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Gauge theories on the kappa-Minkowski spacetime

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arxiv hep-th/0310116 v2 pith:F5MXIWN4 submitted 2003-10-13 hep-th

Marija Dimitrijevic , Frank Meyer , Lutz Möller , Julius Wess This is my paper · ORCID
classification hep-th
keywords gaugetheoriesfieldspacetimeconstructdeformedexamplefirst
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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 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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  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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