Dynamically broken gauge model without fundamental scalar fields
It is shown that the structure that must be generated by dynamical symmetry breaking solutions to gauge theories can be explicitly implemented with a 4-fermion interaction. This structure arises in order to obtain consistency with the constraints imposed by a Goldstone commutator proportional to (anti psi psi). One demonstrates these ideas within the context of axial electrodynamics, dynamically breaking chiral symmetry. As a pre-requisite it is shown how the Nambu-Jona-Lasinio model becomes renormalizable with respect to a systematic approximation scheme that respects the Goldstone commutator of dynamically broken chiral symmetry to each order of approximation. (This approximation scheme is equivalent to a l/N expansion, where N is set to unity at the end of the calculations). This solution generates new interactions not explicitly present in the original Lagrangian and does not have a 4-fermion contact interaction. The renormalized Green's functions are shown to correspond to those of the sigma-model, summed as though the fermions had N components, and for which lambda/sub 0/ = 2g/sub 0//sup 2/. This correspondence is exact except for the possibility that the renormalized coupling of the Nambu-Jona-Lasinio model may be a determined number.
- Research Organization:
- Brown Univ., Providence, RI (USA). Dept. of Physics
- DOE Contract Number:
- EY-76-C-02-3130.A001
- OSTI ID:
- 7259084
- Report Number(s):
- COO-3130TA-335; CONF-7606132-1; TRN: 77-011589
- Resource Relation:
- Conference: Symposium on quark binding, Rochester, NY, USA, 14 Jun 1976
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
ELECTRODYNAMICS
GAUGE INVARIANCE
YANG-MILLS THEORY
CHIRAL SYMMETRY
COUPLING
FERMI INTERACTIONS
GOLDSTONE DIAGRAMS
GREEN FUNCTION
INTERACTIONS
LAGRANGIAN FUNCTION
RENORMALIZATION
SIGMA MODEL
SYMMETRY BREAKING
BASIC INTERACTIONS
DIAGRAMS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
SYMMETRY
WEAK INTERACTIONS
645400* - High Energy Physics- Field Theory