Gauss Linking Number and Electro-magnetic Uncertainty Principle

Details Gauss Linking Number and Electro-magnetic Uncertainty Principle Gauss Linking Number and Electro-magnetic Uncertainty Principle

1997-01-24

arxiv.org/abs/hep-th/9701136v1

Phys.Rev. D56 (1997) 2073-2079

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Revtex file, 3 eps figures

Scientific paper

10.1103/PhysRevD.56.2073

It is shown that there is a precise sense in which the Heisenberg uncertainty between fluxes of electric and magnetic fields through finite surfaces is given by (one-half $\hbar$ times) the Gauss linking number of the loops that bound these surfaces. To regularize the relevant operators, one is naturally led to assign a framing to each loop. The uncertainty between the fluxes of electric and magnetic fields through a single surface is then given by the self-linking number of the framed loop which bounds the surface.

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