Induced gauge theory on a noncommutative space
Abstract
We consider a scalar φ^{4} 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 1loop effective action, using a matrix basis and propose an action for the noncommutative gauge theory, which is a candidate for a renormalisable model.
 Publication:

European Physical Journal C
 Pub Date:
 October 2007
 DOI:
 10.1140/epjc/s1005200703695
 arXiv:
 arXiv:hepth/0703169
 Bibcode:
 2007EPJC...52..435G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 Typos corrected, one reference added