Gauge Theory of the Star Product

Details Gauge Theory of the Star Product Gauge Theory of the Star Product

2007-05-13

arxiv.org/abs/0705.1785v2

Nucl.Phys.B791:284-297,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1016/j.nuclphysb.2007.09.012

The choice of a star product realization for noncommutative field theory can be regarded as a gauge choice in the space of all equivalent star products. With the goal of having a gauge invariant treatment, we develop tools, such as integration measures and covariant derivatives on this space. The covariant derivative can be expressed in terms of connections in the usual way giving rise to new degrees of freedom for noncommutative theories.

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