The Three-Dimensional Noncommutative Nonlinear Sigma Model in Superspace
H. O. Girotti, M. Gomes, A. Yu. Petrov, V. O. Rivelles, A. J. da, Silva
TL;DR
This paper investigates a noncommutative supersymmetric sigma-model in 2+1 dimensions, demonstrating its renormalizability to all orders and confirming its asymptotic freedom through superspace formulation.
Contribution
It provides a proof of all-order renormalizability and confirms asymptotic freedom for the noncommutative nonlinear supersymmetric sigma-model in superspace.
Findings
Model is renormalizable to all orders in 1/N
Model exhibits asymptotic freedom
Superspace formulation facilitates analysis
Abstract
We study the superspace formulation of the noncommutative nonlinear supersymmetric O(N) invariant sigma-model in 2+1 dimensions. We prove that the model is renormalizable to all orders of 1/N and explicitly verify that the model is asymptotically free.
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