Hamiltonian analysis of the noncommutative Chern-Simons theory

Details Hamiltonian analysis of the noncommutative Chern-Simons theory Hamiltonian analysis of the noncommutative Chern-Simons theory

2003-12-23

arxiv.org/abs/hep-th/0312280v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, revtex4

Scientific paper

In this paper the hamiltonian analysis of the pure Chern-Simons theory on the noncommutative plane is performed. We use the techniques of geometric quantization to show that the classical reduced phase space of the theory has nontrivial topology and that quantization of the symplectic structure on this space is possible only if the Chern-Simons coefficient is quantized. Also we show that the physical Hilbert space of the theory is one dimensional and give an explicit expression for the vacuum wavefunction. This vacuum state is found to be related to the noncommutative Wess-Zumino-Witten action.

Affiliated with

Also associated with

No associations

Rating

Hamiltonian analysis of the 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 Hamiltonian analysis of the noncommutative Chern-Simons theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hamiltonian analysis of the noncommutative Chern-Simons theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640779