%0 Journal Article %1 Sexton:1992nu %A Sexton, J. C. %A Weingarten, D. H. %D 1992 %J Nucl. Phys. %K HMC Improvement QCD %P 665-678 %R 10.1016/0550-3213(92)90263-B %T Hamiltonian evolution for the hybrid Monte Carlo algorithm %U http://www.slac.stanford.edu/spires/find/hep/www?j=NUPHA,B380,665 %V B380 %X 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.

@article{Sexton:1992nu, 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.}, added-at = {2009-10-19T17:50:45.000+0200}, author = {Sexton, J. C. and Weingarten, D. H.}, biburl = {https://www.bibsonomy.org/bibtex/21017fe30a0fccacb50df8987a7dc0d4d/gber}, description = {SPIRES-HEP: FIND J NUPHA,B380,665}, doi = {10.1016/0550-3213(92)90263-B}, interhash = {ce8b0e2e8b38bad6cf62fa585769f787}, intrahash = {1017fe30a0fccacb50df8987a7dc0d4d}, journal = {Nucl. Phys.}, keywords = {HMC Improvement QCD}, pages = {665-678}, slaccitation = {%%CITATION = NUPHA,B380,665;%%}, timestamp = {2009-10-19T17:50:45.000+0200}, title = {{Hamiltonian evolution for the hybrid Monte Carlo algorithm}}, url = {http://www.slac.stanford.edu/spires/find/hep/www?j=NUPHA,B380,665}, volume = {B380}, year = 1992 }