The spectral dimension of the branched polymer phase of two-dimensional quantum gravity

被引:42
|
作者
Jonsson, T
Wheater, JF
机构
[1] Univ Iceland, Raunvisindastofnun Haskolans, IS-107 Reykjavik, Iceland
[2] Univ Oxford, Dept Phys, Oxford OX1 3NP, England
关键词
conformal matter; quantum gravity; branched polymer; spectral dimension;
D O I
10.1016/S0550-3213(98)00027-3
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
The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c > 1, We show analytically that the spectral dimension, d(S), of such a branched polymer phase is 4/3. This is in good agreement with numerical simulations for large c. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:549 / 574
页数:26
相关论文
共 50 条
  • [1] c-dependence of fractal dimension in two-dimensional quantum gravity
    Kawamoto, N
    Yotsuji, K
    [J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 : 794 - 796
  • [2] Quantum flatness in two-dimensional quantum gravity
    Brunekreef, J.
    Loll, R.
    [J]. PHYSICAL REVIEW D, 2021, 104 (12)
  • [3] Remnants in two-dimensional quantum gravity
    Germani, Cristiano
    Pereniguez, David
    [J]. PHYSICAL REVIEW D, 2018, 97 (12)
  • [4] The spectral dimension on branched polymer ensembles
    Jonsson, T
    Wheater, JF
    [J]. NEW DEVELOPMENTS IN QUANTUM FIELD THEORY, 1998, 366 : 341 - 348
  • [5] The Hausdorff dimension of surfaces in two-dimensional quantum gravity coupled to Ising minimal matter
    Bowick, MJ
    John, V
    Thorleifsson, G
    [J]. PHYSICS LETTERS B, 1997, 403 (3-4) : 197 - 202
  • [6] Numerical study for the c-dependence of fractal dimension in two-dimensional quantum gravity
    Kawamoto, N
    Yotsuji, K
    [J]. NUCLEAR PHYSICS B, 2002, 644 (03) : 533 - 567
  • [7] Generating functions in two-dimensional quantum gravity
    Shirokura, H
    [J]. NUCLEAR PHYSICS B, 1996, 462 (01) : 99 - 140
  • [8] TWO-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY
    HAMBER, HW
    WILLIAMS, RM
    [J]. NUCLEAR PHYSICS B, 1986, 267 (02) : 482 - 496
  • [9] NEW ASPECTS OF TWO-DIMENSIONAL QUANTUM GRAVITY
    Ambjorn, J.
    Loll, R.
    Watabiki, Y.
    Westra, W.
    Zohren, S.
    [J]. ACTA PHYSICA POLONICA B, 2009, 40 (12): : 3479 - 3507
  • [10] QUANTUM-THEORY OF TWO-DIMENSIONAL GRAVITY
    FUKUYAMA, T
    KAMIMURA, K
    [J]. PHYSICAL REVIEW D, 1987, 35 (12): : 3768 - 3770