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Related papers: Effective SU(2) Polyakov Loop Theories with Heavy …

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We study the implications of the spontaneous and explicit Z(3) center symmetry breaking for the Polyakov loop susceptibilities. To this end, ratios of the susceptibilities of the real and imaginary parts, as well as of the modulus of the…

High Energy Physics - Phenomenology · Physics 2018-06-13 Pok Man Lo , Michał Szymański , Krzysztof Redlich , Chihiro Sasaki

We derive an analytic expression for point to point correlation functions of the Polyakov loop based on the transfer matrix formalism. The contributions from the eigenvalues of the transfer matrix including and beyond the mass gap are…

High Energy Physics - Lattice · Physics 2009-10-22 J. Engels , V. K. Mitrjushkin , T. Neuhaus

We construct an exact solution of the $d$-dimensional $SU(N)$ Polyakov loop model with the exact static quark determinant at finite temperature and non-zero baryon chemical potential in the 't~Hooft--Veneziano limit. In the joint large-$N$,…

High Energy Physics - Lattice · Physics 2025-12-09 Sergii Voloshyn

We derive effective Polyakov line actions for SU(3) gauge theories with staggered dynamical fermions, for a small sample of lattice couplings, lattice actions, and lattice extensions in the time direction. The derivation is via the method…

High Energy Physics - Lattice · Physics 2016-07-27 Roman Höllwieser , Jeff Greensite

A non-perturbative method of Field Correlators is applied to calculate the Polyakov loop dependence on temperature, $L(T)$, in the 2+1 flavor QCD with small quark masses, so the only relevant scale is the color-electric string tension…

High Energy Physics - Phenomenology · Physics 2019-04-02 R. A Abramchuk , Z. V. Khaidukov , Yu. A. Simonov

We investigate high density state of SU(2) QCD by using Lattice QCD simulation with Wilson fermions. The ratio of fermion determinants is evaluated at each step of the Metropol is link update by Woodbury formula. At $\beta=0.7$, and $\kappa…

Nuclear Theory · Physics 2007-05-23 S. Muroya , A. Nakamura , C. Nonaka

The 't Hooft-Veneziano limit of various U(N) and SU(N) Polyakov loop models is constructed at finite temperature and non-zero baryon chemical potential. In this paper we calculate the free energy, its derivatives, the Polyakov loop…

High Energy Physics - Lattice · Physics 2022-01-19 O. Borisenko , V. Chelnokov , S. Voloshyn

We discuss the behavior of two point functions for Polyakov loops in a SU(3) gauge theory about the critical temperature, T_c. From a Z(3) model, in mean field theory we obtain a prediction for the ratio of masses at T_c, extracted from…

High Energy Physics - Phenomenology · Physics 2009-11-07 Adrian Dumitru , Robert D. Pisarski

We study the quark number susceptibility in SU(2) lattice gauge theory with two Wilson quark flavours at non-zero chemical potential and low temperature. We present some technical aspects of the issue and numerical results obtained at…

High Energy Physics - Lattice · Physics 2011-10-28 Pietro Giudice , Simon Hands , Jon-Ivar Skullerud

We calculate the complete one-loop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: phi, the angle associated with a non-trivial Polyakov loop, and H, a constant background chromomagnetic field.…

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

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

High Energy Physics - Theory · Physics 2016-09-21 Markus Quandt , Hugo Reinhardt

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

For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. In practice, the evaluation of these theories is complicated by the…

High Energy Physics - Lattice · Physics 2022-12-09 Christoph Konrad , Owe Philipsen , Jonas Scheunert

Heat kernel expansions at finite temperature of massless QCD and chiral quark models generate effective actions relevant for both low and high temperature QCD. The key relevance of the Polyakov Loop to maintain the large and…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We present here the results of our high accuracy simulations of $q\bar q$ potential in $d=4$ SU(3) Yang-Mills theory. We measure this quantity by measuring the {\it Polyakov Loop Correlators} using the {\it exponential variance reduction…

High Energy Physics - Lattice · Physics 2007-05-23 N. D. Hari Dass , Pushan Majumdar

A recently proposed phenomenological model, which includes nonperturbative effects from dimension two gluon condensates, is applied to analyze the available lattice data for the heavy quark free energy in the deconfined phase of quenched…

High Energy Physics - Phenomenology · Physics 2025-01-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

During the first part of this review we will focus on the thermodynamics of $SU(N)$ gauge theories at finite temperature. We will present results from a calculation of electric and magnetic screening masses for the gluons, discuss…

High Energy Physics - Lattice · Physics 2007-05-23 Frithjof Karsch

Properties of local Polyakov loops are studied in finite temperature lattice QCD and SU(3) lattice gauge theory. We evaluate local Polyakov loops, identify the closest center element for each loop and investigate cluster properties of these…

High Energy Physics - Lattice · Physics 2011-03-02 Julia Danzer , Christof Gattringer , Szabolcs Borsanyi , Zoltan Fodor

The thermodynamics of QCD with sufficiently heavy dynamical quarks can be described by a three-dimensional Polyakov loop effective theory, obtained after a truncated character and hopping expansion. We investigate the resulting phase…

High Energy Physics - Lattice · Physics 2022-12-20 Amine Chabane , Owe Philipsen

Thermodynamic properties of strongly interacting matter are investigated using the Polyakov loop enhanced Nambu$-$Jona-Lasinio model along with some modifications to include the hadrons. Various observables are shown to have a close…

High Energy Physics - Phenomenology · Physics 2020-10-21 Abhijit Bhattacharyya , Paramita Deb , Sanjay K. Ghosh , Soumitra Maity , Sibaji Raha , Rajarshi Ray , Kinkar Saha , Sudipa Upadhaya