English

Perturbative ultraviolet and infrared dynamics of noncommutative quantum field theory

High Energy Physics - Theory 2007-05-23 v2

Abstract

Perturbative aspects of ultraviolet and infrared dynamics of noncommutative quantum field theory is examined in detail. It is observed that high loop momentum contribution to the nonplanar diagram develops a new infrared singularity with respect to the external momentum. This singular behavior is closely related to that of ultraviolet divergence of planar diagram. It is also shown that such a relation is precise in noncommutative Yang-Mills theory, but the same feature does not persist in noncommutative generalization of QED.

Keywords

Cite

@article{arxiv.hep-th/0009098,
  title  = {Perturbative ultraviolet and infrared dynamics of noncommutative quantum field theory},
  author = {M. Hayakawa},
  journal= {arXiv preprint arXiv:hep-th/0009098},
  year   = {2007}
}

Comments

13 pages, 2 figures, Talk given at XXXth International Conference on High Energy Physics (ICHEP2000), July 27-August 2, Osaka, Japan, Comments and references added