Induced Chern-Simons action on noncommutative torus

Details Induced Chern-Simons action on noncommutative torus Induced Chern-Simons action on noncommutative torus

2007-01-02

arxiv.org/abs/hep-th/0701017v2

Mod.Phys.Lett.A22:1255-1263,2007

Physics

High Energy Physics

High Energy Physics - Theory

9 pp; v2: references and discussion added

Scientific paper

10.1142/S0217732307023596

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.

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