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Non-Abelian Gauge Theories on Non-Commutative Spaces

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Abstract:

The construction of a non-abelian gauge theory on non-commutative spaces is based on enveloping algebra-valued gauge fields. The number of independent field components is reduced to the number of gauge fields in a usual gauge theory. This is done with the help of the Seiberg–Witten map. The dynamics is formulated with a Lagrangian where additional couplings appear.

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Authors and Affiliations

  1. Sektion Physik der Ludwig-Maximilians-Universität, Theresienstr. 37, 80333 München and¶Max-Planck-Institut für Physik, (Werner-Heisenberg-Institut), Föhringer Ring 6, 80805 München, Germany, , , , , , DE

    Julius Wess

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  1. Julius Wess
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Received: 9 August 2000 / Accepted: 12 August 2000

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Wess, J. Non-Abelian Gauge Theories on Non-Commutative Spaces. Commun. Math. Phys. 219, 247–257 (2001). https://doi.org/10.1007/s002200100400

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  • DOI: https://doi.org/10.1007/s002200100400

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