Gerbes and Heisenberg’s Uncertainty Principle

نویسنده

  • José M. Isidro
چکیده

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

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تاریخ انتشار 2006