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Gauge theories on the kappa-Minkowski spacetime

Marija Dimitrijevic·Frank Meyer·Lutz Möller·Julius Wess
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Abstract

This study of gauge field theories on kappa-deformed Minkowski spacetime extends previous work on field theories on this example of a noncommutative 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.

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Marija Dimitrijevic, Frank Meyer, Lutz Möller, Julius Wess. 2004-08-02. Gauge theories on the kappa-Minkowski spacetime. https://doi.org/10.1140/epjc%2Fs2004-01887-0

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