Dynamical symmetry breaking, gauge fields, and stability in four-Fermi, non-abelian interactions
The Nambu model of dynamical breaking of global symmetry is extended to the case of non-abelian SU(N) models. The possible patterns of symmetry breaking are investigated, and the masses of the composite spinless particles are found. Corresponding to each broken generator, this composite is the massless Goldstone boson. When the global symmetries are made local by the addition of gauge fields, the composite pseudoscalar Goldstone bosons disappear and the axial gauge fields become massive. This is analogous to the Higgs mechanism, but without the introduction of fundamental scalar fields. The composite scalar Goldstone bosons remain in the theory, and the vector gauge fields are still massless. This is in agreement with the charge conjugation argument. The stability of the possible solutions is discussed using several criteria. It is concluded that in theories with zero bare mass, if a nontrivial solution exists, the completely symmetric massive solution is realized. If the bare mass is symmetric and non-zero, asymmetric solutions may be found, with corresponding scalar Goldstone composites. These violate the persistent mass condition of Preskill and Weinberg.
- Research Organization:
- Arizona State Univ., Tempe (USA)
- OSTI ID:
- 7185860
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
GOLDSTONE BOSONS
LIE GROUPS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
SCALAR FIELDS
STABILITY
SU GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
UNIFIED GAUGE MODELS
VECTOR FIELDS