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A gauge theory of quantum mechanics

J. M. Isidro·M. A. de Gosson
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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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J. M. Isidro, M. A. de Gosson. 2006-08-10. A gauge theory of quantum mechanics. https://doi.org/10.1142/s0217732307022578

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