1.1k citations · 7k across the 136 of their papers we have counts for
21 papers · 1 filter
Spectral dimension as a tool for analyzing non-perturbative propagators
Wolfgang Kern, Markus Q. Huber, Reinhard Alkofer
We derive general properties of the scale-dependent effective spectral dimensions of non-perturbative gauge boson propagators as they appear as solutions from different methods in…
Infrared Saturation and Phases of Gauge Theories with BRST Symmetry
Valentin Mader, Martin Schaden, Daniel Zwanziger +1
We investigate the infrared limit of the quantum equation of motion of the gauge boson propagator in various gauges and models with a BRST symmetry. We find that the saturation of…
Including four-gluon interactions into Landau and maximally-Abelian gauge Dyson-Schwinger studies
Valentin Mader, Reinhard Alkofer
In Dyson-Schwinger studies of the Yang-Mills propagators the four-gluon interaction has been usually neglected due to the related technical difficulties with the associated two-loo…
The non-perturbative BRST quartet mechanism in Landau gauge QCD: Ghost-gluon and ghost-quark bound states
Natalia Alkofer, Reinhard Alkofer
The non-perturbative BRST quartet mechanism in infrared Landau gauge QCD is presented. It is demonstrated that positivity violation for transverse gluons allows to identify the glu…
On the infrared behaviour of QCD Green functions in the Maximally Abelian gauge
Reinhard Alkofer, Markus Q. Huber, Valentin Mader +1
Functional equations like exact renormalisation group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theori…
Ghost-gluon and ghost-quark bound states and their role in BRST quartets
Natalia Alkofer, Reinhard Alkofer
A non-perturbative version of the BRST quartet mechanism in infrared Landau gauge QCD is proposed for transverse gluons and quarks. Based on the positivity violation for transverse…
Infrared scaling solutions beyond the Landau gauge: The maximally Abelian gauge and Abelian infrared dominance
Markus Q. Huber, Reinhard Alkofer, Kai Schwenzer
Functional equations like exact renormalization group and Dyson-Schwinger equations have contributed to a better understanding of non-perturbative phenomena in quantum field theori…
On Confinement, Chiral Symmetry Breaking, and the UA(1) anomaly in Functional Approaches
Reinhard Alkofer
The so-called decoupling and scaling solutions of functional equations of Landau gauge Yang-Mills theory are briefly reviewed. In both types of solutions the positivity violation s…
The non-perturbative BRST quartets generated by transverse gluons or quarks in Landau gauge
Natalia Alkofer, Reinhard Alkofer
The BRST quartet mechanism is briefly reviewed. A special emphasis is given to the distinction of perturbative versus non-perturbative quartets. The field contents of the non-pertu…
Features of ghost-gluon and ghost-quark bound states related to BRST quartets
Natalia Alkofer, Reinhard Alkofer
The BRST quartet mechanism in infrared Landau gauge QCD is investigated. Based on the observed positivity violation for transverse gluons the field content of th…
Panel discussion: What {\it don't} we know about confinement?
R. Alkofer, D. Diakonov, J. Pawlowski +4
The participants in this discussion session of the QCHS 9 meeting were each asked the following question: "What would be the most useful piece of information that you could obtain,…
Non-perturbative analysis of the Gribov-Zwanziger action
Markus Q. Huber, Reinhard Alkofer, Silvio P. Sorella
In the non-perturbative regime the usual gauge fixing is not sufficient due to the Gribov problem. To deal with it one can restrict the integration in the path integral to the firs…
On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field
Leonard Fister, Reinhard Alkofer, Kai Schwenzer
Recently it has been shown that infrared singularities of Landau gauge QCD can confine static quarks via a linearly rising potential. We show that the same mechanism can also provi…
Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
Markus Q. Huber, Reinhard Alkofer, Silvio P. Sorella
The low momentum behavior of the Landau gauge Gribov-Zwanziger action is investigated using the respective Dyson-Schwinger equations. Because of the mixing of the gluon and the aux…
On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
Markus Q. Huber, Kai Schwenzer, Reinhard Alkofer
An improved method for extracting infrared exponents from functional equations is presented. The generalizations introduced allow for an analysis of quite complicated systems such…
Algorithmic derivation of Dyson-Schwinger Equations
Reinhard Alkofer, Markus Q. Huber, Kai Schwenzer
We present an algorithm for the derivation of Dyson-Schwinger equations of general theories that is suitable for an implementation within a symbolic programming language. Moreover,…
On the connection between Hamilton and Lagrange formalism in Quantum Field Theory
Selym Villalba-Chavez, Reinhard Alkofer, Kai Schwenzer
The connection between the Hamilton and the standard Lagrange formalism is established for a generic Quantum Field Theory with vanishing vacuum expectation values of the fundamenta…
Infrared singularities in Landau gauge Yang-Mills theory
Reinhard Alkofer, Markus Q. Huber, Kai Schwenzer
We present a more detailed picture of the infrared regime of Landau gauge Yang-Mills theory. This is done within a novel framework that allows one to take into account the influenc…
Vertex functions and infrared fixed point in Landau gauge SU(N) Yang-Mills theory
Reinhard Alkofer, Christian S. Fischer, Felipe J. Llanes-Estrada
The infrared behaviour of vertex functions in an SU(N) Yang-Mills theory in Landau gauge is investigated employing a skeleton expansion of the Dyson-Schwinger equations. The three-…
On the infrared behaviour of Gluons and Ghosts in Ghost-Antighost symmetric gauges
R. Alkofer, C. S. Fischer, H. Reinhardt +1
To investigate the possibility of a ghost-antighost condensate the coupled Dyson--Schwinger equations for the gluon and ghost propagators in Yang--Mills theories are derived in gen…
(In-)Consistencies in the relativistic description of excited states in the Bethe-Salpeter equation
S. Ahlig, R. Alkofer
The Bethe-Salpeter equation provides the most widely used technique to extract bound states and resonances in a relativistic Quantum Field Theory. Nevertheless a thorough discussio…