Renormalization of four-fermion theories in a mean-field expansion

Journal Article · Fri Dec 15 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.4551· OSTI ID:6506364

Tamvakis, K; Guralnik, G S

The generating functional of a (psi-barpsi)/sup 2/ four-fermion field theory in four dimensions is expressed in terms of collective boson variables and then expanded in a Laplace expansion. All divergences are absorbed in a renormalized Yukawa-type coupling and a renormalized fermion mass. The collective boson mass self-couplings are fixed to all orders in terms of the Yukawa coupling. The renormalized theory is formally equivalent to the Yukawa theory expanded the same way.

• Research Organization: Department of Physics, Brown University, Providence, Rhode Island 02912
• OSTI ID: 6506364
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
FUNCTIONALS
FUNCTIONS
GREEN FUNCTION
INTERACTIONS
LAGRANGIAN FUNCTION
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
RENORMALIZATION
SCALAR FIELDS
SIGMA MODEL
YUKAWA NONLOCAL THEORY