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The Three-Dimensional Noncommutative Nonlinear Sigma Model in Superspace

Girotti, Horacio Oscar, Gomes, Marcelo, Petrov, Albert Yu., Rivelles, Victor O., Silva, Adilson J. da

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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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What this paper is about

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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Available 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.

Key concepts: Superspace, Noncommutative geometry, Sigma model, Mathematical physics, Sigma, Invariant (physics), Nonlinear system, Mathematics

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