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We investigate the chiral condensate and the dressed Polyakov loop or dual chiral condensate at finite temperature and density in two-flavor Nambu--Jona-Lasinio model. The dressed Polyakov loop is regarded as an equivalent order parameter…

高能物理 - 唯象学 · 物理学 2015-03-17 Tamal K. Mukherjee , Huan Chen , Mei Huang

Based on quantum statistical mechanics we show that the $SU(3)$ color singlet ensemble of a quark-gluon gas exhibits a $Z(3)$ symmetry through the normaized character in fundamental representation and also becomes equivalent, within a…

高能物理 - 唯象学 · 物理学 2014-12-30 Chowdhury Aminul Islam , Raktim Abir , Munshi G. Mustafa , Sanjay K. Ghosh , Rajarshi Ray

We show that the magnitude of the order parameters in Polyakov-Nambu-Jona-Lasinio (PNJL) model, given by the quark condensate and the Polyakov loop, can be used as a criterium to clearly identify, without ambiguities, phases and boundaries…

高能物理 - 唯象学 · 物理学 2014-06-26 M. Dutra , O. Lourenço , A. Delfino , T. Frederico , M. Malheiro

Chiral quark models with Polyakov loop at finite temperature have been often used to describe the phase transition. We show how the transition to a hadron resonance gas is realized based on the quantum and local nature of the Polyakov loop.

高能物理 - 唯象学 · 物理学 2012-07-23 E. Ruiz Arriola , E. Megias , L. L. Salcedo

We study the interpretation of Lattice data about the thermodynamics of the deconfinement phase of SU(3) Yang-Mills theory, in terms of gluon quasiparticles propagating in a background of a Polyakov loop. A potential for the Polyakov loop,…

高能物理 - 唯象学 · 物理学 2013-05-30 M. Ruggieri , P. Alba , P. Castorina , S. Plumari , C. Ratti , V. Greco

We extend the Polyakov-loop improved Nambu--Jona-Lasinio (PNJL) model to 2+1 flavor case to study the chiral and deconfinement transitions of strongly interacting matter at finite temperature and nonzero chemical potential. The…

高能物理 - 唯象学 · 物理学 2008-11-26 Wei-jie Fu , Zhao Zhang , Yu-xin Liu

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

高能物理 - 唯象学 · 物理学 2022-12-14 Markus Quandt , Hugo Reinhardt

We describe how the inclusion of the gluonic Polyakov loop incorporates large gauge invariance and drastically modifies finite temperature calculations in chiral quark models after color neutral states are singled out. This generates an…

高能物理 - 唯象学 · 物理学 2009-11-10 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We study the deconfining phase transition in SU(N) gauge theories at nonzero temperature using a matrix model of Polyakov loops. The most general effective action, including all terms up to two spatial derivatives, is presented. At large N,…

高能物理 - 唯象学 · 物理学 2009-11-10 Adrian Dumitru , Jonathan Lenaghan , Robert D. Pisarski

Understanding the character of the deconfinement phase transition is one of the fundamental challenges in particle physics. In this work, we derive a formula for the expectation value of the Polyakov loop -- the order parameter of the…

高能物理 - 唯象学 · 物理学 2025-06-17 Bing-Kai Sheng , Yong-Liang Ma

At nonzero temperature in QCD, about the deconfining phase transition there is a "semi" quark gluon plasma (semi-QGP), where the expectation value of the (renormalized) Polyakov loop is less than one. This can be modeled by a semiclassical…

高能物理 - 唯象学 · 物理学 2010-04-28 Yoshimasa Hidaka , Robert D. Pisarski

The Polyakov loop extended Nambu--Jona-Lasinio (PNJL) model with imaginary chemical potential is studied. The model possesses the extended ${\mathbb Z}_{3}$ symmetry that QCD does. Quantities invariant under the extended ${\mathbb Z}_{3}$…

高能物理 - 唯象学 · 物理学 2008-11-26 Yuji Sakai , Kouji Kashiwa , Hiroaki Kouno , Masanobu Yahiro

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…

高能物理 - 格点 · 物理学 2015-06-11 Michael Fromm , Jens Langelage , Stefano Lottini , Mathias Neuman , Owe Philipsen

We investigate three-colour QCD thermodynamics at finite quark chemical potential. Lattice QCD results are compared with a generalized Nambu Jona-Lasinio model in which quarks couple simultaneously to the chiral condensate and to a…

高能物理 - 唯象学 · 物理学 2008-11-26 C. Ratti , M. A. Thaler , W. Weise

In order to study the nuclear matter in the relativistic heavy ion collisions and the compact stars, we need the hadronic density of states for the entire ($\mu_B-T$) phase transition diagram. We present a model for the continuous…

核理论 · 物理学 2010-11-30 Ismail Zakout , Carsten Greiner

We explore the NJL model with Polyakov loops for a system of three colors and two flavors within the mean-field approximation, where both chiral symmetry and confinement are taken into account. We focus on the phase structure of the model…

高能物理 - 唯象学 · 物理学 2007-05-23 C. Sasaki , B. Friman , K. Redlich

We investigate temperature fluctuations in hot QCD matter using a 3-flavor Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. The high-order cumulant ratios $R_{n2}$ ($n>2$) exhibit non-monotonic variations across the chiral phase…

核理论 · 物理学 2026-04-23 He Liu , Peng Wu , Hong-Ming Liu , Peng-Cheng Chu

The values of renormalized Polyakov loops in the three lowest representations of SU(3) were measured numerically on the lattice. We find that in magnitude, condensates respect the large-N property of factorization. In several ways, the…

高能物理 - 唯象学 · 物理学 2017-08-23 Adrian Dumitru , Jonathan T. Lenaghan

By introducing the dressed Polayakov loop or dual chiral condensate as a candidate order parameter to describe the deconfinement phase transition for light flavors, we discuss the interplay between the chiral and deconfinement phase…

高能物理 - 唯象学 · 物理学 2017-11-22 Fukun Xu , Mei Huang

A PNJL model is built, in which the Polyakov-loop potential is explicitly Z$_{N_c}$-symmetric in order to mimic a Yang-Mills theory with gauge group SU($N_c$). The physically expected large-$N_c$ and large-$T$ behaviours of the…

高能物理 - 唯象学 · 物理学 2012-02-02 F. Buisseret , G. Lacroix