U(1) gauge field theory on kappa-Minkowski space
Marija Dimitrijevic, Larisa Jonke, Lutz M\"oller
TL;DR
This paper explores the formulation of U(1) gauge field theory on kappa-Minkowski space, focusing on the Seiberg-Witten map, effective action, and invariance under Poincare symmetry in a noncommutative setting.
Contribution
It provides a detailed analysis of the Seiberg-Witten map and constructs an invariant effective U(1) action on kappa-Minkowski space, extending previous work in noncommutative gauge theories.
Findings
Constructed the conserved gauge current.
Fixed ambiguities in the Seiberg-Witten map.
Obtained an invariant effective U(1) action.
Abstract
This study of U(1) gauge field theory on the kappa-deformed Minkowski spacetime extends previous work on gauge field theories on this type of noncommutative spacetime. We discuss in detail the properties of the Seiberg-Witten map and the resulting effective action for U(1) gauge theory with fermionic matter expanded in ordinary fields. We construct the conserved gauge current, fix part of the ambiguities in the Seiberg-Witten map and obtain an effective U(1) action invariant under the action of the undeformed Poincare group.
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