Multi-hadron operators with all-to-all quark propagators

TL;DR

This paper investigates the use of noise-diluted all-to-all quark propagators to construct explicit multi-hadron operators, aiming to improve hadron spectroscopy on large, dynamical lattice configurations.

Contribution

It demonstrates the feasibility of using noise-diluted all-to-all propagators for multi-hadron operator construction in lattice QCD simulations.

Findings

Feasibility of using noise-diluted all-to-all propagators shown.

Potential for improved multi-hadron state overlap.

Application to large anisotropic dynamical lattices planned.

Abstract

Hadron spectroscopy on dynamical configurations are faced with the difficulties of dealing with the mixing of single particle states and multi-hadron states (for large spatial volumes and light dynamical quarks masses). It is conceivable that explicit multi-hadron interpolating operators will be necessary for obtaining sufficiently good overlap onto multi-hadron states in order to extract the low-lying excitation spectrum. We explore here the feasibility of using four noise diluted all-to-all quark propagators in the construction of explicit two-hadron operators on quenched, anisotropic lattices. Our longer term goal is to use these operators on large anisotropic, dynamical configurations for hadron spectroscopy.