Low-cost fermions in classical field simulations

Understand

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.