Anticommuting Variables , Fermionic Path Integrals and Supersymmetry Lectures given at the XXVIII Karpacz Winter School of Theoretical Physics , Poland 1992 KCL-TH-92-5

Abstract

Fermionic Brownian paths are defined as paths in a space parametrised by anticommuting variables. Stochastic calculus for these paths, in conjunction with classical Brownian paths, is described; Brownian paths on supermanifolds are developed and applied to establish a Feynman-Kac formula for the twisted Laplace-Beltrami operator on differential forms taking… (More)

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