Construction of non-Abelian gauge theories on noncommutative spaces

Details Construction of non-Abelian gauge theories on noncommutative spaces Construction of non-Abelian gauge theories on noncommutative spaces

2001-04-18

arxiv.org/abs/hep-th/0104153v4

Eur.Phys.J.C21:383-388,2001

Physics

High Energy Physics

High Energy Physics - Theory

11 pages; accepted for publication in European Physical Journal C; one misprint corrected

Scientific paper

10.1007/s100520100731

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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