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For the $Z_{3}$-symmetric lattice QCD-like theory ($Z_3$-QCD), in which $SU(3)$ gauge theory is coupled with three fundamental Wilson quarks with flavor-dependent twisted boundary conditions, we calculate the expectation values of Polyakov…

High Energy Physics - Lattice · Physics 2015-10-27 Tatsuhiro Misumi , Takumi Iritani , Etsuko Itou

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

High Energy Physics - Lattice · Physics 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

We approach the non-perturbative regime in finite temperature QCD within a formulation in Polyakov gauge. The construction is based on a complete gauge fixing. Correlation functions are then computed from Wilsonian renormalisation group…

High Energy Physics - Phenomenology · Physics 2008-12-08 Florian Marhauser , Jan M. Pawlowski

We investigate the thermodynamic behavior and phase diagram of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2 \times \mathbb{R}^2$ in Euclidean spacetime using an effective model. In our approach, the Polyakov loops along the compactified…

High Energy Physics - Phenomenology · Physics 2025-03-26 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

We analyze the role played by the Polyakov loop in the description of the chiral phase transition within the framework of nonlocal SU(3) chiral models with flavor mixing. We show that its presence provides a substantial enhancement of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gustavo A. Contrera , Daniel Gomez Dumm , Norberto N. Scoccola

We study the SU(2) gauge theory with scalar matter in the adjoint representation in 3D at finite temperature. We find evidence for a finite temperature phase transition both in the symmetric and in the broken phase; such transitions are…

High Energy Physics - Lattice · Physics 2009-11-10 A. Barresi , L. Del Debbio , B. Lucini

Finite temperature SU(2) lattice gauge theory is investigated in a 3D cubic box with fixed boundary conditions provided by a discretized, static BPS monopole solution with varying core scale $\mu$. Using heating and cooling techniques we…

High Energy Physics - Lattice · Physics 2011-09-13 E. -M. Ilgenfritz , S. V. Molodtsov , M. Müller-Preussker , A. I. Veselov

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified…

High Energy Physics - Phenomenology · Physics 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

When studied at finite temperature, Yang-Mills theories in $3+1$ dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order -- the $SU(2)$ gauge theory being the exception.…

High Energy Physics - Lattice · Physics 2023-09-25 Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

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 studied the finite temperature phase transition of SU(2) gauge theory on four-dimensional Euclidean lattices by Monte Carlo simulations, and measured the flux distributions of a $q\bar q$ pair in both confined and unconfined phases. We…

High Energy Physics - Lattice · Physics 2009-09-25 Yingcai Peng , Richard W. Haymaker

We calculate the solenoidal magnetic monopole current and electric flux distributions at finite temperature in the presence of a static quark antiquark pair. The simulation was performed using SU(2) lattice gauge theory in the maximal…

High Energy Physics - Lattice · Physics 2016-09-01 Yingcai Peng , Richard W. Haymaker

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. For this purpose, we use a novel reformulation of the…

High Energy Physics - Theory · Physics 2015-11-19 Kei-Ichi Kondo , Akihiro Shibata

An attempt to adapt the study of color flux tubes to the case of finite temperature has been made. The field is measured both through the correlator of two Polyakov loops, one of which connected to a plaquette, and through a connected…

High Energy Physics - Lattice · Physics 2015-11-02 Paolo Cea , Leonardo Cosmai , Francesca Cuteri , Alessandro Papa

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite…

High Energy Physics - Lattice · Physics 2008-11-26 Guido Cossu , Massimo D'Elia , Adriano Di Giacomo , Biagio Lucini , Claudio Pica

Recent lattice simulation has uncovered many interesting properties of SU(N) gauge theory at finite temperature. Especially, above the deconfinement phase transition all the thermodynamics quantities acquire significant quadratic…

High Energy Physics - Phenomenology · Physics 2015-06-19 Fen Zuo , Yi-Hong Gao

For a system near a second order phase transition, the probability distribution for the order parameter can be given a finite size scaling form. This fact is used to compare the finite temperature phase transition for the Wilson lines in…

High Energy Physics - Lattice · Physics 2007-05-23 Stuart Staniford-Chen

We investigate the pseudo specific heat of SU(2) gauge theory near the crossover point on $4^4$ to $16^4$ lattices. Several different methods are used to determine the specific heat. The curious finite size dependence of the peak maximum is…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , T. Scheideler

The free energy of U(N) and SU(N) gauge theory was recently found to be of order N^0 to all orders of a perturbative expansion about a center-symmetric orbit of vanishing curvature. Here I consider extended models for which this expansion…

High Energy Physics - Theory · Physics 2009-11-11 Martin Schaden

We study thermodynamics of SU(3) gauge theory at fixed scales on the lattice, where we vary temperature by changing the temporal lattice size N_t=(Ta_t)^{-1}. In the fixed scale approach, finite temperature simulations are performed on…

High Energy Physics - Lattice · Physics 2010-01-21 T. Umeda , S. Ejiri , S. Aoki , T. Hatsuda , K. Kanaya , Y. Maezawa , H. Ohno