D=(2+1) O(N) Wess-Zumino model in a large N limit

Details D=(2+1) O(N) Wess-Zumino model in a large N limit D=(2+1) O(N) Wess-Zumino model in a large N limit

2011-10-14

arxiv.org/abs/1110.3332v1

Phys.Rev. D84 (2011) 107701

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure

Scientific paper

10.1103/PhysRevD.84.107701

Using the superfield formalism, the effective Kahlerian superpotential of the massless \cal{N}=1 O(N) Wess-Zumino model is computed in the limit of large N, in three spacetime dimensions. The effective Kahlerian superpotential is evaluated at the subleading order in the 1/N expansion, which involves diagrams up to two-loop order, for a small coupling constant. We show that the O(N) symmetry of the model is preserved in this approximation and that no mass is dynamically generated in the supersymmetric phase. We discuss why spontaneous O(N) symmetry breaking cannot be induced by radiative corrections in such model.

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