English

One-loop four-point function in noncommutative {\cal N}=4 Yang-Mills theory

High Energy Physics - Theory 2009-10-31 v1

Abstract

We compute the one-loop four-point function in {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). We perform the calculation in {\cal N}=1 superspace using the background field method and obtain the complete off-shell contributions to the effective action from planar and non planar supergraphs. In the low-energy approximation the result simplifies and we can study its properties under gauge transformations. It appears that the nonplanar contributions do not maintain the gauge invariance of the classical action.

Keywords

Cite

@article{arxiv.hep-th/0010275,
  title  = {One-loop four-point function in noncommutative {\cal N}=4 Yang-Mills theory},
  author = {Alberto Santambrogio and Daniela Zanon},
  journal= {arXiv preprint arXiv:hep-th/0010275},
  year   = {2009}
}

Comments

LaTex, 14 pages, 2 figures