Stochastic Calculus and Anticommuting Variables
نویسنده
چکیده
A theory of integration for anticommuting paths is described. This is combined with standard Itô calculus to give a geometric theory of Brownian paths on curved supermanifolds. This lecture concerns a generalisation of Brownian motion and Itô calculus to include paths in spaces of anticommuting variables. The motivation for this work comes originally from physics, where anticommuting variables were first introduced by Martin [7] in order to extend Feynman’s path integral methods to Fermionic systems. Subsequently various geometric applications ∗Research supported by a Royal Society University Research Fellowship
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ar X iv : h ep - t h / 92 10 13 5 v 2 2 8 O ct 1 99 2 Anticommuting Variables , Fermionic Path Integrals and Supersymmetry Lectures given at the XXVIII Karpacz Winter
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تاریخ انتشار 1994