Chiral symmetry restoration in static-light mesons: chiral restoration theorem, the quark running mass m(k) and first chiral restoration signals in the lattice QCD spectra

TL;DR

This paper investigates chiral symmetry restoration in static-light mesons, linking it to the dynamical quark mass and analyzing lattice QCD spectra to identify signals of chiral symmetry restoration at high energies.

Contribution

It refines a theorem connecting chiral symmetry restoration to the quark mass function specifically for static-light mesons, combining model computations and lattice QCD data.

Findings

Identification of chiral restoration signals in lattice spectra

Relation between quark running mass m(k) and chiral symmetry restoration

Refinement of the theoretical theorem for static-light mesons

Abstract

Chiral symmetry restoration high in the hadron spectra is expected but it remains to be confirmed both in lattice QCD computations and in experiments. Recently, a theorem was derived, relating chiral symmetry restoration high in the hadron spectra to the spontaneous generation of the dynamical quark mass in QCD. We refine the theorem in the case of static-light mesons. Utilizing chiral quark model computations and lattice QCD results for the spectrum of mesons composed by a static antiquark and a light quark, we explore chiral symmetry restoration in the spectrum and the quark running mass m(k).