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arXiv · 1506.00035

The Yang-Mills gauge theory in DFR noncommutative space-time

Everton M. C. Abreu·M. J. Neves
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Abstract

The Doplicher-Fredenhagen-Roberts (DFR) framework for noncommutative (NC) space-times 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 space-time. Consequently, we have a field theory in a space-time with spatial extra-dimensions. This new coordinate has a canonical momentum associated, where the effects of a new physics can emerge in the fields propagation along the extra-dimension. In this paper we introduce the gauge invariance in the DFR NC space-time. We present the non-Abelian gauge symmetry in DFR formalism, and the consequences of this symmetry in the presence of such extra-dimension. The gauge symmetry in this DFR scenario can reveal new fields attached to $\theta$-extra-dimension. We obtain the propagation of these gauge fields in terms of canonical momentum associated with $\theta$-coordinate.

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Everton M. C. Abreu, M. J. Neves. 2015-05-29. The Yang-Mills gauge theory in DFR noncommutative space-time. https://arxiv.org/abs/1506.00035

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