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

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 $\beta =5.2,c_{\mathrm{sw}}=2.02,M_{\pi }/M_{\rho }\sim 0.8$ 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.

Comments: 7 pages, 1 figure, talk presented at Lattice2006 (Algorithm), PoS format; v2 references added