The spectral dimension of the universe is scale dependent

被引：335
作者：
Ambjorn, J
Jurkiewicz, J
Loll, R
机构：
[1] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen, Denmark
[2] Jagiellonian Univ, Mark Kac Complex Syst Res Ctr, Marian Smoluchowski Inst Phys, PL-30059 Krakow, Poland
[3] Univ Utrecht, Inst Theoret Phys, NL-3584 CE Utrecht, Netherlands
来源：
PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 17期
关键词：
D O I：
10.1103/PhysRevLett.95.17.171301
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We measure the spectral dimension of universes emerging from nonperturbative quantum gravity, defined through state sums of causal triangulated geometries. While four dimensional on large scales, the quantum universe appears two dimensional at short distances. We conclude that quantum gravity may be "self-renormalizing" at the Planck scale, by virtue of a mechanism of dynamical dimensional reduction.
引用
收藏
页数：4
相关论文
共 13 条
  • [1] Nonperturbative Lorentzian path integral for gravity
    Ambjorn, J
    Jurkiewicz, J
    Loll, R
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (05) : 924 - 927
  • [2] Ambjorn J, 1998, J HIGH ENERGY PHYS
  • [3] Reconstructing the Universe
    Ambjorn, J
    Jurkiewicz, J
    Loll, R
    [J]. PHYSICAL REVIEW D, 2005, 72 (06)
  • [4] Semiclassical universe from first principles
    Ambjorn, J
    Jurkiewicz, J
    Loll, R
    [J]. PHYSICS LETTERS B, 2005, 607 (3-4) : 205 - 213
  • [5] Quantum geometry of 2D gravity coupled to unitary matter
    Ambjorn, J
    Anagnostopoulos, KN
    [J]. NUCLEAR PHYSICS B, 1997, 497 (1-2) : 445 - 475
  • [6] ON THE FRACTAL STRUCTURE OF 2-DIMENSIONAL QUANTUM-GRAVITY
    AMBJORN, J
    JURKIEWICZ, J
    WATABIKI, Y
    [J]. NUCLEAR PHYSICS B, 1995, 454 (1-2) : 313 - 342
  • [7] Dynamically triangulating Lorentzian quantum gravity
    Ambjorn, J
    Jurkiewicz, J
    Loll, R
    [J]. NUCLEAR PHYSICS B, 2001, 610 (1-2) : 347 - 382
  • [8] The spectral dimension of 2D quantum gravity
    Ambjorn, J
    Nielsen, JL
    Rolf, J
    Boulatov, D
    Watabiki, Y
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 1998, (02): : XIX - 7
  • [9] AMBJORN J, PHYS REV LETT, V93
  • [10] Ben-Avraham D., 2000, DIFFUSION REACTIONS
12