English

Noncommutative $\Phi^4$ Theory at Two Loops

High Energy Physics - Theory 2009-10-31 v3

Abstract

We study perturbative aspects of noncommutative field theories. This work is arranged in two parts. First, we review noncommutative field theories in general and discuss both canonical and path integral quantization methods. In the second part, we consider the particular example of noncommutative Φ4\Phi^4 theory in four dimensions and work out the corresponding effective action and discuss renormalizability of the theory, up to two loops.

Keywords

Cite

@article{arxiv.hep-th/0008057,
  title  = {Noncommutative $\Phi^4$ Theory at Two Loops},
  author = {A. Micu and M. M. Sheikh-Jabbari},
  journal= {arXiv preprint arXiv:hep-th/0008057},
  year   = {2009}
}

Comments

Latex, several ps figures, v3: 51 pages, presentation of introduction and conclusion improved, references added