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The Villain form of SO(3) lattice gauge theory is studied and compared to Wilson's SU(2) theory. The topological invariants in SO(3) which correspond to twisted boundary conditions in SU(2) are discussed and lattice observables are…

High Energy Physics - Lattice · Physics 2010-04-05 Philippe de Forcrand , Oliver Jahn

The sensitivity of Polyakov Nambu-Jona-Lasinio (PNJL) model as an effective theory of quark dynamics to chiral symmetry has been utilized in studying the QCD phase-diagram. Also, Poyakov linear sigma-model (PLSM), in which information about…

High Energy Physics - Phenomenology · Physics 2015-09-30 Abdel Nasser Tawfik , Niseem Magdy

We present results from numerical lattice calculations of SU(4) Yang-Mills theory. This work has two goals: to determine the order of the finite temperature deconfinement transition on an $N_t = 6$ lattice and to study the string tensions…

High Energy Physics - Lattice · Physics 2009-10-31 Matthew Wingate , Shigemi Ohta

We investigate the confining phase transition as function of temperature for theories with dynamical fermions in the two index symmetric and antisymmetric representation of the gauge group. By studying the properties of the center of the…

High Energy Physics - Theory · Physics 2009-11-11 Francesco Sannino

Using the Polyakov-loop effective action, we investigate the structure of spontaneously broken $\mathbb{Z}_N$ symmetry in the deconfinement vacuum in the SU($N$) Yang-Mills theory with finite $N$. First, we examine the Polyakov-loop…

High Energy Physics - Theory · Physics 2023-06-27 Yuto Nakajima , Hideo Suganuma

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature by using the Gocksch-Ogilvie model with fundamental or adjoint quarks. The model is based on the double expansion of strong coupling and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Fukushima

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

The phase diagram of SO(3) lattice gauge theory is investigated by Monte Carlo techniques on both symmetric and asymmetric lattices with a view (i) to understanding the relationship between the bulk transition and the deconfinement…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

We exactly reformulate the lattice CP(N-1) spin model on a D dimensional torus as a loop model whose configurations correspond to the complete set of strong coupling graphs of the original system. A Monte Carlo algorithm is described and…

High Energy Physics - Lattice · Physics 2010-03-31 Ulli Wolff

Reduced large N gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero…

High Energy Physics - Lattice · Physics 2009-11-11 Joe Kiskis

We discuss properties of local Polyakov loops in the deconfinement transition of SU(3) lattice gauge theory at finite temperature using the fixed scale approach. In particular we study spatial clusters where local Polyakov loops have phases…

High Energy Physics - Lattice · Physics 2013-11-01 Hans-Peter Schadler , Gergely Endrődi , Christof Gattringer

Two phenomenological models describing an SU(N) quark-gluon plasma are presented. The first is obtained from high temperature expansions of the free energy of a massive gluon, while the second is derived by demanding color neutrality over a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

Pure SU(3) glue theories exhibit a deconfining phase transition at a nonzero temperature, Tc. Using lattice measurements of the pressure, we develop a simple matrix model to describe the transition region, when T > Tc. This model, which…

High Energy Physics - Phenomenology · Physics 2011-02-23 Adrian Dumitru , Yun Guo , Yoshimasa Hidaka , Christiaan P. Korthals Altes , Robert D. Pisarski

We consider finite temperature SU(2) gauge theory in the continuum formulation, which necessitates the choice of a gauge fixing. Choosing the Landau gauge, the existing gauge copies are taken into account by means of the Gribov-Zwanziger…

High Energy Physics - Theory · Physics 2015-06-30 F. E. Canfora , D. Dudal , I. F. Justo , P. Pais , L. Rosa , D. Vercauteren

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

We construct an effective action for Polyakov loops using the eigenvalues of the Polyakov loops as the fundamental variables. We assume Z(N) symmetry in the confined phase, a finite difference in energy densities between the confined and…

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

We study the interplay between the chiral and the deconfinement transitions, both at high temperature and high quark chemical potential, by a non local Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation and…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki , R. Anglani , R. Gatto , G. Nardulli , M. Ruggieri

We consider the statistical mechanics of a class of models involving close-packed loops with fugacity $n$ on three-dimensional lattices. The models exhibit phases of two types as a coupling constant is varied: in one, all loops are finite,…

Statistical Mechanics · Physics 2013-10-15 Adam Nahum , J. T. Chalker , P. Serna , M. Ortuno , A. M. Somoza

In mean field approximation, the grand canonical potential of SU(3) Polyakov linear-$\sigma$ model (PLSM) is analysed for chiral phase-transition, $\sigma_l$ and $\sigma_s$ and for deconfinement order-parameters, $\phi$ and $\phi^*$ of…

Nuclear Theory · Physics 2016-11-16 Abdel Nasser Tawfik , Abdel Magied Diab , M. T. Hussein

We calculate the critical amplitudes of the Polyakov loop and its susceptibility at the deconfinement transition of (3+1) dimensional SU(2) gauge theory. To this end we study the corrections due to irrelevant exponents in the scaling…

High Energy Physics - Lattice · Physics 2009-10-31 J. Engels , T. Scheideler