Melting of scalar hadrons in an AdS/QCD model modified by a thermal dilaton

TL;DR

This paper introduces a finite-temperature AdS/QCD model with a thermal dilaton field, enabling the calculation of meson melting temperatures near 180 MeV and providing a quick testing method for soft wall models at finite temperature.

Contribution

It proposes a novel thermal dilaton in AdS/QCD models that depends on temperature, allowing for realistic meson melting temperature predictions.

Findings

Melting temperature for mesons close to 180 MeV.

Thermal dilaton enables predictions for other hadrons.

A simple procedure for analyzing holographic potential at finite temperature.

Abstract

We consider an AdS/QCD model at finite temperature with a dilaton field that we call thermal because, in addition to depending on the holographic coordinate, it also depends on temperature. We study two thermal dilatons in this work such that at $T=0$ they are reduced to the dilatons used by some authors. With these thermal dilatons it is possible to obtain melting temperatures for mesons close to $180$ MeV and also make predictions for other hadrons. We use a procedure based on the analysis of the holographic potential related to the E.O.M. for modes dual to hadrons to calculate melting temperatures. This technique is easy to implement; therefore, it could be considered a first fast testing criterion for soft wall-like models at finite temperature.