Holographic 1/Nc correction from the chiral condensate

TL;DR

This paper explores how including the gravitational backreaction of the chiral condensate in a holographic model affects meson spectra and quarkonium binding energies, providing more accurate predictions aligned with experimental data.

Contribution

It introduces a gravity solution with $1/N_c$ correction from the chiral condensate and demonstrates its impact on meson spectra and heavy quarkonium properties.

Findings

Improved lightest meson mass predictions.

Chiral condensate influences heavy quarkonium binding energy.

Numerical dual geometry construction confirms the $1/N_c$ correction effects.

Abstract

We investigate a gravity solution containing the gravitational backreaction of the massive scalar field dual to the chiral condensate, which corresponds to $1/N_c$ correction. In general, condensation changes the vacuum structure, so the present dual geometry is appropriate to describe the chiral condensate vacuum in the gauge theory side. After constructing the dual geometry numerically and applying the hard wall model we study the effect of the $1/N_c$ correction on the lightest meson spectra, which improves the values for lightest meson masses into the observations. In addition, we investigate the chiral condensate dependence the binding energy of heavy quarkonium.