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We present a simple recursive iteration of the leapfrog discretization of Newton's equations which leads to a removal of the finite-step-size error to any desired order. This is done in a manner that preserves phase-space areas and reversibility, as required for use in the hybrid Monte Carlo method for simulating fermionic fields. The resulting asymptotic volume dependence is exp (lnV) ^1/2. We test the scheme on the (2+1) -dimensional Hubbard model.
Creutz et al. (Mon,) studied this question.
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