3D ISING-MODEL AND 2D INDUCED GRAVITY

被引：5
|
作者：
SEDRAKYAN, AG [1 ]
机构：
[1] YEREVAN PHYS INST,YEREVAN 375036,ARMENIA,USSR
来源：
PHYSICS LETTERS B | 1991年 / 260卷 / 1-2期
关键词：
D O I：
10.1016/0370-2693(91)90967-U
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
The 3D Ising model (3DIM) is investigated near the critical point. It will be shown that in this limit in 3DIM there are induced gravitational modes, which are described by the SL (2, R) current algebra with coupling constant K. The singularities of the two-dimensional surfaces, immersed in 3D euclidean space are taken into account. Their contribution to the partition function is equivalent to the contribution of the anyons with charges + 1/2(K+4) and conformal spin 1/2[1+1/2(K+4)] included in the problem under consideration. The Knizhnik-Polyakov-Zamolodchikov equation for the renormalized matter-field coupling constant K is changed and the solution D = 3, K = 0 is found.
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页码：45 / 52
页数：8
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