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An application of the UV-filtering preconditioner to the Polynomial Hybrid Monte Carlo algorithm

CS Collaboration·K-I. Ishikawa·S. Aoki·T. Ishikawa·N. Ishizuka·K. Kanaya·Y. Kuramashi·M. Okawa·Y. Taniguchi·A. Ukawa·T. Yoshie
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Abstract

We apply the UV-filtering preconditioner, previously used to improve the Multi-Boson algorithm, to the Polynomial Hybrid Monte Carlo (UV-PHMC) algorithm. The performance test for the algorithm is given for the plaquette gauge action and the $O(a)$-improved Wilson action at $β=5.2, c_{\mathrm{sw}}=2.02, M_π/M_ρ\sim 0.8$ and 0.7 on a $16^3\times 48$ lattice. We find that the UV-filtering reduces the magnitude of the molecular dynamics force from the pseudo fermion by a factor 3 by tuning the UV-filter parameter. Combining with the multi-time scale molecular dynamics integrator we achieve a factor 2 improvement.

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CS Collaboration, K-I. Ishikawa, S. Aoki, T. Ishikawa, N. Ishizuka, K. Kanaya, Y. Kuramashi, M. Okawa, Y. Taniguchi, A. Ukawa, T. Yoshie. 2006-10-11. An application of the UV-filtering preconditioner to the Polynomial Hybrid Monte Carlo algorithm. https://arxiv.org/abs/hep-lat/0610037

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