Regular Article - Theoretical Physics
Induced gauge theory on a noncommutative space
Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Vienna, Austria
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Published online: 31 July 2007
We consider a scalar φ4 theory on canonically deformed Euclidean space in 4 dimensions with an additional oscillator potential. This model is known to be renormalisable. An exterior gauge field is coupled in a gauge invariant manner to the scalar field. We extract the dynamics for the gauge field from the divergent terms of the 1-loop effective action, using a matrix basis and propose an action for the noncommutative gauge theory, which is a candidate for a renormalisable model.
© Springer-Verlag , 2007