Construction of non-Abelian gauge theories on noncommutative spaces |
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Authors: | B Jur?o L Möller S Schraml P Schupp J Wess |
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Institution: | Sektion Physik, Universit?t München, Theresienstrasse 37, 80333 München, Germany, DE
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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 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.
Received: 13 June 2001 / Published online: 19 July 2001 |
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