Group-theoretical construction of finite-momentum and multi-particle operators for lattice hadron spectroscopy

TL;DR

This paper presents a group-theoretical method for constructing multi-hadron operators with specific momentum properties, enhancing the analysis of lattice hadron spectra in Monte Carlo simulations.

Contribution

It introduces a systematic procedure for building multi-hadron interpolators that transform irreducibly under lattice symmetries, improving spectral analysis accuracy.

Findings

Constructed multi-hadron operators with desired symmetry properties

Enhanced interpretation of lattice simulation data

Identified optimal single-hadron interpolators for non-zero momenta

Abstract

Determining the spectrum of hadronic excitations from Monte Carlo simulations requires the use of interpolating operators that couple to multi-particle states. Recent algorithmic advances have made the inclusion of multi-hadron operators in spectroscopy calculations a practical reality. In this talk, a procedure for constructing a set of multi-hadron interpolators that project onto the states of interest is described. To aid in the interpretation of simulation data, operators are designed to transform irreducibly under the lattice symmetry group. The identification of a set of optimal single-hadron interpolators for states with non-zero momenta is an essential intermediate step in this analysis.