https://doi.org/10.1140/epjc/s2004-01887-0
theoretical physics
Gauge theories on the 
-Minkowski spacetime
1
Fakultät für Physik, Universität München, Theresienstr. 37, 80333, München, Germany
2
Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, München, Germany
3
Faculty of Physics, University of Belgrade, Studentski trg 12, 11000, Beograd, Serbia and Montenegro
* e-mail: dmarija@theorie.physik.uni-muenchen.de
This study of gauge field theories on -deformed Minkowski spacetime extends previous work on field theories on this example of a non-commutative spacetime. We construct deformed gauge theories for arbitrary compact Lie groups using the concept of enveloping algebra-valued gauge transformations and the Seiberg-Witten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvature- and torsion-like terms. We construct the Lagrangians explicitly to first order in the deformation parameter. This is the first example of a gauge theory that possesses a deformed Lorentz covariance.
© Springer-Verlag, 2004
