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Construction of non-Abelian gauge theories on noncommutative spaces

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arxiv hep-th/0104153 v4 pith:W6RT723B submitted 2001-04-18 hep-th

Construction of non-Abelian gauge theories on noncommutative spaces

Branislav Jurco , Lutz M\"oller , Stefan Schraml , Peter Schupp , Julius Wess This is my paper
classification hep-th
keywords gaugenoncommutativetheoriesconstructionnon-abelianparameterspacesaconstant
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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