Abstract
An interesting interplay between self-duality, the Kodama (Chern-Simons) state and knot invariants is shown to emerge in the quantum theory of an Abelian gauge theory. More precisely, when a self-dual representation of the CCR is chosen, the corresponding vacuum in the Schrödinger representation is precisely given by the Kodama state. Several consequences of this construction are explored.
- Received 18 November 2003
DOI:https://doi.org/10.1103/PhysRevD.69.047702
©2004 American Physical Society