011
Review	A. Maas	Gauge bosons at zero and finite temperature	1106.3942 [hep-ph]	Phys. Rep. 524 (2013) 203	June 2011
New Physics	A. Maas	On the gauge boson's properties in a candidate technicolor theory	1102.5023 [hep-lat]	JHEP 05 (2011) 077	February 2011
Field Theory	A. Maas	Scalar-matter-gluon interaction	1102.0901 [hep-lat]	PoS FACESQCD (2010) 033	February 2011
QCD	A. Maas	On the gauge-algebra dependence of Landau-gauge Yang-Mills propagators	1012.4284 [hep-lat]	JHEP 02 (2011) 076	December 2010
Higgs Physics	A. Maas			PoS ICHEP2010 (2010) 375	November 2010
Field Theory	A. Maas	On gauge fixing	1010.5718 [hep-lat]	PoS LATTICE2010 (2010) 279	October 2010
QCD	R. Alkofer et al.	On the Infrared Behaviour of Landau Gauge Yang-Mills Theory with Differently Charged Scalar Fields	1011.5831 [hep-ph]	AIP Conf. Proc. 1343 (2011) 179	October 2010
Field Theory	A. Maas	Gauges, propagators, and physics	1011.5409 [hep-ph]	AIP Conf.Proc. 1343 (2011) 182	October 2010
QCD	M. Blank, A. Krassnigg, A. Maas	spects of gauge-(in)dependence in Bethe-Salpeter-equation studies of mesons	1007.3901 [hep-ph]	Phys. Rev. D 83, 034020 (2011)	July 2010
Higgs Physics	A. Maas	Accessing directly the properties of fundamental scalars in the confinement and Higgs phase	1007.0729 [hep-lat]	Eur. Phys. J. C71, p1548 (2011)	July 2010
QCD Phase Diagram	C. Fischer, A. Maas, J. Müller	Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)	1003.1960 [hep-ph]	Eur. Phys. J. C68, p165 (2010)	March 2010
Field Theory	A. Maas et al.	Strong-coupling study of the Gribov ambiguity in lattice Landau gauge	0912.4203 [hep-lat]	Eur. Phys. J. C68, p183 (2010)	December 2009
QCD Phase Diagram	A. Maas	Describing gluons at zero and finite temperature	0911.0348 [hep-lat	Chin.Phys.C 34, p1328 (2010)	November 2009
Field Theory	A. Maas	Constructing non-perturbative gauges using correlation functions	0907.5185 [hep-lat]	Phys. Lett. B689, p107 (2010)	July 2009
QCD Phase Diagram	E. Bilgici et al.	Fermionic boundary conditions and the finite temperature transition of QCD	0906.3957 [hep-lat]	Few Body Systems 47 p125 (2010)	June 2009
QCD	R. Alkofer, A. Maas, D. Zwanziger	Truncating first-order Dyson-Schwinger equations in Coulomb-Gauge Yang-Mills theory	0905.4594 [hep-ph]	Few Body Systems 47 p73 (2010)	May 2009
QCD Phase Diagram	E. Bilgici et al.	Adjoint quarks and fermionic boundary conditions	0904.3450 [hep-lat]	JHEP 11 (2009) 035	April 2009
QCD	C. Fischer, A. Maas, J. Pawlowski	Aspects of confinement from QCD correlation functions	0812.2745 [hep-ph]	PoS CONFINEMENT8 (2008) 043	December 2008
Field Theory	A. Maas	Green's Functions and Topological Configurations	0811.2730 [hep-lat]	PoS CONFINEMENT8 (2008) 063	November 2008
QCD Phase Diagram	J. Danzer, C. Gattringer, A. Maas	Chiral symmetry and spectral properties of the Dirac operator in G2 Yang-Mills Theory	0810.3973 [hep-lat]	JHEP 01 (2009) 024	October 2008
QCD	C. Fischer, A. Maas, J. Pawlowski	On the infrared behavior of Landau gauge Yang-Mills theory	0810.1987 [hep-ph]	Annals of Physics 324 (2009), p2408	October 2008
QCD	T. Mendes et al.	Infrared Propagators in MAG and Feynman gauge on the lattice	0809.3741 [hep-lat]	SPMTP 08, p33 (2008)	September 2008
Field Theory	A. Maas	More on Gribov copies and propagators in Landau-gauge Yang-Mills theory	0808.3047 [hep-lat]	Phys. Rev. D79, 014505,2009	August 2008
Field Theory	A. Cucchieri, A. Maas, T. Mendes	Linear covariant gauges on the lattice	0806.3124 [hep-lat]	Comput.Phys.Commun.180 p215 (2009)	June 2008
QCD	A. Cucchieri, A. Maas, T. Mendes	Three-point vertices in Landau-gauge Yang-Mills theory	0803.1798 [hep-lat]	Phys. Rev. D 77, 094510 (2008)	March 2008
QCD	A. Maas, S. Oljenik	A first look at Landau-gauge propagators in G2 Yang-Mills theory	0711.1451 [hep-lat]	JHEP 02 (2008) 070	November 2007
QCD	C. Fischer et al.	Large volume behavior of Yang-Mills propagators	0709.3205 [hep-lat]	PoS LATTICE2007 (2007) 300	September 2007
QCD	A. Maas	Two- and three-point Green's functions in two-dimensional Landau-gauge Yang-Mills theory	0704.0722 [hep-lat]	Phys. Rev. D 75, 116004 (2007)	April 2007
QCD Phase Diagram	A. Cucchieri, A. Maas, T. Mendes	Infrared properties of propagators in Landau-gauge pure Yang-Mills theory at finite temperature	hep-lat/0702022	Phys. Rev. D 75, 076003 (2007)	February 2007
QCD	A. Cucchieri, A. Maas, T. Mendes	Infrared-suppressed gluon propagator in 4d Yang-Mills theory in a Landau-like gauge	hep-lat/0701011	Mod.Phys.Lett.A22 p2429 (2007)	January 2007
QCD	C. Fischer et al.	Large volume behaviour of Yang-Mills propagators	hep-ph/0701050	Annals Phys.322 p2916 (2007)	January 2007
QCD	A. Maas, A. Cucchieri, T. Mendes	Propagators in Yang-Mills theory for different gauges	hep-lat/0610123	PoS CONFINEMENT8 (2008) 181	October 2006
Field Theory	A. Maas	Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum	hep-th/0610011	Nucl.Phys.A 790 (2007) 566	October 2006
QCD	A. Maas, A. Cucchieri, T. Mendes	On the infrared behavior of Green's functions in Yang-Mills theory	hep-lat/0610006	Braz.J.Phys. 37 (2007) 219	October 2006
QCD	A. Cucchieri, A. Maas, T. Mendes	Exploratory study of three-point Green's functions in Landau-gauge Yang-Mills theory	hep-lat/0605011	Phys. Rev. D 74, 014503 (2006)	May 2006)
Field Theory	A. Maas	On the Faddeev-Popov operator eigenspectrum in topological background fields	hep-th/0603087	Braz.J.Phys. 37 (2007) 514	March 2006
Field Theory	A. Maas	On the spectrum of the Faddeev-Popov operator in topological background fields	hep-th/0511307	Eur.Phys.J. C48, No.1, 179	November 2005
Review	A. Fuster, M. Henneaux, A. Maas,	BRST Quantization: a short review	hep-th/0506098	Int. J. Geo. Meth. Mod. Phys., Vol. 2, No. 5 (2005) 939	June 2005
Review	A. Maas	Gluons at finite temperature in Landau gauge Yang-Mills theory	hep-ph/0506066	Mod.Phys.Lett.A 20 (2005) 1797	June 2005
Techniques	A. Maas	Solving a Set of Truncated Dyson-Schwinger equations with a globally converging methods	hep-ph/0504110	Comput. Phys. Commun., 175, 167 (2006)	April 2005
QCD Phase Diagram	A. Maas, R. Alkofer, J. Wambach	The High-Temperature Phase of Landau-Gauge Yang-Mills theory	hep-ph/0504019	Eur.Phys.J. C42, 93 (2005)	April 2005
QCD	W. Schleifenbaum et al.	Infrared behaviour of the ghost-gluon vertex in Landau gauge Yang-Mills theory	hep-ph/0411052	Phys. Rev. D72, 014017 (2005)	November 2004
QCD Phase Diagram	A. Maas et al.	Finite-Temperature Yang-Mills Theory in Landau Gauge	hep-ph/0411289	AIP Conf.Proc. 756 (2005) p425	November 2004
QCD	W. Schleifenbaum et al.	The Ghost-Gluon Vertex in Landau Gauge Yang-Mills Theory	hep-ph/0411060	Subnucl.Ser. 42 (2007) p366	November 2004
QCD Phase Diagram		Residual Confinement in High-Temperature Yang-Mills Theory	hep-ph/0408299	SEWM 2004 p396	August 2004
QCD Phase Diagram	B. Grüter et al.	Temperature Dependence of Gluon and Ghost Propagators in Landau-Gauge Yang-Mills Theory below the Phase Transition	hep-ph/0408282	Eur.Phys.J. C42, p109 (2005)	August 2004
QCD Phase Diagram	A. Maas et al.	High-Temperature Limit of Landau-Gauge Yang-Mills Theory	hep-ph/0408074	Eur.Phys.J. C37 p335 (2004)	August 2004
QCD Phase Diagram	B. Grüter et al.	QCD Propagators at non-vanishing temperatures	hep-ph/0401164	Prog.Part.Nucl.Phys. 53 (2004) 343	January 2004
QCD Phase Diagram	A. Maas et al.	Towards the Finite Temperature Gluon Propagator in Landau Gauge Yang-Mills Theory	hep-ph/0210178	Subnucl.Ser. 40 (2003) 411	October 2002

Note: Only publications with the group leader are listed. Other publications can be found in the links in the team listing.

Selected presentations at conferences and universities during the last five years

Topic	Title	When	Where	Occasion
Quantum Gravity	Geons as gravity balls	August 2025	Vienna, Austria	ÖPG/SPS Meeting 2025
Higgs Physics	Observable spectrum in the weak sector of the SM	July 2025	Marseilles, France	EPSHEP 2025
Quantum Gravity	Composite Operators in Quantum (super)gravity	July 2025	Marseilles, France	EPSHEP 2025
Outreach	Teilchenphysik und die Grundgesetze der Natur	June 2025	Vienna, Austria	VHS seminar series
Higgs Physics	Gauge-invariant spectrum in the weak sector of the standard model	May 2025	Budapest, Hungary	ACHT meeting
Astroparticle Physics	Scattering of dark pions	May 2025	Budapest, Hungary	ACHT meeting
Higgs Physics	Gauge Invariance and Particles	May 2025	Vienna, Austria	Institute Seminar
Higgs Physics	Intermediate Vector Bosons and Gauge Symmetry	April 2025	Krakow, Poland	2nd COMETA general meeting
Higgs Physics	The Fröhlich-Morchio-Strocchi mechanism in Multi-boson processes	February 2025	Vienna, Austria	Polarized Perspectives
Astroparticle Physics	Dark Matter on the Lattice	November 2024	Ljubljana, Slovenia	Institute Seminar
Astroparticle Physics	Dark Matter on the Lattice	October 2024	Edinburgh, UK	University Seminar
Outreach	Quanten, Symmetrien, Teilchen - Was ist real? (German)	October 2024	Graz, Austria	Urania Series "Philosophy & Quantum Mechanics"
Astroparticle Physics	Dark matter scattering	August 2024	Frankfurt, Germany	Strong and Electroweak Matter 2024
Astroparticle Physics	Dark matter scattering	August 2024	Liverpool, UK	Lattice 2024
BSM Physics	The observable spectrum for GUT-like theories	August 2024	Liverpool, UK	Lattice 2024
Higgs Physics	Subleading Higgs effects in e+ e- -> fermion+antifermion	July 2024	Prague, Czech Republic	ICHEP 2024
Field Theory	Observable spectrum in theories with a Brout-Englert-Higgs effect	July 2024	Graz, Austria	From Gauge Symmetries to Gauge-Invariant Approaches
Higgs Physics	Electroweak Sudakov Logarithms	July 2024	Graz, Austria	Parton Showers and Resummation 2024
Higgs Physics	Gauge invariance and observables in particle physics	April 2024	Edinburgh, UK	University Seminar
Outreach	Schwerkraft	April 2024	Graz, Austria	Alicja Kwade @ Sol LeWitt's Wall. Performed
Higgs Physics	Gauge invariance and observables in particle physics	March 2024	Milano, Italy	University Seminar
Astroparticle Physics	Scattering of symplectic SIMP dark matter with lattice field theory	March 2024	Munich, Germany	Quarkonia meet Dark Matter
Higgs Physics	Gauge invariance and observables in particle physics	February 2024	Brookhaven, USA	BNL Seminar
Field Theory	Gauge invariance and observables in particle physics	December 2023	Zürich, Switzerland	ETH & University Seminar
Astroparticle Physics	Scattering in a dark sector described by Sp(4) gauge theory	July 2023	Fermilab, USA	Lattice 2023
Higgs Physics	New precision effects from the Brout-Englert-Higgs mechanism	April 2023	Protoroz, Slovenia	Particle Physics from Early Universe to Future Colliders
Higgs Physics	Experimental signatures of subtelties in the Brout-Englert-Higgs mechanism	March 2023	Thuile, Italy	Recontres de Moriond
Quantum Gravity	Physical Observables in Canonical Quantum Gravity	March 2023	Nijmegen, Netherlands	University Seminar
Quantum Gravity	Physical Observables in Canonical Quantum Gravity	February 2023	Waterloo, Canada	Perimeter Institute Seminar
Higgs Physics	New effects in precision Brout-Englert-Higgs physics	December 2022	Ljubljana, Slovenia	JSI Seminar
Outreach	"Dunkle Energie" und was Physiker damit meinen	November 2022	Vienna, Austria	VHS Vienna
Higgs Physics	Subleading effects for future lepton colliders	September 2022	Leoben, Austria	ÖPG Meeting
BSM Physics	A manifestly gauge-invariant treatment of the Minimal Supersymmetric Standard Model	September 2022	Leoben, Austria	ÖPG Meeting
Higgs Physics	Investigating vector boson scattering	August 2022	Bonn, Germany	Lattice 2022
Astroparticle Physics	Dark Isosinglet Mesons in Sp(4) Gauge Theory with Nf=2	August 2022	Bonn, Germany	Lattice 2022
Astroparticle Physics	Strongly Interacting Dark Matter from Sp(4) Gauge Theory	August 2022	Stavanger, Norway	Confinement and the Hadron Spectrum 2022
Quantum Gravity	A new approach to Observables in Quantum Gravity	July 2022	Bologna, Italy	ICHEP 2022
Higgs Physics	Vector boson scattering from augmented perturbation theory	July 2022	Bologna, Italy	ICHEP 2022
BSM Physics	Possible discrepancies in GUT spectra	July 2022	Bologna, Italy	ICHEP 2022
BSM Physics	Composite Massless Vector Bosons	July 2022	DESY Zeuthen, Germany	Institute Seminar
BSM Physics	Sp(4) gauge theory on the Lattice	September 2021	Innsbruck, Austria	ÖPG Meeting
Higgs Physics	Measuring the size of the Higgs	April 2022	Vienna, Austria	HEPHY Seminar
Higgs Physics	Bloch-Nordsieck restoration for llbar->ttbar	July 2021	Hamburg, Germany	EPSHEP 2021
BSM Physics	Isospin breaking for dark matter	July 2021	Boston, USA	Lattice 2021
BSM Physics	SU(3)+Higgs theory: The adjoint case	July 2021	Boston, USA	Lattice 2021
BSM Physics	The spectrum of grand-unified theories	July 2021	Boston, USA	Lattice 2021
Astroparticle Physics	Sp(4) SIMP Dark Matter on the lattice	June 2021	Online, USA	LHCP 2021
Higgs Physics	Gauge invariant spectra of SU(2) theories with BEH effect	May 2021	MIT. USA	Lattice colloquium
BSM Physics	The spectrum of grand-unified theories	April 2021	Online, Hungary	ACHT 2021
Outreach	Wie das Higgs unser Bild von Elementarteilchen verändert	March 2021	Graz, Austria	Facetten der Physik
Field Theory	Gauge fixing and the ghost DSE	March 2021	Valencia, Spain	FunQCD
Higgs Physics	Probing Standard-Model Higgs Substructures using Tops and Weak Gauge Bosons	March 2021	Dortmund, Germany	DPG Spring Meeting
Outreach	Wie das Higgs unser Bild von Elementarteilchen verändert	January 2021	Vienna, Austria	VHS Vienna
Higgs Physics	Gauge invariant spectra and FMS mechanism for gauge theories with BEH effect	October 2020	Jena, Gemany	University Seminar
Higgs Physics	Fermionic spectrum with fermion-Higgs bound states in a SU(2) Wilson-Yukawa model	August 2020	Online, Asia	Asia-Pacific Symposium for Lattice Field Theory