Gerbes, Quantum Mechanics and Gravity

Details Gerbes, Quantum Mechanics and Gravity Gerbes, Quantum Mechanics and Gravity

2005-10-10

arxiv.org/abs/hep-th/0510075v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 1 figure available upon request

Scientific paper

We prove that invariance of a quantum theory under the semiclassical vs. strong-quantum duality $S/\hbar\longleftrightarrow\hbar/S$, where S is the classical action, is equivalent to noncommutativity (of the Heisenberg-algebra type) of the coordinates of the space on which S is defined. We place these facts in correspondence with gerbes and Neveu-Schwarz B-fields and discuss their implications for a quantum theory of gravity. Feynman's propagator turns out to be closely related to the trivialisation of a gerbe on configuration space.

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