Abstract

We introduce a Langevin equation approach to the analysis of fermionic theories. We find a Langevin type equation, depending on a parameter τ, such that its equilibrium distributions are those of the original fermionic system in the limit of τ going to zero. We explicitly treat a simple example, proving the exactness of the method in the limit τ → 0, and we estimate the error induced by the method at first order in τ.

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