Real-Time Thermal Field Theory Analyses of 2D Gross-Neveu Model |
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Authors: | ZHOU BangRong |
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Affiliation: | 1. Department of Physics, The Graduate School at Beijing, University of Science and Technology of China, Academia Sinica, Beijing 100039, China ;2. CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China |
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Abstract: | ![]() The discrete symmetry breaking and possible restoration at finite temperature T are analyzed in 20 Gross-Neveu model by the real-time thermal field theory in the fermion bubble approximation. The dynamical fermion mass m is proven to, be scale-independent and this fact indicates the equivalence between the fermion bubble diagram approximation and the meanfield approximation used in the auxiliary scalar field approach. Reproducing of the nonzero critical temperature Tc = 0.567m(O), m(0) is the dynamical fermion mass at T = 0, shows the equivalence between the real-time and the imaginary-time thermal. field theories in this problem. However, in the real-time formalism, more results including absence of scalar bound state, the equation of criticality curve of chemical potential-temperature and the ln(Tc/T) behavior of m2 at T ≤ Tc can be easily obtained. The last one indicates the second-order phase transition feature of the symmetry restoration. |
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Keywords: | 2D Gross-Neveu model spontaneous discrete symmetry breaking realtime thermal field theory fermion bubble diagram approximation |
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