Scientific article
Open access

Thermodynamics of the massive Gross-Neveu model

Published inPhysical review. D, Particles and fields., vol. 51, no. 6, p. 3042-3060
Publication date1995-03-15
First online date1995-03-15

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 bearing 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 analytical orientation for the more complex problem of chiral transition in $4-$dimensional QCD with quarks. For any non-vanishing 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 pion like state.

  • Gross-Neveu model
  • Dimension: 2
  • Finite temperature
  • Potential: chemical
  • Critical phenomena
  • Effective potential
  • Renormalization group
  • Thermodynamics
  • Numerical calculations
  • Expansion 1/N
Citation (ISO format)
BARDUCCI, A. et al. Thermodynamics of the massive Gross-Neveu model. In: Physical review. D, Particles and fields., 1995, vol. 51, n° 6, p. 3042–3060. doi: 10.1103/PhysRevD.51.3042
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Article (Published version)
ISSN of the journal0556-2821

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