Measure of Autocorrelation Times of Local Hybrid Monte Carlo Algorithm for Lattice QCD

TL;DR

This paper investigates the autocorrelation times of a local Hybrid Monte Carlo algorithm for lattice QCD, demonstrating its efficiency over traditional methods through comparative measurements on different lattice sizes.

Contribution

It provides the first detailed comparison of autocorrelation times between local HMC, global HMC, and Metropolis algorithms for pure gauge SU(3) lattice QCD.

Findings

LHMC has significantly shorter autocorrelation times than other algorithms.

Autocorrelation times vary with different observables and lattice sizes.

The study offers insights into algorithm efficiency for lattice QCD simulations.

Abstract

We report on a study of the autocorrelation times of the local version of the Hybrid Monte Carlo (LHMC) algorithm for pure gauge $SU(3)$. We compare LHMC to standard multi-hit Metropolis and to the global version of the same HMC. For every algorithm we measure the autocorrelation time for a variety of observables and the string tension as a function of beta. The measurements performed on 8^4 and 16^4 lattices indicate that the autocorrelation time of LHMC is significantly shorter than for the other two algorithms.