Gerbes, quantum mechanics and gravity
Oct, 2005Citations per year
Abstract:
We prove that invariance of a quantum theory under the semiclassical vs. strong-quantum duality , 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.- quantum mechanics
- gravitation
- path integral
- cohomology
- approximation: semiclassical
- approximation: strong coupling
- duality
- fibre bundle
- quantum gravity
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