Photon inner product and the Gauss-linking number

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Published under licence by IOP Publishing Ltd
, , Citation Abhay Ashtekar and Alejandro Corichi 1997 Class. Quantum Grav. 14 A43 DOI 10.1088/0264-9381/14/1A/005

0264-9381/14/1A/A43

Abstract

It is shown that there is an interesting interplay between self-duality, loop representation and knot invariants in the quantum theory of Maxwell fields in Minkowski spacetime. Specifically, in the loop representation based on self-dual connections, the measure that dictates the inner product can be expressed in terms of the Gauss-linking number of thickened loops.

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10.1088/0264-9381/14/1A/005