Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields

TL;DR

This paper introduces an improved RHMC algorithm utilizing multiple pseudofermion fields with root kernels to reduce computational costs in lattice QCD simulations, especially at low quark masses.

Contribution

The paper presents a novel RHMC approach with multiple pseudofermion fields and root kernels, enhancing efficiency over existing methods in lattice QCD computations.

Findings

The new method is competitive with recent algorithms.

It reduces computational costs at small quark masses.

Performance improvements are demonstrated through comparisons.

Abstract

There has been much recent progress in the understanding and reduction of the computational cost of the Hybrid Monte Carlo algorithm for Lattice QCD as the quark mass parameter is reduced. In this letter we present a new solution to this problem, where we represent the fermionic determinant using (n) pseudofermion fields, each with an (\nth) root kernel. We implement this within the framework of the Rational Hybrid Monte Carlo (RHMC) algorithm. We compare this algorithm with other recent methods in this area and find it is competitive with them.