A gauge theory of quantum mechanics
arXiv:quant-ph/0608093 · doi:10.1142/S0217732307022578
Abstract
An Abelian gerbe is constructed over classical phase space. The 2-cocycles defining the gerbe are given by Feynman path integrals whose integrands contain the exponential of the Poincare-Cartan form. The U(1) gauge group on the gerbe has a natural interpretation as the invariance group of the Schroedinger equation on phase space.
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