Competing mechanisms of chiral symmetry breaking in a generalized Gross-Neveu model

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.105027· OSTI ID:21409783

Boehmer, Christian; Thies, Michael ^[1]

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

Chiral symmetry of the 2-dimensional chiral Gross-Neveu model is broken explicitly by a bare mass term as well as a splitting of scalar and pseudoscalar coupling constants. The vacuum and light hadrons--mesons and baryons which become massless in the chiral limit--are explored analytically in leading order of the derivative expansion by means of a double sine-Gordon equation. Depending on the parameters, this model features new phenomena as compared to previously investigated 4-fermion models: spontaneous breaking of parity, a nontrivial chiral vacuum angle, twisted kinklike baryons whose baryon number reflects the vacuum angle, crystals with alternating baryons, and appearance of a false vacuum.

• OSTI ID: 21409783
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 10; Other Information: DOI: 10.1103/PhysRevD.81.105027; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON NUMBER
BARYONS
CHIRAL SYMMETRY
CHIRALITY
COUPLING CONSTANTS
EXPANSION
LAGRANGIAN FIELD THEORY
MASS
MESONS
PARITY
SIMULATION
SINE-GORDON EQUATION
SYMMETRY BREAKING
TWO-DIMENSIONAL CALCULATIONS
BOSONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
HADRONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
SYMMETRY