Sum over topologies and double-scaling limit in 2D Lorentzian quantum gravity

Details Sum over topologies and double-scaling limit in 2D Lorentzian quantum gravity Sum over topologies and double-scaling limit in 2D Lorentzian quantum gravity

2003-06-19

arxiv.org/abs/hep-th/0306183v2

Class.Quant.Grav. 23 (2006) 465-472

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 3 Postscript figures; added comments on strip versus bulk partition function

Scientific paper

10.1088/0264-9381/23/2/011

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 well-defined double-scaling limit, a property which has eluded similar models of Euclidean quantum gravity in the past.

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