Journal
PHYSICAL REVIEW D
Volume 84, Issue 7, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.84.071502
Keywords
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Funding
- FCT [SFRH/BPD/40998/2007, PTDC/FIS/100968/2008]
- U.S. DOE [DE-FC02-06ER41440, DE-FC02-06ER41449, DE-AC05-060R23177]
- NSF [PHY-0835713, OCI-1060067]
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We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian H but conserve exactly a nearby shadow Hamiltonian (H) over tilde. This property allows for a new tuning method of the molecular dynamics integrator and also allows for a new class of integrators (force-gradient integrators) which is expected to reduce significantly the computational cost of future large-scale gauge field ensemble generation.
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