Holographic vector mesons in a dilaton background

TL;DR

This paper explores holographic vector mesons within a gravity-dilaton background, deriving a Schrödinger potential that reproduces the rho meson Regge trajectory and reveals a thermodynamic phase transition.

Contribution

It introduces a method to determine the dilaton background from a Schrödinger potential that accurately models vector meson spectra and phase structure.

Findings

Reproduces rho meson Regge trajectory

Derives a dilaton potential from spectral data

Identifies a first-order thermodynamic phase transition

Abstract

Within a holographic framework, we consider vector mesons riding on a gravity-dilaton background. The latter one is determined directly from a Schr\"odinger equivalent potential which delivers a proper $\rho$ meson Regge trajectory. The mapping on the dilaton potential yields a thermodynamic phase structure with a first-order transition.