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arXiv · 0905.0608

Gauge field theories with covariant star-product

M. Chaichian·A. Tureanu·G. Zet
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Abstract

A noncommutative gauge theory is developed using a covariant star-product between differential forms defined on a symplectic manifold, considered as the space-time. It is proven that the field strength two-form is gauge covariant and satisfies a deformed Bianchi identity. The noncommutative Yang-Mills action is defined using a gauge covariant metric on the space-time and its gauge invariance is proven up to the second order in the noncommutativity parameter.

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M. Chaichian, A. Tureanu, G. Zet. 2009-05-05. Gauge field theories with covariant star-product. https://doi.org/10.1088/1126-6708/2009/07/084

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