Thermodynamics of the massive Gross-Neveu model
- Dipartimento di Fisica, Universita di Firenze, Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Firenze (Italy)
- Departement de Physique Theorique, Universite de Geneve, Geneve (Switzerland)
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 [ital 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.
- OSTI ID:
- 6547742
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 51:6; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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CHIRAL SYMMETRY
SYMMETRY BREAKING
QUANTUM CHROMODYNAMICS
THERMODYNAMICS
DENSITY
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
MASS
MASSLESS PARTICLES
PHASE TRANSFORMATIONS
QUARKS
TEMPERATURE DEPENDENCE
ELEMENTARY PARTICLES
FIELD THEORIES
PHYSICAL PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SYMMETRY
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