The YangMills gauge theory in DFR noncommutative spacetime
Abstract
The DoplicherFredenhagenRoberts (DFR) framework for noncommutative (NC) spacetimes is considered as an alternative approach to describe the physics of quantum gravity, for instance. In this formalism, the NC parameter, {\it i.e.} $\theta^{\mu\nu}$, is promoted to a coordinate of a new extended spacetime. Consequently, we have a field theory in a spacetime with spatial extradimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extradimension. In this paper we introduce the gauge invariance in the DFR NC spacetime. We present the nonAbelian gauge symmetry in DFR formalism, and the consequences of this symmetry in the presence of such extradimension. The gauge symmetry in this DFR scenario can reveal new fields attached to $\theta$extradimension. We obtain the propagation of these gauge fields in terms of canonical momentum associated with $\theta$coordinate.
 Publication:

arXiv eprints
 Pub Date:
 May 2015
 arXiv:
 arXiv:1506.00035
 Bibcode:
 2015arXiv150600035A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 26 pages