Induced Gauge Theory on a Noncommutative Space
High Energy Physics - Theory
2008-11-26 v3
Abstract
We consider a scalar 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.
Cite
@article{arxiv.hep-th/0703169,
title = {Induced Gauge Theory on a Noncommutative Space},
author = {Harald Grosse and Michael Wohlgenannt},
journal= {arXiv preprint arXiv:hep-th/0703169},
year = {2008}
}
Comments
Typos corrected, one reference added; eqn. (49) corrected, one equation number added; 30 pages