Photon inner product and the Gauss linking number
General Relativity and Quantum Cosmology
2010-04-06 v1 High Energy Physics - Theory
Abstract
It is shown that there is an interesting interplay between self-duality, loop representation and knots invariants in the quantum theory of Maxwell fields in Minkowski space-time. Specifically, in the loop representation based on self-dual connections, the measure that dictates the inner product can be expressed as the Gauss linking number of thickened loops.
Cite
@article{arxiv.gr-qc/9608017,
title = {Photon inner product and the Gauss linking number},
author = {Abhay Ashtekar and Alejandro Corichi},
journal= {arXiv preprint arXiv:gr-qc/9608017},
year = {2010}
}
Comments
18 pages, Revtex. No figures. To appear in Class. Quantum Grav