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Related papers: The Polyakov loop models in the large N limit: Cor…

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The broad class of U(N) and SU(N) Polyakov loop models on the lattice are solved exactly in the combined large N, Nf limit, where N is a number of colors and Nf is a number of quark flavors, and in any dimension. In this 't Hooft-Veneziano…

High Energy Physics - Lattice · Physics 2021-11-16 O. Borisenko , V. Chelnokov , S. Voloshyn

Computations of screening masses in finite-temperature QCD at finite density are plagued by the sign problem and have been performed so far with an imaginary chemical potential. Here, we use a dual formulation of a Polyakov-loop model which…

High Energy Physics - Lattice · Physics 2023-09-13 O. Borisenko , V. Chelnokov , E. Mendicelli , A. Papa

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

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

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

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 compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations…

High Energy Physics - Phenomenology · Physics 2015-06-12 Leonard Fister , Jan M. Pawlowski

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

High Energy Physics - Phenomenology · Physics 2013-02-07 Leonard Fister , Jan M. Pawlowski

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

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 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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter N. Meisinger , Michael C. Ogilvie

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 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 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

The Polyakov loop potential serves to distinguish between the confined hadronic and the deconfined quark-gluon plasma phases of QCD. For Nf=2+1 quark flavors with physical masses we determine the Polyakov loop potential at finite…

High Energy Physics - Phenomenology · Physics 2015-06-16 Christian S. Fischer , Leonard Fister , Jan Luecker , Jan M. Pawlowski

Many Polyakov loop models can be written in a dual formulation which is free of sign problem even when a non-vanishing baryon chemical potential is introduced in the action. Here, results of numerical simulations of a dual representation of…

High Energy Physics - Lattice · Physics 2021-02-09 Oleg Borisenko , Volodymyr Chelnokov , Emanuele Mendicelli , Alessandro Papa

We compute the one-loop effective potential for the Polyakov loop on $S^3 times S^1$ for an asymptotically free gauge theory of arbitrary group $G$ and a generic matter content. We apply this result to study the phase structures of $G_2$,…

High Energy Physics - Theory · Physics 2008-11-26 Carlos Hoyos , Biagio Lucini , Asad Naqvi

In quenched QCD the Polyakov loop is an order parameter of the deconfinement transition, but with decreasing quark mass, the peak in the Polyakov loop susceptibility becomes less pronounced, and it loses its interpretation as an indicator…

High Energy Physics - Lattice · Physics 2024-01-04 David A. Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri

Screening properties of the quark gluon plasma are studied from Polyakov-loop correlation in lattice QCD simulations with two flavors of improved Wilson quarks at temperatures $T/\Tpc \simeq 1$--4 where $\Tpc$ is the pseudocritical…

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

With combined hopping parameter and strong coupling expansions, we calculate a dimensionally reduced Polyakov-loop effective theory valid for heavy quarks at nonzero temperature and arbitrary chemical potential. We numerically compute the…

High Energy Physics - Lattice · Physics 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen
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