Twisted Yang-Mills field theory: connections and Noether current
Mathematical Physics
2014-06-12 v1 math.MP
Abstract
Main properties of noncommutative (NC) gauge theory are investigated in a dimensional twisted Moyal plane, generated by vector fields the dynamical effects are induced by a non trivial tensor . Connections in such a NC space are defined. Symmetry analysis is performed and related NC action is proved to be invariant under defined NC gauge transformations. A locally conserved Noether current is explicitly computed. Both commuting and noncommutative vector fields are considered.
Cite
@article{arxiv.1203.1594,
title = {Twisted Yang-Mills field theory: connections and Noether current},
author = {Mahouton Norbert Hounkonnou and Dine Ousmane Samary},
journal= {arXiv preprint arXiv:1203.1594},
year = {2014}
}