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

Abstract

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.

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

References in corpus (2)

• Non-perturbative summation over 3D discrete topologies
• Taming the cosmological constant in 2D causal quantum gravity with topology change

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• Including topology change in Loop Quantum Gravity with topspin network formalism with application to homogeneous and isotropic cosmology
• Analytic Results in 2D Causal Dynamical Triangulations: A Review
• Gauge Group and Topology Change
• Introductory Causal Dynamical Triangulation
• Topology Change and the Emergence of Geometry in Two Dimensional Causal Quantum Gravity