FRACTAL STRUCTURE OF 2-DIMENSIONAL GRAVITY COUPLED TO C=-2 MATTER

被引:45
作者
KAWAMOTO, N [1 ]
KAZAKOV, VA [1 ]
SAEKI, Y [1 ]
WATABIKI, Y [1 ]
机构
[1] ECOLE NORM SUPER,PHYS THEOR LAB,F-75231 PARIS 05,FRANCE
关键词
D O I
10.1103/PhysRevLett.68.2113
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present the results of numerical calculations of internal fractal dimensions of a dynamically triangulated two-dimensional gravity coupled to c = -2 matter. Internal fractal dimensions as a function of internal geodesic distance are measured from the number of boundaries and the total length of boundaries, and show clear scaling behavior, while the number of triangles starts to scale only around the maximum size. We apply a recursive sampling algorithm for c = -2, which makes it possible to generate the most probable triangulations of spherical topology, consisting of 5 x 10(6) triangles.
引用
收藏
页码:2113 / 2116
页数:4
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