Photon inner product and the Gauss linking number

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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18 pages, Revtex. No figures. To appear in Class. Quantum Grav

Scientific paper

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

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.

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