Regularization in the gauged Nambu--Jona-Lasinio model

Journal Article · Tue Nov 01 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.5985· OSTI ID:7006658

Gherghetta, T ^[1]

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1. 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), Vol. 50:9; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
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QUANTUM ELECTRODYNAMICS
FERMI INTERACTIONS
GAUGE INVARIANCE
TOP PARTICLES
CONDENSATES
DISPERSION RELATIONS
QUARKS
STANDARD MODEL
ULTRAVIOLET DIVERGENCES
BASIC INTERACTIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM FIELD THEORY
UNIFIED GAUGE MODELS
WEAK INTERACTIONS
662210* - Specific Theories & Interaction Models
Particle Systematics- Unified Theories & Models- (1992-)
662130 - General Theory of Particles & Fields- S-Matrix Theory
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