Mesonic correlation functions at finite temperature and density in the Nambu–Jona-Lasinio model with a Polyakov loop

2006/09/30 by H. Hansen, W.M. Alberico, W. M. Alberico +6 · 1 citation
Physics and Astronomy · #Chiral symmetry breaking #Deconfinement #Goldstone boson #High-Energy Particle Collisions Research #Mathematical physics #Meson #Nambu–Jona-Lasinio model #Nonlinear system #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Propagator #Pseudoscalar #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Quark #Sigma model #Symmetry breaking #hep-ph

paper · pdf · doi:10.1103/physrevd.75.065004

published as Phys.Rev.D75:065004,2007 · 24 pages, 9 figures, version to appear in Phys. Rev. D

arxiv created 2007/01/29 · openalex publication_date 2007/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the properties of scalar and pseudoscalar mesons at finite temperature and quark chemical potential in the framework of the Nambu--Jona-Lasinio (NJL) model coupled to the Polyakov loop (PNJL model) with the aim of taking into account features of both chiral symmetry breaking and deconfinement. The mesonic correlators are obtained by solving the Schwinger-Dyson equation in the RPA approximation with the Hartree (mean field) quark propagator at finite temperature and density. In the phase of broken chiral symmetry, a narrower width for the \ensuremathσ meson is obtained with respect to the NJL case; on the other hand, the pion still behaves as a Goldstone boson. When chiral symmetry is restored, the pion and \ensuremathσ spectral functions tend to merge. The Mott temperature for the pion is also computed.

Citations

• Susceptibilities and speed of sound from the Polyakov-Nambu-Jona-Lasinio model
• Spectral Density Functions and Their Sum Rules in an Effective Chiral Field Theory
• Hadronic current correlation functions at finite temperature in the NJL model
• Baryon-Strangeness Correlations: A Diagnostic of Strongly Interacting Matter
• Chiral effective model with the Polyakov loop
• Pseudoscalar neutral mesons in hot and dense matter
• Toward a theory of binary bound states in the quark-gluon plasma
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Polyakov loop in chiral quark models at finite temperature
• Confinement versus Chiral Symmetry
• Lattice calculations of meson correlators and spectral functions at finite temperature
• Finite momentum meson correlation functions in a QCD plasma
• On the phase transition towards permanent quark confinement
• Comprehensive Interpretation of Thermal Dileptons Measured at the CERN Super Proton Synchrotron
• Investigation of meson loop effects in the Nambu-Jona-Lasinio model
• Polyakov loop, diquarks, and the two-flavor phase diagram

Cited by

• Correlation between conserved charges in Polyakov–Nambu–Jona-Lasinio model with multiquark interactions