Abstract
We discuss the possible extension of the bosonic classical field theory simulations to include fermions. This problem has been addressed in terms of the inhomogeneous mean-field approximation by Aarts and Smit. By performing a stochastic integration of an equivalent set of equations we can extend the original $1+1$ dimensional calculations so that they become feasible in higher dimensions. We test the scheme in $2+1$ dimensions and discuss some classical applications with fermions for the first time, such as the decay of oscillons.
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