Abstract.
We present a formalism to explicitly construct non-Abelian gauge theories on noncommutative spaces (induced via a star product with a constant 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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Received: 13 June 2001 / Published online: 19 July 2001
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Jurčo, B., Möller, L., Schraml, S. et al. Construction of non-Abelian gauge theories on noncommutative spaces. Eur. Phys. J. C 21, 383–388 (2001). https://doi.org/10.1007/s100520100731
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DOI: https://doi.org/10.1007/s100520100731