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Random Magnetic Fields, Supersymmetry, and Negative Dimensions
Open accessAbstract
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.
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Edwards, S. F., & Anderson, P. W. (1975) · Journal of Physics F: Metal Physics · doi:10.1088/0305-4608/5/5/017 · Cited by 3,991
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Halpin-Healy, T., & Zhang, Y.-C. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00087-j · Cited by 1,443
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Efetov, K. B. (1983) · Advances in Physics · doi:10.1080/00018738300101531 · Cited by 1,249
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Hořava, P. (2009) · Journal of High Energy Physics · doi:10.1088/1126-6708/2009/03/020 · Cited by 731
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Metadata
- Authors
- Parisi, G., & Sourlas, N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1979-09-10
- Volume
- 43
- Issue
- 11
- Pages
- 744-745
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2070101293
- Cited by
- 898
- References
- 1
- FWCI
- 10.99
- Type
- journal article
- Language
- en
- Open access
- green
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