On the spectra of scalar mesons from HQCD models

TL;DR

This paper calculates the spectra of scalar mesons in various holographic QCD models, revealing dependencies on quark mass and temperature, and identifying a non-physical spectral branch.

Contribution

It extends holographic QCD models to include scalar meson spectra, analyzing their temperature dependence and identifying a non-physical spectral branch.

Findings

Scalar meson masses depend on quark mass and excitation number.

At high temperature, meson masses decrease with increasing temperature.

A non-physical 0^{--} spectral branch is identified.

Abstract

We determine the holographic spectra of scalar mesons from the fluctuations of the embedding of flavor D-brane probes in HQCD models. The models we consider include a generalization of the Sakai Sugimoto model at zero temperature and at the "high-temperature intermediate phase", where the system is in a deconfining phase while admitting chiral symmetry breaking and a non-critical 6d model at zero temperature. All these models are based on backgrounds associated with near extremal N_c D4 branes and a set of N_f<<N_c flavor probe branes that admit geometrical chiral symmetry breaking. We point out that the spectra of these models include a 0^{--} branch which does not show up in nature. At zero temperature we found that the masses of the mesons M_n depend on the "constituent quark mass" parameter m^c_q and on the excitation number n as M_n^2 m^c_q and M^2_n n^{1.7} for the ten dimensional case and as M_n m^c_q and M_n n^{0.75} in the non-critical case. At the high temperature intermediate phase we detect a decrease of the masses of low spin mesons as a function of the temperature similar to holographic vector mesons and to lattice calculations.