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Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives

Hagen Kleinert·Sergei V. Shabanov
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Abstract

A supersymmetric path integral representation is developed for stochastic processes whose Langevin equation contains any number N of time derivatives, thus generalizing the Langevin equation with inertia studied by Kramers, where N=2. The supersymmetric action contains N fermion fields with first-order time derivatives whose path integral is evaluated for fermionless asymptotic states.

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Hagen Kleinert, Sergei V. Shabanov. 1997-05-24. Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives. https://doi.org/10.1016/s0375-9601(97)00660-9

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