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Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces

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

Abstract.

An enveloping algebra-valued gauge field is constructed, its components are functions of the Lie algebra-valued gauge field and can be constructed with the Seiberg-Witten map. This allows the formulation of a dynamics for a finite number of gauge field components on non-commutative spaces.

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Authors and Affiliations

  1. Max-Planck-Institut für Mathematik, Vivatgasse 7, 53111 Bonn, Germany, , , , , , DE

    B. Jurco

  2. Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany, , , , , , DE

    S. Schraml & J. Wess

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

    P. Schupp

Authors
  1. B. Jurco
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  2. S. Schraml
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  3. P. Schupp
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  4. J. Wess
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Received: 17 July 2000 / Published online: 31 August 2000

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Jurco, B., Schraml, S., Schupp, P. et al. Enveloping algebra-valued gauge transformations for non-abelian gauge groups on non-commutative spaces. Eur. Phys. J. C 17, 521–526 (2000). https://doi.org/10.1007/s100520000487

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  • DOI: https://doi.org/10.1007/s100520000487

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