1994/06/17 by A. Barducci, R. Casalbuoni, R. Gatto +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Critical point (mathematics) #Fermion #Gross–Neveu model #High-Energy Particle Collisions Research #Massless particle #Mathematical physics #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Symmetry (geometry) #Theoretical physics #Tricritical point #hep-th
paper · pdf · doi:10.1103/physrevd.51.3042
published as Phys.Rev. D51 (1995) 3042-3060 · 34 pages (+18 figures, available upon request to [email protected]), LATEX file, uses art12a.sty, macro included, UGVA-DPT 1994/06-854
arxiv created 1994/06/17 · openalex publication_date 1995/03/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large N limit is discussed, paying attention to the no-go theorems for symmetry breaking in two dimensions which apply to the massless cases. The main purpose of the study is to serve as an analytical orientation for the more complex problem of the chiral transition in four-dimensional QCD with quarks. For any nonvanishing fermion mass, we find, at finite densities, lines of first-order phase transitions. For small mass values, traces of would-be second-order transitions and a tricritical point are recognizable. We study the thermodynamics of these models, and in the model with broken continuous chiral symmetry we examine the properties of the pionlike state.