Gauge theory on kappa-Minkowski revisited: the twist approach

Details Gauge theory on kappa-Minkowski revisited: the twist approach Gauge theory on kappa-Minkowski revisited: the twist approach

2011-10-31

arxiv.org/abs/1110.6767v1

Physics

High Energy Physics

High Energy Physics - Theory

Based on talks given at QTS7 (Prague), BW2011 (Donji Milanovac), Corfu2011, BlagojevicFest (Divcibare)

Scientific paper

Kappa-Minkowski space-time is an example of noncommutative space-time with potentially interesting phenomenology. However, the construction of field theories on this space is plagued with ambiguities. We propose to resolve certain ambiguities by clarifying the geometrical picture of gauge transformations on the kappa-Minkowski space-time in the twist approach. We construct the action for the noncommutative U(1) gauge fields in a geometric way, as an integral of a maximal form. The effective action with the first order corrections in the deformation parameter is obtained using the Seiberg-Witten map to relate noncommutative and commutative degrees of freedom.

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