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We discuss the possible extension of the bosonic classical field theorysimulations to include fermions. This problem has been addressed in terms ofthe inhomogeneous mean field approximation by Aarts and Smit. By performing astochastic integration of an equivalent set of equations we can extend theoriginal 1+1 dimensional calculations so that they become feasible in higherdimensions. We test the scheme in 2 + 1 dimensions and discuss some classicalapplications with fermions for the first time, such as the decay of oscillons.

Low-cost fermions in classical field simulations