Background independent duals of the harmonic oscillator
High Energy Physics - Theory
2009-11-11 v2 General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0511131,
title = {Background independent duals of the harmonic oscillator},
author = {Viqar Husain},
journal= {arXiv preprint arXiv:hep-th/0511131},
year = {2009}
}
Comments
4 pages, version to appear in PRL