English

On the noncommutative fields method in the three-dimensional Yang-Mills theory

High Energy Physics - Theory 2008-05-09 v2

Abstract

We apply the noncommutative fields method to the three-dimensional non-Abelian gauge theory. We find that, first, implementing the noncommutativity between the canonical momenta implies in generation of the non-Abelian Chern-Simons term, second, if one introduces the noncommutativity between the field operators, the higher derivative terms would arise.

Keywords

Cite

@article{arxiv.0805.0767,
  title  = {On the noncommutative fields method in the three-dimensional Yang-Mills theory},
  author = {J. R. Nascimento and A. Yu. Petrov and E. O. Silva},
  journal= {arXiv preprint arXiv:0805.0767},
  year   = {2008}
}

Comments

7 pages, references added

R2 v1 2026-06-21T10:37:51.470Z