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

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

2011-08-08

arxiv.org/abs/1108.1828v2

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 1 figure; minor changes

Scientific paper

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 $\tilde{H}$. 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.

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