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Properties of local Polyakov loops for SU(2) and SU(3) lattice gauge theory at finite temperature are analyzed. We show that spatial clusters can be identified where the local Polyakov loops have values close to the same center element. For…

High Energy Physics - Lattice · Physics 2015-03-17 Christof Gattringer , Alexander Schmidt

Using the example of the SU(2) gauge theory in 3+1 dimensions we consider the construction of a 3-dimensional effective model in terms of Polyakov loops. We demonstrate the application of an equilibrium self-consistency condition to the…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

We study the problem of critical slowing-down for gauge-fixing algorithms (Landau gauge) in $SU(2)$ lattice gauge theory on $2$ and $4$ dimensional lattices, both numerically and analytically. We consider five such algorithms, and we…

High Energy Physics - Lattice · Physics 2009-10-28 Attilio Cucchieri , Tereza Mendes

We calculate the time independent four-point function in high temperature (T) QCD and obtain the leading momentum dependent terms. Furthermore, we relate these derivative interactions to derivative terms in a recently proposed finite T…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. Wirstam

The finite-temperature behavior of gluon and of Faddeev-Popov-ghost propagators is investigated for pure SU(2) Yang-Mills theory in Landau gauge. We present nonperturbative results, obtained using lattice simulations and Dyson-Schwinger…

High Energy Physics - Lattice · Physics 2008-11-26 Attilio Cucchieri , Axel Maas , Tereza Mendes

We study a model of quark-gluon plasma of 2+1 flavors Quantum Chromodynamics in terms of quasiparticles propagating in a condensate of Polyakov loops. The Polyakov loop is coupled to quasiparticles by means of a gas-like effective…

High Energy Physics - Phenomenology · Physics 2015-06-17 Lucia Oliva , Paolo Castorina , Vincenzo Greco , Marco Ruggieri

We extract an effective Polyakov line action from an underlying SU(3) lattice gauge theory with dynamical fermions via the relative weights method. The center-symmetry breaking terms in the effective theory are fit to a form suggested by…

High Energy Physics - Lattice · Physics 2017-04-05 Roman Höllwieser , Jeff Greensite

By exploiting the similarity between Bloch's theorem for electrons in crystalline solids and the problem of Landau gauge-fixing in Yang-Mills theory on a "replicated" lattice, one is able to obtain essentially infinite-volume results from…

High Energy Physics - Lattice · Physics 2017-05-17 Attilio Cucchieri , Tereza Mendes

At very high temperatures Yang--Mills theories can be described through perturbation theory. At the tree level the time components of the gluon fields decouple and yield a dimensionally reduced theory. The expectation value of the Polyakov…

High Energy Physics - Phenomenology · Physics 2007-05-23 Michaela Oswald

We measured the gluon propagator in the Landau gauge fixed QCD Langevin simulation and studied the infra-red behaviour of the gluon propagator. The 4^3 x 8 lattice simulation was done for quenched $\beta=3,4,5$ and unquenched $\beta=4,…

High Energy Physics - Lattice · Physics 2007-05-23 H. Nakajima , S. Furui

Short-time dynamics technique is used to study the relaxation process for the (2+1)-dimensional critical gluodynamics of the SU(2) lattice gauge theory. A generalized class of heat-bath-inspired updating algorithms was employed during the…

High Energy Physics - Lattice · Physics 2014-11-20 Rafael B. Frigori

We describe a stochastic technique which allows one to compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. The idea is to insert the exponential representation of the…

High Energy Physics - Lattice · Physics 2009-10-22 F. Di Renzo , G. Marchesini , P. Marenzoni , E. Onofri

We investigate QCD-like theory with exact center symmetry, with emphasis on the finite-temperature phase transition concerning center and chiral symmetries. On the lattice, we formulate center symmetric $SU(3)$ gauge theory with three…

High Energy Physics - Lattice · Physics 2015-11-30 Takumi Iritani , Etsuko Itou , Tatsuhiro Misumi

Lorentz lattice gases (LLGs) are discrete-time transport models in which a point particle moves ballistically between lattice sites and is scattered by randomly placed, quenched local scatterers such as ``rotators'' or ``mirrors.'' Despite…

Statistical Mechanics · Physics 2026-05-14 Tianyi Zhou

Results of lattice analysis indicate that the static potential in SU(3) gauge theory is proportional to eigenvalue of quadratic Casimir operator for the corresponding representation with a good accuracy. We discuss the mechanism of possible…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. Shevchenko

We study numerically the SU(2) Landau gauge transverse and longitudinal gluon propagators at non-zero temperatures T both in confinement and deconfinement phases. The special attention is paid to the Gribov copy effects in the IR-region.…

High Energy Physics - Lattice · Physics 2013-05-29 V. G. Bornyakov , V. K. Mitrjushkin

Correlation functions are important probes for the behavior of quantum field theories. Already at tree-level, the Refined Gribov Zwanziger (RGZ) effective action for Yang-Mills theories provides a good approximation for the gluon…

High Energy Physics - Phenomenology · Physics 2024-05-28 Nahuel Barrios , Marcelo S. Guimaraes , Bruno W. Mintz , Letícia F. Palhares , Marcela Peláez

We construct an effective model for the chiral field and the Polyakov loop in which we can investigate the interplay between the approximate chiral symmetry restoration and the deconfinement of color in a thermal SU(3) gauge theory with…

High Energy Physics - Phenomenology · Physics 2011-08-04 Eduardo Fraga , Agnes Mocsy

We study the momentum dependence of the ghost propagator and of the space and time components of the gluon propagator at equal time in pure SU(3) lattice Coulomb gauge theory carrying out a joint analysis of data collected independently at…

High Energy Physics - Lattice · Physics 2009-06-25 Y. Nakagawa , A. Voigt , E. -M. Ilgenfritz , M. Müller-Preussker , A. Nakamura , T. Saito , A. Sternbeck , H. Toki

We study the problem of the Landau gauge fixing in the case of the SU(2) lattice gauge theory. We show that the probability to find a lattice Gribov copy increases considerably when the physical size of the lattice exceeds some critical…

High Energy Physics - Lattice · Physics 2007-05-23 A. Y. Lokhov , O. Pène , C. Roiesnel
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