Non-perturbative Lorentzian quantum gravity, causality and topology change

被引:262
作者
Ambjorn, J
Loll, R
机构
[1] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
[2] Albert Einstein Inst, Max Planck Inst Gravitat Phys, D-14473 Potsdam, Germany
关键词
quantum gravity; two-dimensional; Lorentzian; non-perturbative; causal structure;
D O I
10.1016/S0550-3213(98)00692-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We formulate a non-perturbative lattice model of two-dimensional Lorentzian quantum gravity by performing the path integral over geometries with a causal structure. The model can be solved exactly at the discretized level. Its continuum limit coincides with the theory obtained by quantizing 2d continuum gravity in proper-time gauge, but it disagrees with 2d gravity defined via matrix models or Liouville theory. By allowing topology change of the compact spatial slices (i.e. baby universe creation), one obtains agreement with the matrix models and Liouville theory. (C) 1999 Elsevier Science B.V.
引用
收藏
页码:407 / 434
页数:28
相关论文
共 33 条
  • [1] MULTILOOP CORRELATORS FOR 2-DIMENSIONAL QUANTUM-GRAVITY
    AMBJORN, J
    JURKIEWICZ, J
    MAKEENKO, YM
    [J]. PHYSICS LETTERS B, 1990, 251 (04) : 517 - 524
  • [2] SUMMING OVER ALL GENERA FOR D-GREATER-THAN-1 - A TOY MODEL
    AMBJORN, J
    DURHUUS, B
    JONSSON, T
    [J]. PHYSICS LETTERS B, 1990, 244 (3-4) : 403 - 412
  • [3] THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES
    AMBJORN, J
    DURHUUS, B
    FROHLICH, J
    ORLAND, P
    [J]. NUCLEAR PHYSICS B, 1986, 270 (03) : 457 - 482
  • [4] OBSERVING 4D BABY UNIVERSES IN QUANTUM-GRAVITY
    AMBJORN, J
    JAIN, S
    JURKIEWICZ, J
    KRISTJANSEN, CF
    [J]. PHYSICS LETTERS B, 1993, 305 (03) : 208 - 213
  • [5] SCALING IN QUANTUM-GRAVITY
    AMBJORN, J
    WATABIKI, Y
    [J]. NUCLEAR PHYSICS B, 1995, 445 (01) : 129 - 142
  • [6] DISEASES OF TRIANGULATED RANDOM SURFACE MODELS, AND POSSIBLE CURES
    AMBJORN, J
    DURHUUS, B
    FROHLICH, J
    [J]. NUCLEAR PHYSICS B, 1985, 257 (03) : 433 - 449
  • [7] SCALING IN 4-DIMENSIONAL QUANTUM-GRAVITY
    AMBJORN, J
    JURKIEWICZ, J
    [J]. NUCLEAR PHYSICS B, 1995, 451 (03) : 643 - 676
  • [8] BABY UNIVERSES IN 2D QUANTUM-GRAVITY
    AMBJORN, J
    JAIN, S
    THORLEIFSSON, G
    [J]. PHYSICS LETTERS B, 1993, 307 (1-2) : 34 - 39
  • [9] DYNAMICAL TRIANGULATIONS, A GATEWAY TO QUANTUM-GRAVITY
    AMBJORN, J
    JURKIEWICZ, J
    WATABIKI, Y
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1995, 36 (11) : 6299 - 6339
  • [10] AMBJORN J, 1997, CAMBRIDGE MONOGRAPHS