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

TL;DR

This paper demonstrates that applying the UV-filtering preconditioner to the Polynomial Hybrid Monte Carlo algorithm significantly reduces computational force and improves efficiency, especially when combined with multi-time scale integrators.

Contribution

It introduces the application of the UV-filtering preconditioner to the Polynomial Hybrid Monte Carlo algorithm, showing performance improvements in lattice QCD simulations.

Findings

UV-filtering reduces pseudo fermion force magnitude by a factor of 3.

Combining UV-filtering with multi-time scale integrator doubles efficiency.

Performance tested on specific lattice gauge actions at given parameters.

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.