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(3,3*) direct-sum (3,3*) bilinear symmetry breaking in the linear sigma model

Journal Article · · Phys. Rev., D; (United States)
The sigma model with (3,3*) direct-sum (3*,3) bilinear symmetry breaking is studied with a view to find a suitable model smooth in symmetry-breaking parameters. The meson masses and decay constants are treated as functions of xi, the ratio of SU(3) -octet-to-singlet vacuum breaking, which is varied from -2.0 to +2.0. The symmetry-breaking Lagrangian is discussed under various approximations resulting in two-, three-, and four-parameter models. We find that one of the two-parameter models is at least as good as the linear model with a larger region of smoothness. The three- and four-parameter models are smooth in one of the solutions. In most of the three-parameter models with F/sub K//F/sub ..pi../ constrained to be between 1 and 1.3, it is predicted that the Lagrangian and vacuum are approximately SU(2) x SU(2) and SU(3) symmetric, respectively, a much discussed feature of the linear model.
Research Organization:
Department of Physics, Ramjas College, Delhi University Enclave, Delhi-110007, India
OSTI ID:
6670745
Journal Information:
Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:5; ISSN PRVDA
Country of Publication:
United States
Language:
English

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Related Subjects

645205* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions
Baryon No. = 0-- (-1987)
645303 -- High Energy Physics-- Particle Invariance Principles & Symmetries-- Applications to Strong Interactions-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COUPLING CONSTANTS
DECAY
ELEMENTARY PARTICLES
FUNCTIONS
GELL-MANN THEORY
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICAL MODELS
MESONS
PARTICLE MODELS
SCATTERING LENGTHS
SIGMA MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
VACUUM STATES