English

Comments on Noncommutative Perturbative Dynamics

High Energy Physics - Theory 2009-10-31 v2

Abstract

We analyze further the IR singularities that appear in noncommutative field theories on R^d. We argue that all IR singularities in nonplanar one loop diagrams may be interpreted as arising from the tree level exchanges of new light degrees of freedom, one coupling to each relevant operator. These exchanges are reminiscent of closed string exchanges in the double twist diagrams in open string theory. Some of these degrees of freedom are required to have propagators that are inverse linear or logarithmic. We suggest that these can be interpreted as free propagators in one or two extra dimensions respectively. We also calculate some of the IR singular terms appearing at two loops in noncommutative scalar field theories and find a complicated momentum dependence which is more difficult to interpret.

Keywords

Cite

@article{arxiv.hep-th/0002186,
  title  = {Comments on Noncommutative Perturbative Dynamics},
  author = {Mark Van Raamsdonk and Nathan Seiberg},
  journal= {arXiv preprint arXiv:hep-th/0002186},
  year   = {2009}
}

Comments

21 pages, 6 figures, harvmac; v2: a clarifying comment added