English

UV divergence-free QFT on noncommutative plane

High Energy Physics - Theory 2009-11-10 v2

Abstract

We formulate Noncommutative Qauntum Field Theory in terms of fields defined as mean value over coherent states of the noncommutative plane. No *-product is needed in this formulation and noncommutativity is carried by a modified Fourier transform of fields. As a result the theory is UV finite and the cutoff is provided by the noncommutative parameter theta.

Keywords

Cite

@article{arxiv.hep-th/0308193,
  title  = {UV divergence-free QFT on noncommutative plane},
  author = {Anais Smailagic and Euro Spallucci},
  journal= {arXiv preprint arXiv:hep-th/0308193},
  year   = {2009}
}

Comments

6 pages, Latex, no figures. Accepted for publication in J.Phys.A. New references added

R2 v1 2026-07-22T15:18:51.093Z