# Approaching Confinement Structure for Light Quarks in a Holographic Soft Wall QCD Model

## TL;DR

This paper investigates the confinement-deconfinement phase transition in a holographic soft-wall QCD model by analyzing black hole backgrounds, open string configurations, and Wilson loops to understand quark confinement properties.

## Contribution

It provides an analytical study of the phase structure and confinement mechanisms in a holographic soft-wall QCD model using Einstein-Maxwell-scalar solutions and open string probes.

## Key findings

- Analytical phase diagram of black hole backgrounds.
- Explicit calculation of the Cornell potential in confinement phase.
- Insights into the confinement-deconfinement transition at various temperatures and chemical potentials.

## Abstract

We study confinement-deconfinement phase transition in a holographic soft-wall QCD model. By solving the Einstein-Maxwell-scalar system analytically, we obtain the phase structure of the black hole backgrounds. We then impose probe open strings in such background to investigate the confinement-deconfinement phase transition from different open string configurations under various temperatures and chemical potentials. Furthermore, we study the Wilson loop by calculating the minimal surface of the probing open string world-sheet and obtain the Cornell potential in confinement phase analytically.