Pions as collective modes in the glueball condensate vacuum

Journal Article · Wed Jul 01 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.221· OSTI ID:5945302

Hansson, T H; Zahed, I

The glueball condensate vacuum model is extended to incorporate the effects of light quarks. The resulting model exhibits spontaneous breaking of chiral SU(2)/sub f/ symmetry, and has a new kind of collective excitations, pions, which are distinct from the usual bag-model-type states. The dynamics of the pions are described by a sigma model, and the parameters and f/sub ..pi../ are calculated in terms of the radius R of the vacuum cells. The pion mass is related to and m/sub q/ via the usual partial conservation of axial-vector current relation. The model is extended to broken SU(3)/sub f/ using lowest-order chiral perturbation theory, and a mass formula for the eta' meson is obtained by including effects of the axial anomaly.

• Research Organization: Physics Department, State University of New York at Stony Brook, Stony Brook, New York, 11794
• OSTI ID: 5945302
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 36:1; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOSONS
CHIRAL SYMMETRY
COLLECTIVE MODEL
COMPOSITE MODELS
ELEMENTARY PARTICLES
ETA MESONS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GLUEBALLS
HADRONS
LAGRANGIAN FUNCTION
LIE GROUPS
MASS FORMULAE
MATHEMATICAL MODELS
MESONS
NUCLEAR MODELS
PARTICLE MODELS
PCAC THEORY
PERTURBATION THEORY
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
SCALAR FIELDS
SEMICLASSICAL APPROXIMATION
SIGMA MODEL
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
VACUUM STATES