UV/IR mixing for noncommutative complex scalar field theory interacting with gauge fields
Abstract
We consider noncommutative analogs of scalar electrodynamics and N = 2 D = 4 SUSY YangMills theory. We show that oneloop renormalizability of noncommutative scalar electrodynamics requires the scalar potential to be an anticommutator squared. This form of the scalar potential differs from the one expected from the point of view of noncommutative gauge theories with extended SUSY containing a square of commutator. We show that fermion contributions restore the commutator in the scalar potential. This provides oneloop renormalizability of noncommutative N = 2 SUSY gauge theory. We demonstrate a presence of nonintegrable IR singularities in noncommutative scalar electrodynamics for general coupling constants. We find that for a special ratio of coupling constants these IR singularities vanish. Also we show that IR poles are absent in noncommutative N = 2 SUSY gauge theory.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 2001
 DOI:
 10.1016/S09205632(01)015316
 arXiv:
 arXiv:hepth/0003176
 Bibcode:
 2001NuPhS.102...11A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 9 pages, 16 EPS figures