Simulation of bosonized lattice fermion theories

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Abstract
A method is described for converting a fermionic lattice theory into an equivalent Ising-type system which may conveniently be simulated by standard Monte Carlo heat-bath techniques. Fluctuations in physical quantities such as chiral expectation values are found to be controlled. The method is applied to Dirac theory in two space, one time dimensions and excellent agreement is obtained with analytic lattice results.