HMC algorithm with multiple time scale integration and mass preconditioning

TL;DR

This paper introduces a new Hybrid Monte Carlo (HMC) algorithm variant with multiple time scale integration and mass preconditioning, demonstrating its effectiveness for simulations at lower pseudo scalar masses around 300 MeV.

Contribution

The paper presents a novel HMC algorithm variant that improves simulation feasibility at lower pseudo scalar masses, extending previous results and testing for meta-stabilities.

Findings

Simulations at 300 MeV pseudo scalar mass are feasible with the new HMC variant.

Preliminary results confirm the efficiency of the algorithm at lower masses.

Meta-stability tests show no significant issues at the tested mass.

Abstract

We describe a new HMC algorithm variant we have recently introduced and extend the published results by preliminary results of a simulation with a pseudo scalar mass value of about 300 MeV. This new run confirms our expectation that simulations with such pseudo scalar mass values become feasible and affordable with our HMC variant. In addition we discuss simulations from hot and cold starts at a pseudo scalar mass value of about 300 MeV, which we performed in order to test for possible meta-stabilities.