Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks

Details Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks

2011-06-28

arxiv.org/abs/1106.5625v1

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 7 figures

Scientific paper

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be evolved using a coarse step size. We introduce a novel generalisation of the nested leapfrog which allows for far greater flexibility in the choice of time scales. We observe a reduction in the computational expense of the molecular dynamics integration of between 3--5 which improves as the quark mass decreases.

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