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Related papers: Test of the Polyakov Loop Model

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I give a brief review of the Polyakov Loops Model and tests thereof. I concentrate especially on how in a pure SU(N) gauge theory, Polyakov loops with Z(N) charges two and three affect the effective potential for charge-one loops.

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

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 determine from Polyakov loop correlators the screening masses in the deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature near the transition, for two different channels of angular momentum and parity. Their ratio…

High Energy Physics - Lattice · Physics 2008-11-26 Rossella Falcone , Roberto Fiore , Mario Gravina , Alessandro Papa

We determine from Polyakov loop correlators the screening masses in th e deconfined phase of the (3+1)d SU(3) pure gauge theory at finite temperature near transition, for two different channels of angular momentum and parity. Their ratio is…

High Energy Physics - Lattice · Physics 2015-06-30 Rossella Falcone , Roberto Fiore , Mario Gravina , Alessandro Papa

We discuss a non-perturbative renormalization of n-point Polyakov loop correlation functions by explicitly introducing a renormalization constant for the Polyakov loop operator on a lattice deduced from the short distance properties of…

High Energy Physics - Lattice · Physics 2017-08-23 F. Zantow

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

We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the sign problem and can be used for numeric Monte-Carlo…

High Energy Physics - Lattice · Physics 2021-12-02 Oleg Borisenko , Volodymyr Chelnokov , Emanuele Mendicelli , Alessandro Papa

We use gauge/string duality to analytically evaluate the renormalized Polyakov loop in pure Yang-Mills theories. For SU(3), the result is in a quite good agreement with lattice simulations for a broad temperature range.

High Energy Physics - Phenomenology · Physics 2009-06-30 Oleg Andreev

Polyakov loop eigenvalues and their N-dependence are studied in 2 and 4 dimensional SU(N) YM theory. The connected correlation function of the single eigenvalue distributions of two separated Polyakov loops in 2D YM is calculated and is…

High Energy Physics - Lattice · Physics 2015-06-16 Herbert Neuberger

We compute the correlation functions of Polyakov loops in $SU(N_c)$ gauge theories by explicitly summing all diagrams at tree level in two special cases, for $N_c = 2$ and $N_c = \infty$. When $N_c =2$ we find the expected we find…

High Energy Physics - Phenomenology · Physics 2015-02-05 Robert D. Pisarski , Vladimir V. Skokov

We discuss SU(N) gluo-dynamics at finite temperature and on a spatial circle. We show that the effective action for the Polyakov Loop operator is a one dimensional gauged SU(N) principle chiral model with variables in the loop space and…

High Energy Physics - Theory · Physics 2016-09-06 G. Grignani , G. Semenoff , P. Sodano

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 describe the "relative weights" method used to compute the effective Polyakov line action corresponding to a given lattice gauge theory, and present some results that have been obtained so far. The main motivation is the sign problem,…

High Energy Physics - Lattice · Physics 2013-12-03 Jeff Greensite , Kurt Langfeld

We report the nonperturbative behavior of the twisted Polyakov loop (TPL) coupling constant for the SU(3) gauge theories defined by the ratio of Polyakov loop correlators in finite volume with twisted boundary condition. Carrying out the…

High Energy Physics - Lattice · Physics 2013-11-15 Etsuko Itou

We compare SU(2) Polyakov loop models with different effective actions with data from full two-color QCD simulations around and above the critical temperature. We then apply the effective theories at finite temperature and density to…

High Energy Physics - Lattice · Physics 2014-12-23 Philipp Scior , David Scheffler , Dominik Smith , Lorenz von Smekal

I describe a study of the two-point single-eigenvalue distribution correlation function of Polyakov loops in the confined phase of four dimensional SU(N) YM theory at large N. The reasons for the interest in this correlation function are…

High Energy Physics - Lattice · Physics 2014-10-14 Herbert Neuberger

The addition of an adjoint Polyakov loop term to the action of a pure gauge theory at finite temperature leads to new phases of SU(N) gauge theories. For SU(3), a new phase is found which breaks Z(3) symmetry in a novel way; for SU(4), the…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

The susceptibilities of the real and imaginary parts, as well as of the modulus of the Polyakov loop, are computed in SU(3) lattice gauge theory. We show that the ratios of these susceptibilities are excellent probes of the deconfinement…

High Energy Physics - Lattice · Physics 2013-07-24 Pok Man Lo , Bengt Friman , Olaf Kaczmarek , Krzysztof Redlich , Chihiro Sasaki

Motivated by the sign problem, we calculate the effective Polyakov line action corresponding to certain SU(3) lattice gauge theories on a ${16^3 \times 6}$ lattice via the "relative weights" method introduced in our previous articles. The…

High Energy Physics - Lattice · Physics 2014-07-30 Jeff Greensite , Kurt Langfeld

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
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