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Construction of non-Abelian gauge theories on noncommutative spaces

Branislav Jurco·Lutz Möller·Stefan Schraml·Peter Schupp·Julius Wess
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Abstract

We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with aconstant Poisson tensor) from a consistency relation. This results in an expansion of the gauge parameter, the noncommutative gauge potential and fields in the fundamental representation, in powers of a parameter of the noncommutativity. This allows the explicit construction of actions for these gauge theories.

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Branislav Jurco, Lutz Möller, Stefan Schraml, Peter Schupp, Julius Wess. 2001-08-03. Construction of non-Abelian gauge theories on noncommutative spaces. https://doi.org/10.1007/s100520100731

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