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Stochastic quantization, associated supersymmetry and Nicolai map

  • Jnanadeva Maharana
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 208)

Abstract

In these lectures we present an introduction to the method of stochastic quantization due to Parisi and Wu and demonstrate the equivalence between stochastic and canonical methods of quantization in perturbation theory using the techniques due to Floratos and Iliopoulos. The lower critical dimension of spin systems with and without Gaussian random fields is discussed to illustrate the underlying supersymmetry of the system associated with stochastic differential equations. The Nicolai map is constructed for a simple model and its interpretation as a stochastic evolution equation is envisaged in a supersymmetric quantum mechanical model. The constraints on supersymmetry breaking, the Witten index and conjugation operations are discussed with some simple examples. The appendix contains relevant definitions and formulas of stochastic processes.

Keywords

Spin System Supersymmetry Breaking Langevin Equation Supersymmetric Theory Witten Index 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Jnanadeva Maharana
    • 1
  1. 1.Institute of PhysicsBhubaneswarIndia

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