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We evaluate the dressed Polyakov loop for hot quark matter in strong magnetic field. To compute the finite temperature effective potential, we use the Polyakov extended Nambu-Jona Lasinio model with eight-quark interactions taken into…

High Energy Physics - Phenomenology · Physics 2014-11-21 Raoul Gatto , Marco Ruggieri

At finite temperature, chiral quark models do not incorporate large gauge invariance which implies genuinely non-perturbative finite temperature gluonic degrees of freedom. Motivated by this observation, we describe how the coupling of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. Megias , E. Ruiz Arriola , L. L. Salcedo

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 investigate the QCD phase diagram of isospin asymmetric matter using the Polyakov loop extended quark meson (PQM) model with vector interaction. The critical point temperature is found to decrease in isospin asymmetric matter and…

Nuclear Theory · Physics 2013-10-30 Hiroshi Ueda , Takashi Z. Nakano , Akira Ohnishi , Marco Ruggieri , Kohsuke Sumiyoshi

We study effective models of chiral fields and Polyakov loop expected to describe the dynamics responsible for the phase structure of two-flavor QCD at finite temperature and density. We consider chiral sector described either using linear…

High Energy Physics - Phenomenology · Physics 2011-01-20 Topi Kahara , Kimmo Tuominen

We examine the one-dimensional spinless Falicov-Kimball model extended by a hybridization potential between the localized and itinerant electron states. Below half-filling we find a crossover from a mixed-valence metal to an integer-valence…

Strongly Correlated Electrons · Physics 2009-01-26 P. M. R. Brydon , M. Gulacsi , A. R. Bishop

We compare two order parameters for the deconfinement transition, induced by thermal and density effects, commonly used in the literature, namely the thermal and density evolution of the continuum threshold $s_{0}$, within the frame of the…

High Energy Physics - Phenomenology · Physics 2017-09-06 J. P. Carlomagno , M. Loewe

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 study the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. The effective actions contain center-symmetric terms involving powers of the Polyakov loop, each with its own coupling. For a subclass with two…

High Energy Physics - Lattice · Physics 2008-12-19 Andreas Wipf , Thomas Heinzl , Tobias Kaestner , Christian Wozar

We study a model of quark-gluon plasma of 2+1 flavors Quantum Chromodynamics in terms of quasiparticles propagating in a condensate of Polyakov loops. The Polyakov loop is coupled to quasiparticles by means of a gas-like effective…

High Energy Physics - Phenomenology · Physics 2015-06-17 Lucia Oliva , Paolo Castorina , Vincenzo Greco , Marco Ruggieri

We study the linear Zakharov--Kuznetsov equation with periodic boundary conditions. Employing some tools from the nonharmonic Fourier series we obtain several internal observability theorems. Then we prove various exact controllability and…

Analysis of PDEs · Mathematics 2025-02-25 Roberto de A. Capistrano Filho , Vilmos Komornik , Ademir F. Pazoto

Imaginary chemical potentials serve as a useful tool to constrain the QCD phase diagram and to gain insight into the thermodynamics of strongly interacting matter. In this study, we report on the first determination of the phase diagram for…

High Energy Physics - Lattice · Physics 2022-07-22 Bastian B. Brandt , Amine Chabane , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi , Christopher Winterowd

Chiral phase transition is investigated in an $SU(3)_L \times SU(3)_R$ symmetric vector meson extended linear sigma model with additional constituent quarks and Polyakov loops (extended Polyakov quark meson model). The parameterization of…

High Energy Physics - Phenomenology · Physics 2015-07-09 Péter Kovács , György Wolf

Constrained effective potentials in hot gauge theory give the probability that a configuration p of the order parameter (Polyakov loop) occurs. They are important in the analysis of surface effects and bubble formation in the plasma. The…

High Energy Physics - Theory · Physics 2010-11-01 C. P. Korthals Altes

The determination of the two-body density functional from its one-body density is achieved for Moshinsky's harmonium model, using a phase-space formulation, thereby resolving its phase dilemma. The corresponding sign rules can equivalently…

Chemical Physics · Physics 2010-11-23 José M. Gracia-Bondía , Joseph C. Várilly

It appears well accepted in the literature that the correlator of Polyakov loops in a finite temperature system decays with the "average" free energy of the static quark-antiquark system, and can be decomposed into singlet and adjoint (or…

High Energy Physics - Lattice · Physics 2007-05-23 Oliver Jahn , Owe Philipsen

We use the Nambu--Jona-Lasinio model to study the effects of the isospin chemical potential on the QCD phase diagram at nonzero temperature and baryon chemical potential. We find that the phase diagram is qualitatively altered by a small…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. Toublan , J. B. Kogut

We discuss the two point functions for the real and imaginary parts of the Polyakov loop in a pure SU(3) gauge theory. The behavior of these correlation functions in the Polyakov Loop Model is markedly different from that in perturbation…

High Energy Physics - Lattice · Physics 2007-05-23 Adrian Dumitru , Robert D. Pisarski

We present a dual representation of the partition function of the charged scalar field in which the complex action problem at non-zero chemical potential is absent. In this dual representation Monte Carlo simulations are possible and we…

High Energy Physics - Lattice · Physics 2013-11-01 Thomas Kloiber , Christof Gattringer

QCD thermodynamics is studied using a model which combines Polyakov loop dynamics with spontaneous chiral symmetry breaking and its restoration (the PNJL model). The input is fixed entirely by pure-gauge lattice QCD results and by pion…

High Energy Physics - Phenomenology · Physics 2008-11-26 Wolfram Weise , Claudia Ratti , Simon Roessner
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