Renormalization and Induced Gauge Action on a Noncommutative Space
High Energy Physics - Theory
2008-11-26 v1
Abstract
Field theories on deformed spaces suffer from the IR/UV mxing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this desease by adding one more marginal operator. We review these ideas, show the application to models and use heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a -deformed space and derive noncommutative gauge actions.
Cite
@article{arxiv.0706.2167,
title = {Renormalization and Induced Gauge Action on a Noncommutative Space},
author = {Harald Grosse and Michael Wohlgenannt},
journal= {arXiv preprint arXiv:0706.2167},
year = {2008}
}