Renormalization of a (2+1)-dimensional supersymmetric nonlinear. sigma. model in 1/ N expansion
- 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), Vol. 43:10; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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