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Effective Polyakov line actions are a powerful tool to study the finite temperature behaviour of lattice gauge theories. They are much simpler to simulate than the original (3+1) dimensional LGTs and are affected by a milder sign problem.…

High Energy Physics - Lattice · Physics 2018-04-18 Michele Caselle , Alessandro Nada

We investigate baryon number fluctuations for finite temperature and density in two-flavor QCD. This is done within a QCD-improved low-energy effective theory in an extension of the approach put forward in [1,2]. In the present work we aim…

High Energy Physics - Phenomenology · Physics 2017-01-04 Wei-jie Fu , Jan M. Pawlowski , Fabian Rennecke , Bernd-Jochen Schaefer

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 calculate the spectrum of transfer matrix eigenvalues associated with Polyakov loops in finite-density lattice QCD with static quarks. These eigenvalues determine the spatial behavior of Polyakov loop correlations functions. Our results…

High Energy Physics - Lattice · Physics 2016-05-11 Hiromichi Nishimura , Michael C. Ogilvie , Kamal Pangeni

We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by…

High Energy Physics - Lattice · Physics 2015-03-19 Philippe de Forcrand , Michael Fromm , Jens Langelage , Kotaroh Miura , Owe Philipsen , Wolfgang Unger

Effective Polyakov line actions are a powerful tool to study the finite temperature behaviour of lattice gauge theories. They are much simpler to simulate than the original lattice model and are affected by a milder sign problem, but it is…

High Energy Physics - Lattice · Physics 2017-11-10 Michele Caselle , Alessandro Nada

At finite imaginary values of the chemical potential, QCD is free of the sign problem. Moreover, at high temperatures the partition function exhibits a new symmetry (the Roberge-Weiss symmetry) connecting phases with different orientations…

High Energy Physics - Lattice · Physics 2021-11-03 Amine Chabane , Gergely Endrödi

The asymptotic behavior of the correlator for Polyakov loop operators separated by a large distance $R$ is determined for high temperature QCD. It is dominated by nonperturbative effects related to the exchange of magnetostatic gluons. To…

High Energy Physics - Phenomenology · Physics 2010-11-01 Eric Braaten , Agustin Nieto

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann

Toward the derivation of an effective theory for Polyakov loops in lattice QCD, we examine Polyakov loop correlation functions using the multi-level algorithm which was recently developed by Luscher and Weisz.

High Energy Physics - Lattice · Physics 2015-06-25 Y. Nemoto , RBC Collaboration

We determine the correlation between Polyakov loops in three dimensional SU(3) gauge theory in the confined region at finite temperature. For this purpose we perform lattice calculations for the number of steps in the temperature direction…

High Energy Physics - Lattice · Physics 2010-05-25 P. Bialas , L. Daniel , A. Morel , B. Petersson

We consider a three-dimensional effective theory of Polyakov lines derived previously from lattice Yang-Mills theory and QCD by means of a resummed strong coupling expansion. The effective theory is useful for investigations of the phase…

High Energy Physics - Lattice · Physics 2015-05-06 Georg Bergner , Jens Langelage , Owe Philipsen

We discuss the nature of the QCD phase transition in the heavy quark high-density region by considering an effective theory in which Polyakov loops are dynamical variables. The Polyakov loop is an order parameter of $Z_3$ symmetry, and the…

High Energy Physics - Lattice · Physics 2026-01-23 Shinji Ejiri , Masanari Koiida , Toshiki Sato

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

The aim of this work is to shed light on some lesser known aspects of Polyakov-loop--extended chiral models (namely the Polyakov-loop extended Nambu--Jona-Lasinio and Quark-Meson models), especially on the correlation of the quark sector…

High Energy Physics - Phenomenology · Physics 2020-05-06 Hubert Hansen , Rainer Stiele , Pedro Costa

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

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

In this paper, we explore the possibility of spontaneous CP violation in the scattering of quarks and anti-quarks from QCD Z(3) domain walls. The CP violation here arises from the nontrivial profile of the background gauge field $(A_{0})$…

High Energy Physics - Phenomenology · Physics 2012-01-31 Abhishek Atreya , Anjishnu Sarkar , Ajit M. Srivastava

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

We study the Polyakov loop and the correlator of two Polyakov loops at finite temperature in the weak-coupling regime. We calculate the Polyakov loop at order g^4. The calculation of the correlator of two Polyakov loops is performed at…

High Energy Physics - Phenomenology · Physics 2010-10-27 Nora Brambilla , Jacopo Ghiglieri , Peter Petreczky , Antonio Vairo