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Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD

U. Gursoy, E. Kiritsis, L. Mazzanti, F. Nitti

TL;DR

Using a five-dimensional Einstein-dilaton holographic model (ihqcd), the authors study finite-temperature thermodynamics of the pure glue sector in QCD. They demonstrate a Hawking-Page-type first-order deconfinement transition between a confined thermal gas and a deconfined black-hole geometry, with a Tc around 235 MeV, and show that the high-temperature equation of state and speed of sound align well with lattice QCD results without introducing new parameters beyond those fixed at zero temperature. The zero-temperature potential fixes all scales, glueball masses, and the large-Nc behavior, while the deconfined phase thermodynamics reproduces lattice trends for p, s, ε and the interaction measure, albeit with some discrepancies in latent heat. The work suggests that careful tuning of the intermediate region of the potential could further improve agreement across a wide temperature range, highlighting the potential of bottom-up holographic QCD for real-world QCD thermodynamics.

Abstract

The finite temperature physics of the pure glue sector in the improved holographic QCD model of arXiv:0707.1324 and arXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of arXiv:0707.1349, we find T_c = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data.

Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD

TL;DR

Using a five-dimensional Einstein-dilaton holographic model (ihqcd), the authors study finite-temperature thermodynamics of the pure glue sector in QCD. They demonstrate a Hawking-Page-type first-order deconfinement transition between a confined thermal gas and a deconfined black-hole geometry, with a Tc around 235 MeV, and show that the high-temperature equation of state and speed of sound align well with lattice QCD results without introducing new parameters beyond those fixed at zero temperature. The zero-temperature potential fixes all scales, glueball masses, and the large-Nc behavior, while the deconfined phase thermodynamics reproduces lattice trends for p, s, ε and the interaction measure, albeit with some discrepancies in latent heat. The work suggests that careful tuning of the intermediate region of the potential could further improve agreement across a wide temperature range, highlighting the potential of bottom-up holographic QCD for real-world QCD thermodynamics.

Abstract

The finite temperature physics of the pure glue sector in the improved holographic QCD model of arXiv:0707.1324 and arXiv:0707.1349 is addressed. The thermodynamics of 5D dilaton gravity duals to confining gauge theories is analyzed. We show that they exhibit a first order Hawking-Page type phase transition. In the explicit background of arXiv:0707.1349, we find T_c = 235 MeV. The temperature dependence of various thermodynamic quantities such as the pressure, entropy and speed of sound is calculated. The results show a good agreement with the corresponding lattice data.

Paper Structure

This paper contains 5 sections, 9 equations, 4 figures.

Table of Contents

  1. Introduction
  2. Improved Holographic QCD at T=0
  3. The deconfinement transition
  4. Numerical Results
  5. Discussion

Figures (4)

  • Figure 1: Schematic behavior of temperature (a) and free energy density (b) as a function of $r_h$, for the infinite-$r$ geometries of the type (\ref{['sol0IR']}), for different values of $\alpha$.
  • Figure 2: Black hole free energy
  • Figure 3: (a) Dimensionless thermodynamic functions and (b) interaction measure. The dashed curves correspond to the lattice data of karsch
  • Figure 4: Comparison between the speed of sound in our model and the lattice result of karsch (dashed curves)