Critical Temperature of Chiral Symmetry Restoration for Quark Matter with a Chiral Chemical Potential

摘要: In this article we study restoration of chiral symmetry at finite temperature for quark matter with a chiral chemical potential, μ5, by means of a nonlocal Nambu-Jona-Lasinio model. This model allows to introduce in the simplest way possible a Euclidean momentum, pE, dependent quark mass function which decays (neglecting logarithms) as 1/p2E for large pE, in agreement with asymptotic behaviour expected in QCD in presence of a nonperturbative quark condensate. We focus on the critical temperature for chiral symmetry restoration in the chiral limit, Tc, versus μ5, as well as on the order of the phase transition. We find that Tc increases with μ5, and that the transition remains of the second order for the whole range of μ5 considered.