Random magnetic fields, supersymmetry, and negative dimensions

G. Parisi; N. Sourlas

doi:10.1103/PhysRevLett.43.744

Random magnetic fields, supersymmetry, and negative dimensions

G. Parisi^*
, N. Sourlas

^*此作品的通讯作者

National Institute for Nuclear Physics
École Normale Supérieure

科研成果: 期刊稿件 › 文章 › 同行评审

804 引用（Scopus）

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.

源语言	英语
页（从-至）	744-745
页数	2
期刊	Physical Review Letters
卷	43
期	11
DOI	https://doi.org/10.1103/PhysRevLett.43.744
出版状态	已出版 - 1979
已对外发布	是

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Random magnetic fields, supersymmetry, and negative dimensions

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