Regularization in the gauged Nambu--Jona-Lasinio model
Journal Article
·
· Physical Review, D (Particles Fields); (United States)
- Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637 (United States)
Various prescriptions employed for regulating gauged Nambu--Jona-Lasinio--type models such as the top-quark condensate model are discussed. The use of dimensional regularization maintains gauge invariance but destroys the quadratic divergence in the gap equation. If instead a simple ultraviolet momentum cutoff is used to regulate loop integrals, then gauge invariance is destroyed by a quadratically divergent term as well as by ambiguities associated with arbitrary routing of loop momenta. Finally it is shown that one can use dispersion relations to regulate the top-quark condensate model. This prescription maintains gauge invariance and does not depend on arbitrary shifts in loop momenta.
- OSTI ID:
- 7006658
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 50:9; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
662130 -- General Theory of Particles & Fields-- S-Matrix Theory
Relativistic Scattering Theory-- (1992-)
662210* -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CONDENSATES
DISPERSION RELATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMI INTERACTIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARKS
STANDARD MODEL
TOP PARTICLES
ULTRAVIOLET DIVERGENCES
UNIFIED GAUGE MODELS
WEAK INTERACTIONS
Relativistic Scattering Theory-- (1992-)
662210* -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
CONDENSATES
DISPERSION RELATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMI INTERACTIONS
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARKS
STANDARD MODEL
TOP PARTICLES
ULTRAVIOLET DIVERGENCES
UNIFIED GAUGE MODELS
WEAK INTERACTIONS