Supersymmetry in stochastic field equations and in high energy physics

Abstract

We start from the purely dissipative Langevin equation and the corresponding Fokker-Planck equation. The corresponding field theory is supersymmetric. This symmetry yields the fluctuation-dissipation theorem. The formulation has much in common with supersymmetry in high energy physics. In both theories, anticommuting coordinates are introduced in addition to the commuting coordinates.