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arXiv · gr-qc/9608017

Photon inner product and the Gauss linking number

Abhay Ashtekar·Alejandro Corichi
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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.

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Abhay Ashtekar, Alejandro Corichi. 1996-08-06. Photon inner product and the Gauss linking number. https://doi.org/10.1088/0264-9381%2F14%2F1a%2F005

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