Noncommutative QFT and Renormalization
High Energy Physics - Theory
2008-11-26 v1
Abstract
Field theories on deformed spaces suffer from the IR/UV mixing and renormalization is generically spoiled. In work with R. Wulkenhaar, one of us realized a way to cure this disease by adding one more marginal operator. We review these ideas, show the application to models and use the heat kernel expansion methods for a scalar field theory coupled to an external gauge field on a -deformed space and derive noncommutative gauge field actions.
Cite
@article{arxiv.hep-th/0607208,
title = {Noncommutative QFT and Renormalization},
author = {Harald Grosse and Michael Wohlgenannt},
journal= {arXiv preprint arXiv:hep-th/0607208},
year = {2008}
}
Comments
To appear in the proceedings of the Workshop "Noncommutative Geometry in Field and String Theory", Corfu, 2005 (Greece)