Fisher's scaling and dualities at thigh energy in E(∞) spaces

被引:2
作者
El Naschie, MS
机构
[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Cambridge CB3 9EW, England
[2] Free Univ Brussels, Solvaz Inst, Brussels, Belgium
关键词
D O I
10.1016/S0960-0779(00)00127-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The note outlines an extension of the well-known Fisher scaling relationship gamma = nu (2 - eta) using duality to transform the Ambjorn-Castro and Parisi's result for the Hausdorff dimension d(H) = 1/nu = 4 of a branched random walk to that of the polymerized E(infinity) space namely [dim(H) b(infinity)] = 4 + phi (3) = 4236067. Relation to the Josephson nud = 2 - alpha and related scaling are also discussed: (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:1557 / 1561
页数:5
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