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Particles and Fields
Eur. Phys. J. C 17, 521-526
DOI 10.1007/s100520000487

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

B. Jurco1 - S. Schraml2,3 - P. Schupp3 - J. Wess2,3

1 Max-Planck-Institut für Mathematik, Vivatgasse 7, 53111 Bonn, Germany
2 Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, Germany
3 Sektion Physik, Universität München, Theresienstrasse 37, 80333 München, Germany

Received: 17 July 2000 / Published online: 31 August 2000 - © Springer-Verlag 2000

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.

Copyright Società Italiana di Fisica, Springer-Verlag 2000