Renormalizability of a (2+1)-dimensional supersymmetric nonlinear. sigma. model in superspace

Journal Article · Wed Jan 15 04:00:00 EST 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.580· OSTI ID:5107665

Koures, V G; Mahanthappa, K T ^[1]

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

The superspace formulation of an O({ital N})-invariant supersymmetric nonlinear {sigma} model is presented. The renormalizability of this model, explicitly carried out up to next-to-leading order in 1/{ital N} using component fields in an earlier paper, is proven to all orders in the 1/{ital N} expansion by appealing to parity, time-reversal, and supersymmetry invariances. Furthermore, it is proven that the Lagrange multiplier superfield, which imposes the nonlinear constraint, does not get renormalized in any order in 1/{ital N}.

• OSTI ID: 5107665
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 45:2; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
DIAGRAMS
FEYNMAN DIAGRAM
FIELD THEORIES
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
NONLINEAR PROBLEMS
P INVARIANCE
PARTICLE MODELS
PERIPHERAL MODELS
PROPAGATOR
QUANTUM FIELD THEORY
RENORMALIZATION
SIGMA MODEL
SUPERSYMMETRY
SYMMETRY
T INVARIANCE
THREE-DIMENSIONAL CALCULATIONS