The relation between Euclidean and Lorentzian 2D quantum gravity

被引：41

作者：

Ambjorn, J

Correia, J

Kristjansen, C

Loll, R

机构：

[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[2] Max Planck Inst Gravitati Phys, Albert Einstein Inst, D-14476 Golm, Germany

来源：

PHYSICS LETTERS B | 2000年 / 475卷 / 1-2期

关键词：

2D gravity; random triangulations; Lorentzian triangulations; transfer matrix formalism; random walk; branched polymers;

D O I：

10.1016/S0370-2693(00)00058-7

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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. (C) 2000 Elsevier Science B.V. Ail rights reserved.

引用

页码：24 / 32

页数：9

共 9 条

[1] Euclidean and Lorentzian quantum gravity - Lessons from two dimensions [J].