2D-GRAVITY FROM A 1D-MATRIX MODEL - DOUBLE SCALING LIMIT

被引：1
|
作者：
SILVESTROV, PG
机构：
[1] Institute of Nuclear Physics
来源：
PHYSICS LETTERS B | 1992年 / 276卷 / 04期
关键词：
D O I：
10.1016/0370-2693(92)91665-V
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The suggestion of Marinari and Parisi to identify observables in 2D gravity with correlators in matrix quantum mechanics is considered. A correct quantization in the double scaling limit reduces the problem to the calculation of a few eigenfunctions of a simple one-dimensional hamiltonian. A function is defined which may substitute the Painleve transcendent for a nonperturbative description of random surfaces statistics.
引用
收藏
页码：445 / 450
页数：6
相关论文
共 50 条
  • [41] On the connection between 2d topological gravity and the reduced Hermitian matrix model
    Ambjorn, J
    Harris, MG
    Weis, M
    NUCLEAR PHYSICS B, 1997, 504 (1-2) : 482 - 510
  • [42] A matrix model for 2D quantum gravity defined by Causal dynamical triangulations
    Ambjorn, J.
    Loll, R.
    Watabiki, Y.
    Westra, W.
    Zohren, S.
    PHYSICS LETTERS B, 2008, 665 (04) : 252 - 256
  • [43] Multiparticle scaling functions from a 1-D Ising model
    Huang, DW
    CHINESE JOURNAL OF PHYSICS, 1996, 34 (06) : 1298 - 1307
  • [44] Stochastic Heat Equation Limit of a (2 + 1)d Growth Model
    Alexei Borodin
    Ivan Corwin
    Fabio Lucio Toninelli
    Communications in Mathematical Physics, 2017, 350 : 957 - 984
  • [45] Double-scaling limit of a broken symmetry quantum field theory in dimensions D<2
    Bender, CM
    Boettcher, S
    Jones, HF
    Meisinger, PN
    JOURNAL OF MATHEMATICAL PHYSICS, 2001, 42 (05) : 1960 - 1973
  • [46] so(D - 1, 1) ⊕ so (D - 1, 2) algebras and gravity
    Salgado, P.
    Salgado, S.
    PHYSICS LETTERS B, 2014, 728 : 5 - 10
  • [47] Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
    Pozsgay, Balazs
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2011,
  • [48] Numerical analysis of the double scaling limit in the bosonic part of the II-B matrix model
    Horata, S
    Egawa, HS
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2001, 94 : 708 - 710
  • [49] 2D GRAVITY+1D MATTER
    GINSPARG, P
    ZINNJUSTIN, J
    PHYSICS LETTERS B, 1990, 240 (3-4) : 333 - 340
  • [50] The continuous series of critical points of the two-matrix model at N→∞ in the double scaling limit
    Balaska, S
    Maeder, J
    Ruhl, W
    NUCLEAR PHYSICS B, 1998, 520 (1-2) : 411 - 432
12345