*-TREK: The One-Loop N=4 Noncommutative SYM Action
摘要
We investigate N=4 noncommutative super Yang-Mills (SYM) theory. We compute the one-loop four gauge boson scattering amplitude on parallel Dp-branes, and find the corresponding contribution to the noncommutative SYM one-loop action in a momentum expansion. The result is somewhat surprising. We find that while the planar diagram can be written using the usual *-product, the contributions from nonplanar diagrams in general involve additional structure beyond the *-product, arising from the nontrivial worldsheet correlations surviving the field theory limit. To each nonplanar diagram, depending on the number n of external vertex operator insertions on each boundary, there is a corresponding *_n n-ary operation. We further find that it is no longer possible to write down an off-shell gauge invariant one-loop effective action using the noncommutative field strength defined at tree-level.
关键词
引用
@article{arxiv.hep-th/0008205,
title = {*-TREK: The One-Loop N=4 Noncommutative SYM Action},
author = {Hong Liu and Jeremy Michelson},
journal= {arXiv preprint arXiv:hep-th/0008205},
year = {2009}
}
备注
30 pages AMSLaTeX using JHEP.cls (22 pages if REVTeX4), 2 eps figures. dnmacs is optional. v2: minor typos corrected. Appendix on bosonic annular propogator added