English

Construction of non-Abelian gauge theories on noncommutative spaces

High Energy Physics - Theory 2011-09-13 v4

Abstract

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter, the noncommutative gauge potential and fields in the fundamental representation, in powers of a parameter of the noncommutativity. This allows the explicit construction of actions for these gauge theories.

Keywords

Cite

@article{arxiv.hep-th/0104153,
  title  = {Construction of non-Abelian gauge theories on noncommutative spaces},
  author = {Branislav Jurco and Lutz Möller and Stefan Schraml and Peter Schupp and Julius Wess},
  journal= {arXiv preprint arXiv:hep-th/0104153},
  year   = {2011}
}

Comments

11 pages; accepted for publication in European Physical Journal C; one misprint corrected