Gerbes and Heisenberg's Uncertainty Principle

Details Gerbes and Heisenberg's Uncertainty Principle Gerbes and Heisenberg's Uncertainty Principle

2005-12-19

arxiv.org/abs/hep-th/0512241v2

Int.J.Geom.Meth.Mod.Phys.3:1469-1480,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure available upon request

Scientific paper

10.1142/S021988780600179X

We prove that a gerbe with a connection can be defined on classical phase
space, taking the U(1)-valued phase of certain Feynman path integrals as Cech
2-cocycles. A quantisation condition on the corresponding 3-form field strength
is proved to be equivalent to Heisenberg's uncertainty principle.

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