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

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 $16^3times 48$ 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.