Ju l 2 00 5 SPIN-2003 / 14 ITP-UU-03 / 24 Sum over topologies and double-scaling limit in 2 D Lorentzian quantum gravity

@inproceedings{Loll2005JuL2,
title={Ju l 2 00 5 SPIN-2003 / 14 ITP-UU-03 / 24 Sum over topologies and double-scaling limit in 2 D Lorentzian quantum gravity},
author={Renate Loll and W. Westra},
year={2005}
}

We construct a combined non-perturbative path integral over geometries and topologies for two-dimensional Lorentzian quantum gravity. The Lorentzian structure is used in an essential way to exclude geometries with unacceptably large causality violations. The remaining sum can be performed analytically and possesses a unique and welldefined double-scaling limit, a property which has eluded similar models of Euclidean quantum gravity in the past. 1 Summing over topologies? A central question that… CONTINUE READING

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