2002/10/31 by Bing He, Hu Li, C. M. Shakin +1
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.67.014022
published as Phys.Rev. D67 (2003) 014022 · 20 pages, 10 figures, Revtex4
arxiv created 2002/11/21 · openalex publication_date 2003/01/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report the results of calculations of pseudoscalar-isoscalar hadronic current correlators using the Nambu--Jona-Lasinio model and the real-time finite-temperature formalism. (This work represents a continuation of results reported previously for other current correlators.) Results are presented for the temperatures range 1.2<~T/Tc<~6.0, where Tc is the temperature of the confinement-deconfinement transition, which we take to be Tc=170MeV. Some resonant features are seen in our calculations. In order to understand the origin of these resonances, we have performed relativistic random phase approximation (RPA) calculations of the temperature-dependent spectrum of the \ensuremathη mesons for T<Tc. For the RPA calculations, use is made of a simple model in which we introduce temperature-dependent constituent quark masses calculated in a mean-field approximation and a temperature-dependent confining interaction whose form is motivated by recent studies made using lattice simulations of QCD with dynamical quarks. We also introduce temperature-dependent coupling constants in our generalized NJL model. Our motivation in the latter case is the simulation of the approach to a weakly interacting system at high temperatures and the avoidance of ``\ensuremathη condensates'' which would indicate instability of the ground state of the model. We present some evidence that supports our use of temperature-dependent coupling constants for the NJL model. We suggest that our results may be of interest to researchers who use lattice simulations of QCD to obtain temperature-dependent spectral functions for various hadronic current correlation functions.