Baryons in massive Gross-Neveu models

Journal Article · Sun May 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.105008· OSTI ID:20709310

Thies, Michael; Urlichs, Konrad ^[1]

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

Baryons in the large N limit of (1+1)-dimensional Gross-Neveu models with either discrete or continuous chiral symmetry have long been known. We generalize their construction to the case where the symmetry is explicitly broken by a bare mass term in the Lagrangian. In the discrete symmetry case, the exact solution is found for arbitrary bare fermion mass, using the Hartree-Fock approach. It is mathematically closely related to polarons and bipolarons in conducting polymers. In the continuous symmetry case, a derivative expansion allows us to rederive a formerly proposed Skyrme-type model and to compute systematically corrections to the leading order description based on an effective sine-Gordon theory.

• OSTI ID: 20709310
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 10; Other Information: DOI: 10.1103/PhysRevD.71.105008; (c) 2005 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
BARYONS
CHIRAL SYMMETRY
CORRECTIONS
EXACT SOLUTIONS
HARTREE-FOCK METHOD
LAGRANGIAN FUNCTION
MASS
ONE-DIMENSIONAL CALCULATIONS
POLARONS
POLYMERS
SINE-GORDON EQUATION
SKYRME POTENTIAL