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Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

Authors: M. A. Clark, Bálint Joó, A. D. Kennedy, P. J. Silva

Ref.: Phys. Rev. D 84, 071502(R) (2011)

Abstract: 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 $ ilde{H}$. 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.

URL: prd.aps.org