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
收藏
页码：24 / 32
页数：9
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