Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions

Details Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions Mass generation without phase coherence in the Chiral Gross-Neveu Model at finite temperature and small N in 2+1 dimensions

1999-07-13

arxiv.org/abs/hep-th/9907089v5

Phys.Lett. B497 (2001) 323

Physics

High Energy Physics

High Energy Physics - Theory

a factor 2 corrected. An extended discussion of similarities and differences of low-N behavior of the chiral GN model and vari

Scientific paper

10.1016/S0370-2693(00)01335-6

The chiral Gross-Neveu model is one of the most popular toy models for QCD. In the past, it has been studied in detail in the large-N limit. In this paper we study its small-N behavior at finite temperature in 2+1 dimensions. We show that at small N the phase diagram of this model is {\it principally} different from its behavior at $N\to \infty$. We show that for a small number $N$ of fermions the model possesses two characteristic temperatures $T_{KT}$ and $T^*$. That is, at small N, along with a quasiordered phase $0

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