A Consistent Noncommutative Field Theory: the Wess-Zumino Model
High Energy Physics - Theory
2009-10-31 v2
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.
Cite
@article{arxiv.hep-th/0005272,
title = {A Consistent Noncommutative Field Theory: the Wess-Zumino Model},
author = {H. O. Girotti and M. Gomes and V. O. Rivelles and A. J. da Silva},
journal= {arXiv preprint arXiv:hep-th/0005272},
year = {2009}
}
Comments
22 pages, 7 figures. Added references. Typos corrected