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By considering the example of $SU(2)$ gluodynamics, we check numerically the idea that the strong correlation of the Polyakov loop with the longitudinal gluon propagator and related quantities can be used to substantially reduce the…

High Energy Physics - Lattice · Physics 2023-01-18 R. N. Rogalyov , V. G. Bornyakov , N. V. Gerasimeniuk , E. A. Kozlovsky , V. K. Mitrjushkin

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the infrared behavior of the gluon propagators at $T\simeq T_c$ in the Landau-gauge $SU(3)$ lattice gauge theory. We…

High Energy Physics - Lattice · Physics 2021-10-13 V. G. Bornyakov , V. A. Goy , V. K. Mitrjushkin , R. N. Rogalyov

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two gluon condensate as well as the longitudinal gluon propagator at $T\simeq T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory. We show that substantial…

High Energy Physics - Lattice · Physics 2018-09-26 V. G. Bornyakov , V. V. Bryzgalov , V. K. Mitrjushkin , R. N. Rogalyov

We study numerically the chromoelectric-chromomagnetic asymmetry of the dimension two $A^2$ gluon condensate as well as the transverse and longitudinal gluon propagators at $T>T_c$ in the Landau-gauge $SU(2)$ lattice gauge theory with a…

High Energy Physics - Lattice · Physics 2019-11-27 V. G. Bornyakov , V. K. Mitrjushkin , R. N. Rogalyov

The deconfinement phase transition of pure Yang-Mills theory at finite temperature is reflected in the behavior of gauge-fixed gluonic correlation functions. This is one of many examples of how physical information can be extracted from…

High Energy Physics - Lattice · Physics 2012-03-16 Axel Maas , Jan M. Pawlowski , Lorenz von Smekal , Daniel Spielmann

A synthesis of Polyakov loop models of the deconfinement transition and quasiparticle models of gluon plasma thermodynamics leads to a class of models in which gluons move in a non-trivial Polyakov loop background. These models are…

High Energy Physics - Lattice · Physics 2009-11-10 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

We calculate the Polyakov loop susceptibilities in the SU(3) lattice gauge theory using the Symanzik improved gauge action on different-sized lattices. The longitudinal and transverse fluctu- ations of the Polyakov loop, as well as, that of…

High Energy Physics - Lattice · Physics 2013-11-20 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki

The dynamic relaxation process for the (2+1)--dimensional SU(2) lattice gauge theory at critical temperature is investigated with Monte Carlo methods. The critical initial increase of the Polyakov loop is observed. The dynamic exponents…

Soft Condensed Matter · Physics 2009-10-30 K. Okano , L. Schuelke , B. Zheng

We analyze data from finite-temperature simulations of the gluon propagator in SU(2) Landau gauge on large lattices. We argue that the singular behavior of this quantity around the deconfinement transition, seen in several previous studies,…

High Energy Physics - Lattice · Physics 2014-01-28 Tereza Mendes , Attilio Cucchieri

We investigate propagators in Lorentz (or Landau) gauge by Monte Carlo simulations. In order to be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry turns out to be important…

High Energy Physics - Lattice · Physics 2009-10-31 G. Damm , W. Kerler , V. K. Mitrjushkin

The correlations between the modulus of the Polyakov loop, its phase $\theta$ and the Landau gauge gluon propagator at finite temperature are investigated in connection with the center symmetry for pure Yang-Mills SU(3) theory. In the…

High Energy Physics - Lattice · Physics 2016-06-22 P. J. Silva , O. Oliveira

Landau gauge gluon propagators are studied numerically in the SU(3) gluodynamics as well as in the full QCD with the number of flavors $n_F=2$ using efficient gauge fixing technique. We compare these propagators at temperatures very close…

High Energy Physics - Lattice · Physics 2015-05-27 V. G. Bornyakov , V. K. Mitrjushkin

The strong-coupling expansion of the lattice gauge action leads to Polyakov-loop models that effectively describe gluodynamics at low temperatures, and together with the hopping expansion of the fermion determinant provides insight into the…

High Energy Physics - Lattice · Physics 2016-12-02 Bardiya Bahrampour , Björn Wellegehausen , Lorenz von Smekal

From the long-distance behaviour of gluon and Polyakov loop correlation functions we extract masses resp. energies in the electric and magnetic sectors. We discuss their dependence on the temperature and on the momentum as well as the…

High Energy Physics - Lattice · Physics 2009-10-30 U. M. Heller , F. Karsch , J. Rank

We investigate the propagators of 4D SU(2) gauge theory in Landau gauge by Monte Carlo simulations. To be able to compare with perturbative calculations we use large $\beta$ values. There the breaking of the Z(2) symmetry causes large…

High Energy Physics - Lattice · Physics 2009-10-30 G. Damm , W. Kerler , V. K. Mitrjushkin

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi…

High Energy Physics - Lattice · Physics 2011-05-11 Tamas S. Biro , Z. Schram

The gluon propagator is investigated at finite temperature via lattice simulations. In particular, we discuss its interpretation as a massive-type bosonic propagator. Moreover, we compute the corresponding spectral density and study the…

High Energy Physics - Lattice · Physics 2017-04-26 P. J. Silva , O. Oliveira , D. Dudal , P. Bicudo , N. Cardoso

The far-from-equilibrium dynamics of spatial Polyakov loop correlations, which provide gauge-invariant observables akin to effective particle numbers for gluon plasmas, are investigated within real-time $\mathrm{SU}(N_c)$ lattice gauge…

High Energy Physics - Phenomenology · Physics 2025-05-26 Daniel Spitz , Kirill Boguslavski , Thimo Preis

We derive the Polyakov-loop thermodynamic potential in the perturbative approach to pure SU(3) Yang-Mills theory. The potential expressed in terms of the Polyakov loop in the fundamental representation corresponds to that of the…

High Energy Physics - Phenomenology · Physics 2013-12-16 Chihiro Sasaki

We study the gluon and ghost propagators of lattice Landau gauge in the strong coupling limit $\beta = 0$ in pure SU(2) lattice gauge theory to find evidence of the conformal infrared behaviour of these propagators as predicted by a variety…

High Energy Physics - Lattice · Physics 2010-01-21 Andre Sternbeck , Lorenz von Smekal
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