PIONS AS COLLECTIVE MODES IN THE GLUEBALL CONDENSATE VACUUM
Jun, 198531 pages
Published in:
- Phys.Rev.D 36 (1987) 221
Report number:
- PRINT-85-0489 (STONY-BROOK)
Citations per year
Abstract: (APS)
The glueball condensate vacuum model is extended to incorporate the effects of light quarks. The resulting model exhibits spontaneous breaking of chiral SU(2)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 σ model, and the parameters 〈q¯q〉 and fπ are calculated in terms of the radius R of the vacuum cells. The pion mass is related to 〈q¯q〉 and mq via the usual partial conservation of axial-vector current relation. The model is extended to broken SU(3)f using lowest-order chiral perturbation theory, and a mass formula for the η’ meson is obtained by including effects of the axial anomaly.- MODEL: BAG
- FIELD THEORY: VACUUM STATE
- GLUEBALL: CONDENSATION
- QUARK: CONDENSATION
- SYMMETRY: SU(2)
- SPONTANEOUS SYMMETRY BREAKING
- SYMMETRY: CHIRAL
- PI: MASS
- MASS: PI
- FIELD THEORETICAL MODEL: SIGMA
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