A New Approach to eta' on the Lattice

TL;DR

This paper presents a lattice QCD study of the eta' meson mass using advanced stochastic and spectral techniques on multiple gauge configurations, achieving early plateau formation in mass extraction.

Contribution

It introduces a novel approach combining stochastic estimators and spectral methods to improve eta' mass determination in lattice QCD.

Findings

Early plateau formation in eta' mass extraction achieved.

Effective use of spectral methods for disconnected correlator analysis.

Consistent eta' mass results across different lattice sizes.

Abstract

We perform an eta' mass analysis based on a total of 1130 dynamical gauge field configurations, with 5 different quark mass values on lattices of size 16^3*32 (SESAM) and 24^3*40 (TkL) at beta = 5.6. We employ the stochastic estimator technique and spectral methods to deal with the disconnected piece of the flavour singlet correlation function. We demonstrate that very early plateau formation in the local eta' mass can be achieved by first ground state projecting the connected piece of its correlator.