Parity-expanded variational analysis for non-zero momentum

TL;DR

This paper introduces the Parity-Expanded Variational Analysis (PEVA) technique, a new method in lattice QCD to accurately isolate boosted baryon states by expanding the operator basis to address parity-mixing issues.

Contribution

The paper presents PEVA, a novel variational analysis method that improves the isolation of boosted baryons in lattice QCD by expanding the operator basis for better parity control.

Findings

PEVA effectively isolates boosted baryon states.

It addresses parity-mixing issues in variational analysis.

Enhanced accuracy in studying hadron spectra at non-zero momentum.

Abstract

In recent years, the use of variational analysis techniques in lattice QCD has been demonstrated to be successful in the investigation of the rest-mass spectrum of many hadrons. However, due to parity-mixing, more care must be taken for investigations of boosted states to ensure that the projected correlation functions provided by the variational analysis correspond to the same states at zero momentum. In this paper we present the Parity-Expanded Variational Analysis (PEVA) technique, a novel method for ensuring the successful and consistent isolation of boosted baryons through a parity expansion of the operator basis used to construct the correlation matrix.