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The phase diagram of the massive chiral Gross-Neveu model (the massiveNambu-Jona-Lasinio model in 1+1 dimensions) is constructed. In the large Nlimit, the Hartree-Fock approach can be used. We find numerically a chiralcrystal phase separated from a massive Fermi gas phase by a 1st ordertransition. Using perturbation theory, we also construct the critical sheetwhere the homogeneous phase becomes unstable in a 2nd order transition. Atricritical curve is located. The phase diagram is mapped out as a function offermion mass, chemical potential and temperature and compared with the one ofthe discrete chiral Gross-Neveu model. As a by-product, we illustrate thecrystal structure of matter at zero temperature for various densities andfermion masses.

Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock