# SU(3) lattice gauge autocorrelations with anisotropic action

## TL;DR

This paper investigates autocorrelation times in SU(3) lattice gauge theory using anisotropic lattices and optimized algorithms, demonstrating efficient configuration generation on smaller lattices with improved accuracy for noisy correlators.

## Contribution

It introduces an analysis of autocorrelation times with anisotropic actions and optimized mixing ratios, using tadpole-improved Wilson actions on smaller lattices for better efficiency.

## Key findings

- Optimized mixing ratios improve gauge configuration generation.
- Anisotropic lattices help in calculating noisy correlation functions.
- Smaller lattices with improved actions are effective for autocorrelation studies.

## Abstract

We report results of autocorrelation measurements in pure $SU(3)$ lattice gauge theory. The computations are performed on the {\sc convex spp1200} parallel platform within the {\sc canopy} programming environment. The focus of our analysis is on typical autocorrelation times and optimization of the mixing ratio between overrelaxation and pseudo-heatbath sweeps for generating gauge field configurations. We study second order tadpole-improved approximations of the Wilson action in the gluon sector, which offers the advantage of working on smaller lattices ($8^3~\times~16$ and $6^3~\times$~12~--~30). We also make use of anisotropic lattices, with temporal lattice spacing smaller than the spatial spacing, which prove useful for calculating noisy correlation functions with large spatial lattice discretization (of the order of 0.4 fm).