Mass generation without phase coherence in Chiral Gross-Neveu Model at finite temperature and low N and its analogy to pseudogap phase of strong-coupling superconductor

We show that the chiral Gross-Neveu model for a small number N of fermions has two characteristic temperatures: $T_c$ that corresponds to restoration of long-range or quasi-long-range order and $T^* (>T_c)$ that corresponds to thermal fermion pairs breaking.