Chiral logarithmic sigma model at finite temperature and baryonic chemical potential

Abstract

A logarithmic potential is suggested to study the chiral phase transition, the critical temperature, and the meson masses at finite temperature and baryonic chemical potential. The logarithmic potential is based on some aspects of quantum chromodynamics (QCD) theory. The model has been solved in the mean-field approximation. We found that the behavior of meson masses takes a similar behavior as in the original sigma model and the Nambu-Jona-Lasinio model. The critical temperature is reduced in comparison with the original sigma model and it is in good agreement with recent lattice QCD results. The chiral phase transition is crossover in the case of chiral explicit breaking symmetry. The Goldstone boson theorem is studied, in which the meson mass is massive and pion mass is massless at lower temperatures. Our conclusions indicate to the present model successfully predicts the phase transition as well as in the original quark sigma model and the Nambu-Jona-Lasinio model. A new advantage of the present model, the critical temperature is in good agreement with lattice QCD results at zero chemical potential. A condition of spontaneous breaking symmetry is necessary to satisfy the Goldstone theorem in the chiral limit.

Nucleon properties in the quantized linear sigma model at finite temperature and chemical potential

“…They found that two loops lead to complex terms that are ignored in the calculation of the critical temperature. At finite temperature and chemical potential, the one-loop approximation is successfully predicted the chiral phase transition [25] . …”

Dissociation of nucleon and heavy baryon in an anisotropic hot and dense QCD medium using Nikiforov–Uvarov method

“…On the other hand, the nucleon properties in hot and dense media using the chiral quark models has been investigated ( see Refs. [31][32][33][34][35][36]).…”

Mid-point technique for calculating divergent integrals

“…In this work, we focus on the quark models that deal with strong interactions between quarks inside nucleon. There are different quark models such as the quark sigma model and its extension [9][10][11][12][13][14][15] and Nambu and Jona-Lasinio model (NJL) its extension [16][17][18][19]. The NJL is taken as a model for the divergent integral [16].…”