Tricritical behavior of the massive chiral Gross-Neveu model

Abstract

The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is cast into the form of a Ginzburg-Landau effective action. Minimization of this action by variational and numerical methods reveals both 1st and 2nd order phase transitions to a chiral crystal phase, separated by a tricritical line. These findings are contrasted to the massive Gross-Neveu model with discrete chiral symmetry where only 2nd order transitions have been observed.

10 pages, 10 figures; v2: More details about perturbation theory given, cf Eqs. (46-48)

Cited by in corpus (6)

• Inhomogeneous phases in the Nambu-Jona-Lasino and quark-meson model
• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• A Twisted Kink Crystal in the Chiral Gross-Neveu model
• Phase structure of the massive chiral Gross-Neveu model from Hartree-Fock
• Baryons in the large N limit of the massive two-dimensional Nambu-Jona-Lasinio model
• Divergence of the axial current and fermion density in Gross-Neveu models