A novel algorithm for computing quark propagators for lattice hadron spectroscopy

TL;DR

This paper introduces a new stochastic LapH algorithm for computing quark propagators in lattice QCD, enabling improved analysis of hadron excitation spectra across multiple isospin channels.

Contribution

The paper presents a novel stochastic LapH algorithm and its application to compute quark propagators for lattice hadron spectroscopy, including a new glueball operator for isospin-0.

Findings

Successful computation of excitation spectra in multiple isospin channels

Inclusion of a new glueball operator enhances analysis of isospin-0 channel

Feasibility demonstrated for larger lattice calculations

Abstract

We report on our progress in computing the excitation spectrum in Lattice QCD. We focus on the isospin 0, 1 and 2 channels using the stochastic LapH algorithm for the quark propagators. For the isospin-0 channel, a new glueball operator constructed from the stochastic LapH operator is included in the variational basis along with the isoscalar meson and pi-pi operators. A representative signal for each channel is presented and the feasibility of extending the calculations to larger lattices is discussed.