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

被引:9
|
作者
Loll, R [1 ]
Westra, W [1 ]
机构
[1] Univ Utrecht, Inst Theoret Phys, NL-3584 CE Utrecht, Netherlands
关键词
D O I
10.1088/0264-9381/23/2/011
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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.
引用
收藏
页码:465 / 471
页数:7
相关论文
共 50 条
  • [1] Fermions in 2d Lorentzian quantum gravity
    Bogacz, L
    Burda, Z
    Jurkiewicz, J
    [J]. ACTA PHYSICA POLONICA B, 2003, 34 (08): : 3987 - 3999
  • [2] Double-scaling limit of a broken symmetry quantum field theory in dimensions D<2
    Bender, CM
    Boettcher, S
    Jones, HF
    Meisinger, PN
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (05) : 1960 - 1973
  • [3] On the phase diagram of 2d Lorentzian quantum gravity
    Ambjorn, J
    Anagnostopoulos, KN
    Loll, R
    [J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2000, 83-4 : 733 - 735
  • [4] Scaling and quantum geometry in 2d gravity
    Anagnostopoulos, KN
    [J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 73 : 786 - 788
  • [5] Curvature correlators in nonperturbative 2D Lorentzian quantum gravity
    van der Duin, J.
    Loll, R.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2024, 84 (07):
  • [6] The relation between Euclidean and Lorentzian 2D quantum gravity
    Ambjorn, J
    Correia, J
    Kristjansen, C
    Loll, R
    [J]. PHYSICS LETTERS B, 2000, 475 (1-2) : 24 - 32
  • [7] Space-time foam in 2D and the sum over topologies
    Loll, R
    Westra, W
    [J]. ACTA PHYSICA POLONICA B, 2003, 34 (10): : 4997 - 5008
  • [8] POLYMERS IN O(N) SYMMETRICAL QUANTUM-FIELD THEORY IN THE DOUBLE-SCALING LIMIT
    MOSHE, M
    [J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1994, 16 (07): : 697 - 702
  • [9] Choptuik scaling and quantum effects in 2D dilaton gravity
    Peleg, Y
    Bose, S
    Parker, L
    [J]. PHYSICAL REVIEW D, 1997, 55 (08) : R4525 - R4528
  • [10] THE SUM OVER TOPOLOGIES IN 3-DIMENSIONAL EUCLIDEAN QUANTUM-GRAVITY
    CARLIP, S
    [J]. CLASSICAL AND QUANTUM GRAVITY, 1993, 10 (02) : 207 - 218