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

Bang-Rong Zhou
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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 $Λ$ is large enough, the equation of critical chemical potential $μ_c$ and critical temperature $T_c$ will be $Λ$-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.

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Bang-Rong Zhou. 1998-11-11. Discrete symmetry breaking and restoration at finite temperature in 3D Gross-Neveu model. https://doi.org/10.1016/s0370-2693(98)01405-1

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