149 citations · 1.6k across the 52 of their papers we have counts for
20 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…
Dyson--Schwinger Approach to Hamiltonian QCD
Davide R. Campagnari, Hugo Reinhardt, Markus Q. Huber +2
Dyson--Schwinger equations are an established, powerful non-perturbative tool for QCD. In the Hamiltonian formulation of a quantum field theory they can be used to perform variatio…
A non-perturbative study of the correlation functions of three-dimensional Yang-Mills theory
Markus Q. Huber
Yang-Mills theory is studied in three dimensions using the equations of motion of the PI and PI effective actions. The employed self-contained truncation includes the propaga…
Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
Markus Q. Huber
The two- and three-point functions and the four-gluon vertex of three-dimensional Yang-Mills theory are calculated from their Dyson-Schwinger equations and the 3PI effective action…
Going beyond the propagators of Landau gauge Yang-Mills theory
Markus Q. Huber, Lorenz von Smekal
We present results for the propagators and the ghost-gluon vertex of Landau gauge Yang-Mills theory obtained from Dyson-Schwinger equations. Solving these three quantities simultan…
On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
Markus Q. Huber, Lorenz von Smekal
We solve the Dyson-Schwinger equations of the ghost and gluon propagators of Landau gauge Yang-Mills theory together with that of the ghost-gluon vertex. The latter plays a central…
Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
Markus Q. Huber, Axel Maas, Lorenz von Smekal
We investigate the Dyson-Schwinger equations for the gluon and ghost propagators and the ghost-gluon vertex of Landau-gauge gluodynamics in two dimensions. While this simplifies so…
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…
CrasyDSE: A framework for solving Dyson-Schwinger equations
Markus Q. Huber, Mario Mitter
Dyson-Schwinger equations are important tools for non-perturbative analyses of quantum field theories. For example, they are very useful for investigations in quantum chromodynamic…
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…
Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
Markus Q. Huber, Jens Braun
We present the Mathematica application DoFun which allows to derive Dyson-Schwinger equations and renormalization group flow equations for n-point functions in a simple manner. DoF…
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…
From unphysical gluon and ghost propagators to physical glueball propagators (in the Gribov-Zwanziger picture): a not so trivial task?
D. Dudal, N. Vandersickel, L. Baulieu +5
During recent years, a good agreement was found between the analytical derivation and the numerical simulation of the Landau gauge gluon and ghost propagators. We mention the Schwi…
On gauge fixing aspects of the infrared behavior of Yang-Mills Green functions
Markus Q. Huber
The infrared behavior of propagators and vertices is derived for the maximally Abelian gauge and the Gribov-Zwanziger action relying on functional equations. The derivation and ana…
Gribov horizon and BRST symmetry: a pathway to confinement
S. P. Sorella, L. Baulieu, D. Dudal +4
We summarize the construction of the Gribov-Zwanziger action and how it leads to a scenario which explains the confinement of gluons, in the sense that the elementary gluon excitat…
Gribov horizon and i-particles: about a toy model and the construction of physical operators
L. Baulieu, D. Dudal, M. S. Guimaraes +4
Restricting the functional integral to the Gribov region leads to a deep modification of the behavior of Euclidean Yang-Mills theories in the infrared region. For example, a gl…
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,…
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…