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Quantum Probability and Applications II pp 306–317Cite as

Supersymmetry and a two-dimensional reduction in random phenomena

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1136))

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References

  1. G. Parisi and N. Sourlas, Random magnetic fields, supersymmetry, and negative dimensions. Phys. Rev. Lett. 43, 744–745 (1979).

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  2. F. Wegner, Exact density of states for lowest Landau level in white noise potential, superfield representation for interacting systems. Z. Phys. B51, 279–285 (1983).

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  3. E. Brezin, D. Gross and C. Itzykson, Density of states in the presence of a strong magnetic field and random impurities. Nucl. Phys. B235 [FS11], 24–44 (1984).

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  4. A. Klein, L. J. Landau and J. F. Perez, Supersymmetry and the Parisi-Sourlas dimensional reduction: a rigorous proof. Comm. Math. Math. Phys. 94, 459–482 (1984).

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  5. A. Klein and J. F. Perez, On the density of states for random potentials in the presence of a uniform magnetic field, Nucl. Phys. B251 [FS13], 199–211 (1985).

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  6. F. A. Berezin, The method of second quantization. Academic Press, New York, 1966.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 92717, Irvine, California, U.S.A.

    Abel Klein

Authors
  1. Abel Klein
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Luigi Accardi Wilhelm von Waldenfels

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© 1985 Springer-Verlag

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Klein, A. (1985). Supersymmetry and a two-dimensional reduction in random phenomena. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications II. Lecture Notes in Mathematics, vol 1136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074481

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  • DOI: https://doi.org/10.1007/BFb0074481

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15661-1

  • Online ISBN: 978-3-540-39570-6

  • eBook Packages: Springer Book Archive

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