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arXiv · hep-th/0309053

Gauge Field Theory on the E_q(2)-covariant Plane

Frank Meyer·Harold Steinacker
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Abstract

Gauge theory on the q-deformed two-dimensional Euclidean plane R^2_q is studied using two different approaches. We first formulate the theory using the natural algebraic structures on R^2_q, such as a covariant differential calculus, a frame of one-forms and invariant integration. We then consider a suitable star product, and introduce a natural way to implement the Seiberg-Witten map. In both approaches, gauge invariance requires a suitable ``measure'' in the action, breaking the E_q(2)-invariance. Some possibilities to avoid this conclusion using additional terms in the action are proposed.

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Frank Meyer, Harold Steinacker. 2004-09-20. Gauge Field Theory on the E_q(2)-covariant Plane. https://doi.org/10.1142/s0217751x04019512

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