arXiv: Nuclear Theory | 2019
Chiral crossover characterized by Mott transition at finite temperature.
Abstract
We discuss the proper definition for the chiral crossover at finite temperature, based on the Goldstone s theorem. Different from the usually used maximum change of chiral condensate, we propose to define the crossover temperature by the Mott transition of pseudo-Goldstone bosons, which, by definition, guarantees the Goldstone s theorem. We analytically and numerically demonstrate this property in frame of a Pauli-Villars regularized NJL model. In external magnetic field, we find that the Mott transition temperature shows an inverse magnetic catalysis effect.