Thermodynamics of (2+1)-dimensional four-fermion models

Journal Article · Mon May 15 00:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.3088· OSTI ID:6139662

Rosenstein, B; Warr, B J; Park, S H

The thermodynamics of the (2+1)-dimensional Gross-Neveu model is analyzed. The model is not renormalizable in the weak-coupling expansion but becomes renormalizable in the 1//ital N//sub /ital f// expansion. We calculate the critical temperature and find the phase structure. The critical exponents ..cap alpha.., ..cap alpha..', ..beta.., ..gamma.., ..gamma..', delta, /eta/, ..nu.., and ..nu..' are calculated to leading order in 1//ital N//sub /ital f//, and do not satisfy the ''scaling relations.''

• Research Organization: Theory Group, Department of Physics, University of Texas, Austin, Texas 78712(US); Center for Relativity, Department of Physics, University of Texas, Austin, Texas 78712
• OSTI ID: 6139662
• Journal Information: Phys. Rev. D; (United States), Vol. 39:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FERMIONS
FOUR-BODY PROBLEM
QUANTUM FIELD THEORY
THERMODYNAMIC PROPERTIES
BOUND STATE
CHIRAL SYMMETRY
CRITICAL TEMPERATURE
ISING MODEL
LAGRANGIAN FUNCTION
QUANTUM CHROMODYNAMICS
RENORMALIZATION
SCALING LAWS
SYMMETRY BREAKING
WEAK-COUPLING MODEL
CRYSTAL MODELS
FIELD THEORIES
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
NUCLEAR MODELS
PHYSICAL PROPERTIES
SYMMETRY
TRANSITION TEMPERATURE
645400* - High Energy Physics- Field Theory