Work

Random Magnetic Fields, Supersymmetry, and Negative Dimensions

Year: 1979

Type: article

Abstract: We prove the equivalence, near the critical point, of a $D$-dimensional spin system in a random external magnetic field with a ($D\ensuremath{-}2$)-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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.43.744

Authors: G. Parisi, N. Sourlas

Institutions: Istituto Nazionale di Fisica Nucleare, Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di Frascati, École Normale Supérieure - PSL

Language: English

Topic: Theoretical and Computational Physics

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2070101293

FWCI: 9.694

Cites: 15

Cited by: 897

Related to: 9