# Holographic QCD phase diagram with critical point from Einstein-Maxwell-dilaton dynamics

## TL;DR

This paper uses an improved holographic Einstein-Maxwell-dilaton model, incorporating lattice QCD data, to map the QCD phase diagram, identify a critical point, and analyze the nature of the phase transition.

## Contribution

It introduces a refined holographic model that integrates lattice QCD results to accurately explore the QCD phase diagram and locate the critical point.

## Key findings

- First-order phase transition at ~112 MeV and 612 MeV.
- Estimated critical point position with 5-8% accuracy.
- Phase transition classified as a gas-liquid type.

## Abstract

Supplementing the holographic Einstein-Maxwell-dilaton model of [O. DeWolfe, S.S. Gubser, C. Rosen, Phys. Rev. D83 (2011) 086005; O. DeWolfe, S.S. Gubser, C. Rosen, Phys. Rev. D84 (2011) 126014] by input of lattice QCD data for 2+1 flavors and physical quark masses for the equation of state and quark number susceptibility at zero baryo-chemical potential we explore the resulting phase diagram over the temperature-chemical potential plane. A first-order phase transition sets in at a temperature of about 112 MeV and a baryo-chemical potential of 612 MeV. We estimate the accuracy of the critical point position in the order of approximately 5-8% by considering parameter variations and different low-temperature asymptotics for the second-order quark number susceptibility. The critical pressure as a function of the temperature has a positive slope, i.e. the entropy per baryon jumps up when crossing the phase border line from larger values of temperature/baryo-chemical potential, thus classifying the phase transition as a gas liquid one. The updated holographic model exhibits in- and outgoing isentropes in the vicinity of the first-order phase transition.