Accelerating the Hybrid Monte Carlo algorithm

A. Ali Khan; A. Sch\"afer; D. Pleiter; G. Schierholz; H. St\"uben (the QCDSF Collaboration); M. G\"ockeler; P. Rakow; R. Horsley; T. Bakeyev

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Accelerating the Hybrid Monte Carlo algorithm

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arxiv hep-lat/0303026 v1 pith:UHQ6ABCL submitted 2003-03-28 hep-lat

A. Ali Khan , T. Bakeyev , M. Göckeler , R. Horsley , D. Pleiter , P. Rakow , A. Schäfer , G. Schierholz

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H. Stüben (the QCDSF Collaboration)

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keywords algorithmcarlofermionshybridmontesimulationsacceleratingaction

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An algorithm for separating the high- and low-frequency molecular dynamics modes in Hybrid Monte Carlo simulations of gauge theories with dynamical fermions is presented. The separation is based on splitting the pseudo-fermion action into two parts, as was initially proposed by Hasenbusch. We propose to introduce different evolution time-scales for each part. We test our proposal in realistic simulations of two-flavor O(a) improved Wilson fermions. A speed-up of more than a factor of three compared to the standard HMC algorithm is observed in a typical run.

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