A unified description of a symmetrized and anti-symmetrized Moyal star product of the non-commutative infinitesimal gauge transformations is presented and the corresponding Seiberg-Witten maps are derived. Moreover, the noncommutative covariant derivative, field strenght tensor as well as gauge transformations are shown to be consistently constructed not on the enveloping but on the Lie and/or Poisson algebra. As an application, a pure geometric extension of the standard model is shown explicitly.
Comments: 20 pages, Published in EJTP No22 (2009)5-28
[v1] 12 Mar 2010
Unique-IP document downloads: 113 times
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.