English

Path Integral Quantization of Noncommutative Complex Scalar Field

High Energy Physics - Theory 2011-09-23 v1

Abstract

Using noncommutative deformed canonical commutation relations, a model describing a noncommutative complex scalar field theory is considered. Using the path integral formalism, the noncommutative free and exact propagators are calculated to one-loop order and to the second order in the parameter of noncommutativity. Dimensional regularization was used to remove ultraviolet divergences that arise from loop graphs. It has been shown that these divergences may also be absorbed into a redefinition of the parameters of the theory.

Keywords

Cite

@article{arxiv.1109.4741,
  title  = {Path Integral Quantization of Noncommutative Complex Scalar Field},
  author = {Farid Khelili},
  journal= {arXiv preprint arXiv:1109.4741},
  year   = {2011}
}

Comments

Revtex style, 31 pages

R2 v1 2026-06-21T19:08:39.802Z