1999/07/31 by Egor Babaev · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral symmetry #Fermion #Geometry #Gross–Neveu model #High-Energy Particle Collisions Research #Mathematics #Particle physics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Symmetry (geometry) #hep-th
paper · pdf · doi:10.1016/s0370-2693(00)01335-6
published as Phys.Lett.B497:323,2001 · a factor 2 corrected. An extended discussion of similarities and differences of low-N behavior of the chiral GN model and various models of superconductivity is currently in preparation and will be presented in additional article
arxiv created 2000/08/15 · openalex publication_date 2001/01/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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→ ∞. We show that for a small number N of fermions the model possesses two characteristic temperatures TKT and T^*. That is, at small N, along with a quasiordered phase 0<T<TKT the system possesses a very large region of precursor fluctuations TKT<T<T^* which disappear only at a temperature T^*, substantially higher than the temperature TKT of Kosterlitz-Thouless transition.