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
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.
Copyright Società Italiana di Fisica, Springer-Verlag 2000
