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Stochastic quantization, supersymmetry and the Nicolai map

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Abstract

We present a formulation of the method of stochastic quantization of Parisi and W that reveals its intimate connection with supersymmetry. The crucial ingredient of this analysis is the Nicolai map. By using supersymmetric Ward identities, we derive relations between two Fokker-Planck-type Hamiltonians which arise naturally in this formalism.

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References

  1. Parisi, G. and Wu, Y., Sci. Sinica 24, 483 (1981).

    Google Scholar 

  2. Fucito, F., Marinari, E., Parisi, G., and Rebbi, C., Nucl. Phys. B180, 369 (1981); Parisi, G., Nucl. Phys. B180, 378 (1981); Fucito, F. and Marinari, E., Nucl. Phys. B190, 31 (1981).

    Google Scholar 

  3. Damgaard, P.H. and Tsokos, K., Nucl. Phys. B235 [FS11], 75 (1984).

    Google Scholar 

  4. Breit, J.D., Gupta, S., and Zaks, A., Nucl. Phys. B233, 61 (1984).

    Google Scholar 

  5. Parisi, G. and Sourlas, N., Phys. Rev. Lett. 43, 744, 1364 (1979).

    Google Scholar 

  6. Parisi, G. and Sourlas, N., Nucl. Phys. B206, 321 (1983); Cecotti, S. and Girardello, L., Ann. Phys. 145, 81 (1983); Gozzi, E., City College preprint 83/16.

    Google Scholar 

  7. Nicolai, H., Phys. Lett. 89B, 341 (1980); Nucl. Phys. B176, 419 (1980).

    Google Scholar 

  8. Witten, E., Nucl. Phys. B188, 513 (1981); Bender, C., Cooper, F., and Freedman, F., Nucl. Phys. B219, 61 (1983).

    Google Scholar 

  9. Hawking, S., Comm. Math. Phys. 55, 133 (1977).

    Google Scholar 

  10. Whittaker, E.T. and Watson, G.N., A Course in Modern Analysis, Cambridge University Press, 1967.

  11. Cecotti, S. and Girardello, L., Phys. Lett. 110B, 509 (1982).

    Google Scholar 

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Authors and Affiliations

  1. NORDITA, Blegdamsvej 17, DK-2100, Copenhagen ϕ, Denmark

    P. H. Damgaard

  2. Department of Physics, University of Maryland, 20742, College Park, MD, USA

    K. Tsokos

Authors
  1. P. H. Damgaard
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  2. K. Tsokos
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Damgaard, P.H., Tsokos, K. Stochastic quantization, supersymmetry and the Nicolai map. Lett Math Phys 8, 535–540 (1984). https://doi.org/10.1007/BF00400984

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  • DOI: https://doi.org/10.1007/BF00400984

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