Gauge theories on the κ - Minkowski spacetime

نویسندگان

  • Marija Dimitrijević
  • Frank Meyer
  • Lutz Möller
  • Julius Wess
چکیده

This study of gauge field theories on κ-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 SeibergWitten formalism. Derivative-valued gauge fields lead to field strength tensors as the sum of curvatureand 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. eMail: dmarija; meyerf; lmoeller; [email protected]

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تاریخ انتشار 2005