Crystalline condensates in the chiral symmetry breaking phase diagram

Abstract

The existence of crystalline condensates in the temperature and chemcial potential phase diagram of the Gross‐Neveu models can be traced to intricate symmetries of the associated inhomogeneous gap equation, which in turn reflect the form of chiral symmetry (discrete or continuous) that is broken. The gap equation based on the Ginzburg‐Landau expansion is precisely the mKdV or AKNS hierarchy of integrable nonlinear equations for the Gross‐Neveu model with discrete or continuous chiral symmetry, respectively.