The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach

Details The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach

2009-07-18

arxiv.org/abs/0907.3240v3

Class.Quant.Grav.27:065009,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Minor changes and some references added. Latex, 16 pages, 1 figure

Scientific paper

10.1088/0264-9381/27/6/065009

As a laboratory for loop quantum gravity, we consider the canonical quantization of the three-dimensional Chern-Simons theory on a noncompact space with the topology of a cylinder. Working within the loop quantization formalism, we define at the quantum level the constraints appearing in the canonical approach and completely solve them, thus constructing a gauge and diffeomorphism invariant physical Hilbert space for the theory. This space turns out to be infinite dimensional, but separable.

Affiliated with

Also associated with

No associations

Rating

The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach 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 The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Hilbert space of Chern-Simons theory on the cylinder. A Loop Quantum Gravity approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-683456