HMC algorithm with multiple time scale integration and mass preconditioning

TL;DR

This paper introduces a variant of the Hybrid Monte Carlo (HMC) algorithm that incorporates mass preconditioning and multiple time scale integration, demonstrating comparable performance to existing methods for Wilson fermions.

Contribution

The paper presents a new HMC algorithm variant with mass preconditioning and multiple time scale integration, applicable to various lattice Dirac operators.

Findings

Performance comparable to domain decomposition preconditioned HMC.

Effective for Wilson fermions at various pion masses.

Straightforward implementation and versatile application.

Abstract

We present a variant of the HMC algorithm with mass preconditioning (Hasenbusch acceleration) and multiple time scale integration. We have tested this variant for standard Wilson fermions at beta=5.6 and at pion masses ranging from 380 MeV to 680 MeV. We show that in this situation its performance is comparable to the recently proposed HMC variant with domain decomposition as preconditioner. We give an update of the ``Berlin Wall'' figure, comparing the performance of our variant of the HMC algorithm to other published performance data. Advantages of the HMC algorithm with mass preconditioning and multiple time scale integration are that it is straightforward to implement and can be used in combination with a wide variety of lattice Dirac operators.