# Mesons in a soft-wall AdS-Schwarzschild approach at low temperature

## TL;DR

This paper develops a holographic soft-wall model in AdS-Schwarzschild space to analyze meson properties at low temperatures, providing analytical and numerical insights into temperature effects on meson spectra and form factors.

## Contribution

It introduces a novel holographic approach for mesons at finite temperature, deriving analytical expressions for mass spectra and temperature corrections in a soft-wall model.

## Key findings

- Derived analytical expressions for meson mass spectra at low temperature.
- Quantified the temperature dependence of meson masses and form factors.
- Extended the model to include hadrons with integer spin.

## Abstract

We derive a holographic soft-wall approach in five dimensional AdS-Schwarzschild space for the description of mesons at finite temperature. In this first application we consider the small temperature limit and derive analytical expression for the mass spectrum of mesons with adjustable quantum numbers $n$ (radial number), $L$ (angular orbital momentum) and $J$ (total angular momentum). We explicitly separate the contribution at zero temperature and the leading order temperature correction. The temperature corrections arise from the temperature dependence of the dilaton parameter (which is the parameter of spontaneous breaking of chiral symmetry related to the pseudoscalar meson decay constant) and the warping of the AdS metric due to temperature. We extend our results to any hadron with integer spin (tetraquarks, dibaryons, etc.). We present numerical analysis for the temperature dependence of meson masses and form factors.