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We derive the partition function for the SU(3) Yang-Mills theory in the presence of a uniform gluon field within the background field method. We show, that the $n$-body gluon contributions in the partition function are characterized solely…

High Energy Physics - Phenomenology · Physics 2015-06-04 Chihiro Sasaki , Krzysztof Redlich

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson…

High Energy Physics - Lattice · Physics 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

In this thesis we investigate two different sets of physics questions, aiming at a better understanding of the low-energy behaviour of Yang-Mills theories, and the properties connected to confinement, in a first part. In a second part, we…

High Energy Physics - Theory · Physics 2011-11-08 Astrid Eichhorn

We calculate the dressed gluon and ghost propagators of Landau gauge Yang-Mills theory in the complex momentum plane from their Dyson-Schwinger equations. To this end, we develop techniques for a direct calculation such that no…

High Energy Physics - Phenomenology · Physics 2020-11-18 Christian S. Fischer , Markus Q. Huber

We propose a method for calculating dynamical correlation functions at finite temperature in integrable lattice models of Yang-Baxter type. The method is based on an expansion of the correlation functions as a series over matrix elements of…

Statistical Mechanics · Physics 2020-08-04 Frank Göhmann , Michael Karbach , Andreas Klümper , Karol K. Kozlowski , Junji Suzuki

We study Landau-gauge gluon and ghost propagators in Yang-Mills theories at lattice parameter beta = 0, considering relatively large lattice volumes for the case of the SU(2) gauge group in three and four space-time dimensions. We compare…

High Energy Physics - Lattice · Physics 2010-04-06 Attilio Cucchieri , Tereza Mendes

We consider Yang-Mills theories in a recently proposed family of nonlinear covariant gauges that consistently deals with the issue of Gribov ambiguities. Such gauges provide a generalization of the Curci-Ferrari-Delbourgo-Jarvis gauges…

High Energy Physics - Theory · Physics 2015-11-11 Julien Serreau , Matthieu Tissier , Andréas Tresmontant

The quark propagator at finite temperature is investigated using quenched gauge configurations. The propagator form factors are investigated for temperatures above and below the gluon deconfinement temperature $T_c$ and for the various…

High Energy Physics - Lattice · Physics 2019-10-23 Orlando Oliveira , Paulo J. Silva

The Dyson-Schwinger equation for the ghost-gluon vertex of the Hamiltonian approach to Yang-Mills theory in Coulomb gauge is solved at one-loop level using as input the non-perturbative ghost and gluon propagators previously determined…

High Energy Physics - Theory · Physics 2015-06-03 Davide R. Campagnari , Hugo Reinhardt

The mass and the lifetime of a gluon are evaluated from first principles at finite temperature across the deconfinement transition of pure SU(3) Yang-Mills theory, by a direct calculation of the pole of the propagator in the complex plane,…

High Energy Physics - Phenomenology · Physics 2017-12-20 Fabio Siringo

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

High Energy Physics - Theory · Physics 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We consider the coupled set of spectral Dyson-Schwinger equations in Yang-Mills theory for ghost and gluon propagators, which gives us access to the ghost and gluon spectral functions. The set-up is used for a systematic analytic evaluation…

High Energy Physics - Theory · Physics 2025-07-09 Jan Horak , Jan M. Pawlowski , Nicolas Wink

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by means of a massive extension of the Faddeev-Popov action. This model is based on some phenomenological arguments and constraints on the ultraviolet…

High Energy Physics - Theory · Physics 2013-05-29 Matthieu Tissier , Nicolas Wschebor

We investigate the finite-temperature structure of ghost and gluon propagators within an approach based on the rainbow truncated Dyson-Schwinger equations in Landau gauge. The method, early used for modeling the quark, ghost and gluon…

High Energy Physics - Phenomenology · Physics 2022-12-15 L. P. Kaptari

Both regular (the zero-momentum ghost dressing function not diverging), also named decoupling, and critical (diverging), also named scaling, Yang-Mills propagators solutions can be obtained by analyzing the low-momentum behaviour of the…

High Energy Physics - Phenomenology · Physics 2015-03-17 J. Rodríguez-Quintero

We discuss the use of strong coupling expansions for Yang-Mills theory and QCD at finite temperature and density. In particular we consider the onset of temperature effects for the free energy and screening masses, derive the hadron…

High Energy Physics - Lattice · Physics 2011-03-10 Jens Langelage , Owe Philipsen

The effective potential of the order parameter for confinement is calculated for SU(N) Yang--Mills theory in the Hamiltonian approach. Compactifying one spatial dimension and using a background gauge fixing, this potential is obtained…

High Energy Physics - Theory · Physics 2013-10-08 Hugo Reinhardt , Jan Heffner

We consider Yang-Mills theories quantized in the Landau gauge in the presence of the Gribov horizon via the refined Gribov Zwanziger (RGZ) framework. As the restriction of the gauge path integral to the Gribov region is taken into account,…

High Energy Physics - Theory · Physics 2018-02-28 B. W. Mintz , L. F. Palhares , S. P. Sorella , A. D. Pereira

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

High Energy Physics - Theory · Physics 2013-01-14 Hugo Reinhardt , Jan Heffner

We study the infrared behaviour of the pure Yang-Mills correlators using relations that are well defined in the non-perturbative domain. These are the Slavnov-Taylor identity for three-gluon vertex and the Schwinger-Dyson equation for ghost…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ph. Boucaud , J. P. Leroy , A. Le Yaouanc , A. Y. Lokhov , J. Micheli , O. Pene , J. Rodriguez-Quintero , C. Roiesnel