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Gauge theory on kappa-Minkowski revisited: the twist approach

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arxiv 1110.6767 v1 pith:AEDPJ4NA submitted 2011-10-31 hep-th

Marija Dimitrijevic , Larisa Jonke This is my paper · ORCID
classification hep-th
keywords gaugekappa-minkowskinoncommutativespace-timeactionambiguitiesapproachtwist
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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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  1. Yang-Mills Field in the $\kappa$-space-time

    hep-th 2024-11 conditional novelty 6.0 of 10

    A first-order SU(N) Yang-Mills theory on κ-deformed spacetime is constructed, with field strengths rescaled by probe-energy-dependent factors and an SU(N)-invariant Lagrangian.

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