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

Conference · Sat Jan 01 04:00:00 EST 1983

OSTI ID:5499276

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 Lab., Upton, NY (USA); CEA Centre d'Etudes Nucleaires de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 5499276
• Report Number(s): BNL-33824; CONF-831065-1; ON: DE84002864
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BARYON NUMBER
BOUND STATE
CHIRAL SYMMETRY
CORRELATIONS
ELEMENTARY PARTICLES
FIELD THEORIES
HAMILTONIANS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM OPERATORS
QUARKS
QUASI PARTICLES
RENORMALIZATION
SIGMA MODEL
SOLITONS
SYMMETRY
VACUUM STATES