A Consistent Noncommutative Field Theory: the Wess-Zumino Model

Details A Consistent Noncommutative Field Theory: the Wess-Zumino Model A Consistent Noncommutative Field Theory: the Wess-Zumino Model

2000-05-29

arxiv.org/abs/hep-th/0005272v2

Nucl.Phys. B587 (2000) 299-310

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 7 figures. Added references. Typos corrected

Scientific paper

10.1016/S0550-3213(00)00483-1

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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