Induced Chern-Simons action on noncommutative torus
High Energy Physics - Theory
2008-11-26 v2
Abstract
We compute a Chern-Simons term induced by the fermions on noncommutative torus interacting with two U(1) gauge fields. For rational noncommutativity \theta \propto P/Q we find a new mixed term in the action which involves only those fields which are (2\pi)/Q periodic, like the fields in a crystal with Q^2 nodes.
Cite
@article{arxiv.hep-th/0701017,
title = {Induced Chern-Simons action on noncommutative torus},
author = {D. V. Vassilevich},
journal= {arXiv preprint arXiv:hep-th/0701017},
year = {2008}
}
Comments
9 pp; v2: references and discussion added