Discrete symmetry breaking and restoration at finite temperature in 3D Gross-Neveu model

Abstract

Dynamical spontaneous breaking of some discrete symmetries including special parities and time reversal and their restoration at finite temperature T are researched in 3D Gross-Neveu model by means of Schwinger-Dyson equation in the real-time thermal field theory in the fermion bubble diagram approximation. When the momentum cut-off $\Lambda$ is large enough, the equation of critical chemical potential ${\mu }_c$ and critical temperature $T_c$ will be $\Lambda$-independent and identical to the one obtained by auxialiary scalar field approach. The dynamical fermion mass m, as the order parameter of symmetry breaking, has the same $(T_c-T{)}^{1/2}$ behavior as one in 4D NJL-model when T is less than and near $T_c$ and this shows the second-order phase transition feature of the symmetry restoration at $T>T_c$. It is also proven that no scalar bound state could exist in this model.

8 pages, Latex, no figure, Phys. Lett. B., to be published

References in corpus (1)

• Anomaly Inflow on Orientifold Planes

Cited by in corpus (3)

• Finite size effects in the Gross-Neveu model with isospin chemical potential
• Quark-Antiquark and Diquark Condensates in Vacuum in a 2D Two-Flavor Gross-Neveu Model
• Quark-Antiquark and Diquark Condensates in Vacuum in a 3D Two-Flavor Gross-Neveu Model