On Consistency Of Noncommutative Chern-Simons Theory

Details On Consistency Of Noncommutative Chern-Simons Theory On Consistency Of Noncommutative Chern-Simons Theory

2007-07-25

arxiv.org/abs/0707.3681v1

JHEP 0710:038,2007

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1088/1126-6708/2007/10/038

We consider the noncommutative extension of Chern-Simons theory. We show the the theory can be fully expanded in power series of the noncommutative parameter theta and that no non-analytical sector exists. The theory appears to be unstable under radiative corrections, but we show that the infinite set of instabilities, to all orders in \hbar and in theta, is confined to a BRS exact cocycle. We show also that the theory is anomaly free. The quantum theory cannot be written in terms of the Groenewald-Moyal star product, and hence doubts arise on the interpretation of the noncommutative nature of the underlying spacetime. Nonetheless, the deformed theory is well defined as a quantum field theory, and the beta function of the Chern-Simons coupling constant vanishes, as in the ordinary Chern-Simons theory.

Affiliated with

Also associated with

No associations

Rating

On Consistency Of Noncommutative Chern-Simons Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Consistency Of Noncommutative Chern-Simons Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Consistency Of Noncommutative Chern-Simons Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-546713