Gerbes and Heisenberg's Uncertainty Principle
High Energy Physics - Theory
2008-11-26 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0512241,
title = {Gerbes and Heisenberg's Uncertainty Principle},
author = {J. M. Isidro},
journal= {arXiv preprint arXiv:hep-th/0512241},
year = {2008}
}
Comments
12 pages, 1 figure available upon request