On the relation between Euclidean and Lorentzian 2D quantum gravity

Details On the relation between Euclidean and Lorentzian 2D quantum gravity On the relation between Euclidean and Lorentzian 2D quantum gravity

1999-12-29

arxiv.org/abs/hep-th/9912267v1

Phys.Lett. B475 (2000) 24-32

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 2 figures

Scientific paper

10.1016/S0370-2693(00)00058-7

Starting from 2D Euclidean quantum gravity, we show that one recovers 2D Lorentzian quantum gravity by removing all baby universes. Using a peeling procedure to decompose the discrete, triangulated geometries along a one-dimensional path, we explicitly associate with each Euclidean space-time a (generalized) Lorentzian space-time. This motivates a map between the parameter spaces of the two theories, under which their propagators get identified. In two dimensions, Lorentzian quantum gravity can therefore be viewed as a ``renormalized'' version of Euclidean quantum gravity.

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