Gauge field theories with covariant star-product
arXiv:0905.0608 · doi:10.1088/1126-6708/2009/07/084
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.
arXiv commentDedicated to Ioan Gottlieb on the occasion of his 80th birthday anniversary. 12 pages
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