Effective Chiral Symmetry Restoration for Heavy-Light Mesons
V. K. Sazonov, G. Schaffernak, R. F. Wagenbrunn
TL;DR
This paper investigates the spectrum of heavy-light mesons using a confining potential model, demonstrating effective chiral and $U(1)_A$ symmetry restoration at high spins through numerical solutions of the Bethe-Salpeter equation.
Contribution
It introduces a model combining the Schwinger-Dyson and Bethe-Salpeter equations to analyze chiral symmetry restoration in heavy-light mesons at large spins.
Findings
Chiral and $U(1)_A$ symmetries are effectively restored at high angular momentum.
Numerical solutions show symmetry restoration in the meson spectrum.
The model captures key features of heavy-light meson dynamics.
Abstract
We study the spectrum of heavy-light mesons within a model with linear instantaneous confining potential. The single-quark Green function and spontaneous breaking of chiral symmetry are obtained from the Schwinger-Dyson (gap) equation. For the meson spectrum we derive a Bethe-Salpeter equation (BSE). We solve thiss equation numerically in the heavy-light limit and obtain effective restoration of chiral and symmetries at large spins.
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