Finite Temperature Behavior of a Relativistic Field Theory with Dynamical Symmetry Breaking
Aug, 1974
37 pages
Published in:
- Phys.Rev.D 11 (1975) 1499
Report number:
- Print-74-1351 (UC,SAN DIEGO)
Citations per year
Abstract: (APS)
Recently, Gross and Neveu have studied a two-dimensional field theory of an N-component fermion in the large-N limit. This theory is asymptotically free and has dynamical spontaneous symmetry breaking. In this paper we study certain finite-temperature properties of this theory, especially those related to the survival of the "condensate," or symmetry breaking. Within the mean-field approximation, we find that the symmetry breaking disappears at a finite temperature T0, which is of the same order of magnitude as the physical mass of a fermion. However, the mean-field approximation is not good for any finite N. At any nonzero temperature, however small, the system prefers to be in space-dependent field configurations such that the condensate vanishes. The critical temperature is thus zero.- FIELD THEORY
- SYMMETRY: BROKEN
- TEMPERATURE
- FERMION: MASS
- MASS: FERMION
- MECHANICS: STATISTICS
- POTENTIAL
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