Publication
Nuclear Physics, Section B
Paper

Hamiltonian evolution for the hybrid Monte Carlo algorithm

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Abstract

We discuss a class of reversible, discrete approximations to Hamilton's equations for use in the hybrid Monte Carlo algorithm and derive an asymptotic formula for the step-size-dependent errors arising from this family of approximations. For lattice QCD with Wilson fermions, we construct several different updates in which the effect of fermion vacuum polarization is given a longer time step than the gauge field's self-interaction. On a 44 lattice, one of these algorithms with an optimal choice of step size is 30% to 40% faster than the standard leapfrog update with an optimal step size. © 1992.

Date

10 Aug 1992

Publication

Nuclear Physics, Section B

Authors

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