More effects of Dirac low-mode removal

TL;DR

This paper explores the effects of removing low-lying Dirac eigenmodes on various aspects of QCD, including locality, quark momenta, and hadron spectrum, and introduces a reweighting scheme for sea quarks.

Contribution

It investigates the impact of low-mode removal on the Dirac operator's locality, quark momenta, and hadron spectrum, and proposes a reweighting method for sea quark effects.

Findings

Low-mode removal affects the locality of the Dirac operator.

Truncation influences quark momenta and hadron spectrum.

A reweighting scheme extends low-mode effects to sea quarks.

Abstract

In previous studies we have shown that hadrons, except for a pion, survive the removal of the lowest lying Dirac eigenmodes from the valence quark propagators. The low-modes are tied to the dynamical breaking of chiral symmetry and we found chiral symmetry to be restored by means of matching masses of chiral partners, like, e.g., the vector and axial vector currents. Here we investigate the influence of removing the lowest part of the Dirac spectrum on the locality of the Dirac operator. Moreover, we analyze the influence of low-mode truncation on the quark momenta and thereupon on the hadron spectrum and, finally, introduce a reweighting scheme to extend the truncation to the sea quark sector.