Polynomial filtered HMC - An algorithm for lattice QCD with dynamical quarks

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2012

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Kamleh, W.
Peardon, M.

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Computer Physics Communications, 2012; 183(9):1993-2000

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Waseem Kamleh, Mike Peardon

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Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in Hybrid Monte Carlo (HMC) simulations. The use of a multiple time-scale integration scheme then allows the filtered pseudofermions to be evolved using a coarse step size. The algorithm is applied to <sup>Nf</sup>=2 flavour simulations at two different quark masses. Polynomial filtering yields a reduction in the computational expense of the molecular dynamics integration of between three- and fivefold when compared to standard HMC. Significantly, the observed speedup is better at the lower quark mass. © 2012 Elsevier B.V. All rights reserved.

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Crown Copyright © 2012 Published by Elsevier B.V. All rights reserved.

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