A Consistent Noncommutative Field Theory: the Wess-Zumino Model

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.

22 pages, 7 figures. Added references. Typos corrected

References in corpus (1)

• String Theory and Noncommutative Geometry

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