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Construction of non-Abelian gauge theories on noncommutative spaces

  • Theoretical physics
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The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

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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Authors and Affiliations

  1. Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany, , , , , , DE

    B. Jurčo, L. Möller, S. Schraml, P. Schupp & J. Wess

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  1. B. Jurčo
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  2. L. Möller
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  3. S. Schraml
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  4. P. Schupp
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  5. J. Wess
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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

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