Renormalization of a (2+1)-dimensional supersymmetric nonlinear. sigma. model in 1/ N expansion

Journal Article · Wed May 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3428· OSTI ID:5677442

Koures, V G; Mahanthappa, K T ^[1]

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1. Department of Physics CB-390, University of Colorado, Boulder, Colorado 80309 (US)

We explicitly carry out the renormalization of the O({ital N})-invariant supersymmetric nonlinear {sigma} model up to next-to-leading order in 1/{ital N} and show that the wave-function renormalization removes all divergences. Cancellations between fermion and boson loops prevent counterterms from being induced which would otherwise spoil the nonlinear constraint. This aspect leads to the renormalization of the model by the conventional Bogoliubov-Parasiuk-Hepp-Zimmermann scheme in contrast with the ordinary nonlinear {sigma} model. Supersymmetry constrains the anomalous dimensions of the Lagrange multiplier fields to be exactly zero, enabling one to prove renormalizability to all orders in 1/{ital N}. Furthermore, the {beta} function for this model vanishes.

• DOE Contract Number: AC02-86ER40253
• OSTI ID: 5677442
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FERMIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
INFRARED DIVERGENCES
MATHEMATICAL MODELS
NUCLEAR MODELS
PARTICLE MODELS
PERTURBATION THEORY
PHYSICAL PROPERTIES
PROPAGATOR
QUANTUM FIELD THEORY
RENORMALIZATION
SIGMA MODEL
SPACE-TIME
SUPERCONDUCTIVITY
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
WEAK-COUPLING MODEL