Dynamical symmetry breaking, gauge fields, and stability in four-Fermi, non-abelian interactions

Thesis/Dissertation · Sat Jan 01 00:00:00 EST 1983

OSTI ID:7185860

Portney, M N

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
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
UNIFIED GAUGE MODELS
SYMMETRY BREAKING
ANALYTICAL SOLUTION
COMPOSITE MODELS
GOLDSTONE BOSONS
MASS
SCALAR FIELDS
STABILITY
SU GROUPS
VECTOR FIELDS
BOSONS
ELEMENTARY PARTICLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory