Mean field theory of the linear sigma-model: Chiral solitons

Journal Article · Mon Feb 20 04:00:00 EST 1984 · AIP Conf. Proc.; (United States)

DOI:https://doi.org/10.1063/1.34366· OSTI ID:5958743

Kahana, S; Ripka, G

The mean field theory of the chiral invariant sigma-model is outlined. Bound states (solitons) of valence quarks are obtained self-consistently using a hedgehog shape for the pion field. A schematic model for the coupled fermion-boson fields is presented. Renormalization is worked out for the fermion one-loop corrections and numerical results presented for the purely scalar-field case. The interpretation of the baryon number of the perturbed vacuum is considered.

• Research Organization: Brookhaven National Laboratory, Upton, New York 11973
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5958743
• Journal Information: AIP Conf. Proc.; (United States), Journal Name: AIP Conf. Proc.; (United States) Vol. 110:1; ISSN APCPC
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON NUMBER
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
FUNCTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
MEAN-FIELD THEORY
PARTICLE MODELS
QUARK MODEL
QUASI PARTICLES
RENORMALIZATION
SIGMA MODEL
SOLITONS
SYMMETRY