Susceptibilities and critical exponents within the Nambu--Jona-Lasinio model

Abstract

In the mean field approximation of (2+1)-flavor Nambu--Jona-Lasinio model, we strictly derive several sets of coupled equations for the chiral susceptibility, the quark number susceptibility, etc. at finite temperature and quark chemical potential. The critical exponents of these susceptibilities in the vicinity of the QCD critical end point (CEP) are presented in SU(2) and SU(3) cases, respectively. It is found that these various susceptibilities share almost the same critical behavior near the CEP. The comparisons between the critical exponents for the order parameters and the theoretical predictions are also included.

13 pages, 6 figures

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• Phase structure of NJL model with weak renormalization group
• Chiral transition and the chiral charge density of the hot and dense QCD matter
• Chiral phase transition from the Dyson-Schwinger equations in a finite spherical volume
• A new algorithm towards quasi-Wigner solution of the gap equation beyond the chiral limit
• Transport properties and equation-of-state of hot and dense QGP matter near the critical end-point in the phenomenological dynamical quasi-particle model