Gauge theories on the \(\kappa\)-Minkowski spacetime
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- Dimitrijević, M., Meyer, F., Möller, L. et al. Eur. Phys. J. C (2004) 36: 117. doi:10.1140/epjc/s2004-01887-0
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This study of gauge field theories on \(\kappa\)-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.