Tricritical behavior of the massive chiral Gross-Neveu model

Journal Article · Tue May 15 00:00:00 EDT 2007 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.75.105017· OSTI ID:20933303

Boehmer, Christian; Thies, Michael; Urlichs, Konrad ^[1]

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1. Institut fuer Theoretische Physik III, Universitaet Erlangen-Nuernberg, D-91058 Erlangen (Germany)

The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point. Using the derivative expansion, the grand canonical potential is cast into the form of a Ginzburg-Landau effective action. Minimization of this action by variational and numerical methods reveals both 1st and 2nd order phase transitions to a chiral crystal phase, separated by a tricritical line. These findings are contrasted to the massive Gross-Neveu model with discrete chiral symmetry where only 2nd order transitions have been observed.

• OSTI ID: 20933303
• Journal Information: Physical Review. D, Particles Fields, Vol. 75, Issue 10; Other Information: DOI: 10.1103/PhysRevD.75.105017; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ACTION INTEGRAL
CHIRAL SYMMETRY
CHIRALITY
GINZBURG-LANDAU THEORY
LAGRANGIAN FIELD THEORY
MINIMIZATION
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS