Gauge theory on kappa-Minkowski revisited: the twist approach

Abstract

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.

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

References in corpus (6)

• The principle of relative locality
• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Gauge theories on the kappa-Minkowski spacetime
• Noncommutative D=4 gravity coupled to fermions
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Field Theory on Curved Noncommutative Spacetimes

Cited by in corpus (1)

• Gauge Theory on Twisted $\kappa$-Minkowski: Old Problems and Possible Solutions