Gerbes and Heisenberg's Uncertainty Principle
arXiv:hep-th/0512241 · doi:10.1142/S021988780600179X
Abstract
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.
12 pages, 1 figure available upon request