On holographic relation between radial meson trajectories and deconfinement temperature

TL;DR

This paper explores how the deconfinement temperature in QCD relates to the spectrum of mesons and glueballs using holographic models, revealing constraints on particle spectra and supporting the scalar meson $f_0(1500)$ as a glueball.

Contribution

It demonstrates that lattice data on deconfinement temperature constrains the excited meson and glueball spectra in holographic QCD models, with implications for identifying the lightest glueball.

Findings

Lattice data restricts meson and glueball spectra in holographic models.

Best fit occurs when $f_0(1500)$ is considered as the lightest glueball.

Holographic approach links deconfinement temperature to hadron spectrum.

Abstract

The interrelation between the deconfinement temperature of hadron medium and parameters of radial Regge trajectories within the bottom-up holographic models for QCD is scrutinized. We show that the lattice data on the deconfinement temperature can yield a powerful restriction on the spectrum of excited mesons and glueballs within the framework of holographic approach. The best phenomenological agreement and theoretical self-consistency are achieved if the scalar meson $f_0(1500)$ is considered as the lightest glueball.