New multicritical matrix models and multicritical 2d CDT

被引:17
作者
Ambjorn, J. [1 ]
Glaser, L. [1 ]
Gorlich, A. [1 ,2 ]
Sato, Y. [1 ,3 ]
机构
[1] Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
[2] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland
[3] Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, Japan
关键词
Quantum gravity; Lower dimensional models; Lattice models; 2-DIMENSIONAL QUANTUM-GRAVITY; PLANAR RANDOM SURFACES; REGULATED STRING THEORIES; CRITICAL DIMENSIONS; SPACE-TIME; GEOMETRY; SIMULATIONS; APPEARANCE; LATTICE;
D O I
10.1016/j.physletb.2012.04.047
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We define multicritical CDT models of 2d quantum gravity and show that they are a special case of multicritical generalized CDT models obtained from the new scaling limit, the so-called "classical" scaling limit, of matrix models. The multicritical behavior agrees with the multicritical behavior of the so-called branched polymers. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:109 / 114
页数:6
相关论文
共 46 条
[1]   SIMULATIONS OF 4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY AS DYNAMIC TRIANGULATION [J].
AGISHTEIN, ME ;
MIGDAL, AA .
MODERN PHYSICS LETTERS A, 1992, 7 (12) :1039-1061
[2]   A matrix model for 2D quantum gravity defined by Causal dynamical triangulations [J].
Ambjorn, J. ;
Loll, R. ;
Watabiki, Y. ;
Westra, W. ;
Zohren, S. .
PHYSICS LETTERS B, 2008, 665 (04) :252-256
[3]   Planckian birth of a quantum de Sitter universe [J].
Ambjorn, J. ;
Goerlich, A. ;
Jurkiewicz, J. ;
Loll, R. .
PHYSICAL REVIEW LETTERS, 2008, 100 (09)
[4]   The quantum space-time of c=-2 gravity [J].
Ambjorn, J ;
Anagnostopoulos, K ;
Ichihara, T ;
Jensen, L ;
Kawamoto, N ;
Watabiki, Y ;
Yotsuji, K .
NUCLEAR PHYSICS B, 1998, 511 (03) :673-710
[5]  
Ambjorn J, 2000, PHYS REV D, V61, DOI 10.1103/PhysRevD.61.044010
[6]   New perspective on matter coupling in 2D quantum gravity [J].
Ambjorn, J ;
Anagnostopoulos, KN ;
Loll, R .
PHYSICAL REVIEW D, 1999, 60 (10)
[7]   THE APPEARANCE OF CRITICAL DIMENSIONS IN REGULATED STRING THEORIES [J].
AMBJORN, J ;
DURHUUS, B ;
FROHLICH, J ;
ORLAND, P .
NUCLEAR PHYSICS B, 1986, 270 (03) :457-482
[8]   4-DIMENSIONAL SIMPLICIAL QUANTUM-GRAVITY [J].
AMBJORN, J ;
JURKIEWICZ, J .
PHYSICS LETTERS B, 1992, 278 (1-2) :42-50
[9]   Reconstructing the Universe [J].
Ambjorn, J ;
Jurkiewicz, J ;
Loll, R .
PHYSICAL REVIEW D, 2005, 72 (06)
[10]   A SOLVABLE 2D-GRAVITY MODEL WITH GAMMA-GREATER-THAN-0 [J].
AMBJORN, J ;
DURHUUS, B ;
JONSSON, T .
MODERN PHYSICS LETTERS A, 1994, 9 (13) :1221-1228