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Four-fermion theory is renormalizable in 2+1 dimensions

Journal Article · · Phys. Rev. Lett.; (United States)
; ;
The four-fermion interaction in 2+1 dimensions is nonrenormalizable in weak coupling perturbation theory. We show that this model is in fact renormalizable order by order in the 1/N/sub f/ expansion, and we find this theory a finite ultraviolet fixed point.
Research Organization:
Theory Group, Department of Physics, University of Texas, Austin, Texas 78712
OSTI ID:
6188161
Journal Information:
Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 62:13; ISSN PRLTA
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
DIAGRAMS
FERMIONS
FEYNMAN DIAGRAM
FIELD THEORIES
LAGRANGIAN FIELD THEORY
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE MODELS
QUANTUM FIELD THEORY
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS
ULTRAVIOLET DIVERGENCES
UNIFIED GAUGE MODELS
UNIFIED-FIELD THEORIES
WEINBERG-SALAM GAUGE MODEL