Background independent duals of the harmonic oscillator

Details Background independent duals of the harmonic oscillator Background independent duals of the harmonic oscillator

2005-11-11

arxiv.org/abs/hep-th/0511131v2

Phys.Rev.Lett. 96 (2006) 221303

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, version to appear in PRL

Scientific paper

10.1103/PhysRevLett.96.221303

We show that a class of topological field theories are quantum duals of the harmonic oscillator. This is demonstrated by establishing a correspondence between the creation and annihilation operators and non-local gauge invariant observables of the topological field theory. The example is used to discuss some issues concerning background independence and the relation of vacuum energy to the problem of time in quantum gravity.

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