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Is there a finite-difference field simulator for spin 1/2 fields, something like meep for electromagnetism (spin 1)? Looking for something free (GNU, MIT or other open/free style license) and easy to set up and run simulations for educational purposes, not a heavy research tool.

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My weak little experimentalist brain is failing to think of an example of a fermionic field... – dmckee♦ Oct 4 '11 at 23:37
It's not you, @dmckee, it's nature. – wsc Oct 5 '11 at 1:13
@dmckee: I'd consider anything described by a quantum field theory to be a field. Sure e.g. the electron/positron field has some different properties than the E&M field, but I don't see why it shouldn't be called a field. As for finite-difference field simulators, wouldn't lattice QCD or QED simulations count? – wnoise Oct 5 '11 at 5:58
yeah, but the problem is that finite difference methods are fine for solving the equations of motion of a classical field, but quantum fields are like, operator-valued distributions or some such nonsense. Lattice QCD or QED calculations are done by Monte Carlo sampling, and fermions generically have a sign problem. – wsc Oct 5 '11 at 15:51

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