Eur. Phys. J. C (2007) 52: 435-450
https://doi.org/10.1140/epjc/s10052-007-0369-5

Regular Article - Theoretical Physics

Induced gauge theory on a noncommutative space

Fakultät für Physik, Universität Wien, Boltzmanngasse 5, 1090, Vienna, Austria

^* e-mail: michael.wohlgenannt@univie.ac.at

Received: 22 May 2007
Published online: 31 July 2007

Abstract

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.