RANDOM MAGNETIC-FIELDS, SUPERSYMMETRY, AND NEGATIVE DIMENSIONS

被引:799
作者
PARISI, G [1 ]
SOURLAS, N [1 ]
机构
[1] ECOLE NORM SUPER,PHYS THEOR LAB,F-75231 PARIS 5,FRANCE
关键词
D O I
10.1103/PhysRevLett.43.744
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove the equivalence, near the critical point, of a D-dimensional spin system in a random external magnetic field with a (D-2)-dimensional spin system in the absence of a magnetic field. This is due to the hidden supersymmetry of the associated stochastic differential equation. We identify a space with one anticommuting coordinate with a space having negative dimensions -2. © 1983 The American Physical Society.
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页码:744 / 745
页数:2
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