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arXiv · hep-th/0005272

A Consistent Noncommutative Field Theory: the Wess-Zumino Model

H. O. Girotti·M. Gomes·V. O. Rivelles·A. J. da Silva
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Abstract

We show that the noncommutative Wess-Zumino model is renormalizable to all orders of perturbation theory. The noncommutative scalar potential by itself is non-renormalizable but the Yukawa terms demanded by supersymmetry improve the situation turning the theory into a renormalizable one. As in the commutative case, there are neither quadratic nor linear divergences. Hence, the IR/UV mixing does not give rise to quadratic infrared poles.

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H. O. Girotti, M. Gomes, V. O. Rivelles, A. J. da Silva. 2000-06-12. A Consistent Noncommutative Field Theory: the Wess-Zumino Model. https://doi.org/10.1016/s0550-3213(00)00483-1

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