Abstract
A dilaton potential is adjusted to recently confirmed lattice QCD thermodynamics data in the temperature range $(0.7 \ldots 3.5) T_c$ where $T_c = 155 \text{MeV}$ is the pseudo-critical temperature. The employed holographic model is based on a gravity--single-field dilaton dual. We discuss conditions for enforcing (for the pure gluon plasma) or avoiding (for the QCD quark-gluon plasma) a first-order phase transition, but still keeping a softest point (minimum of sound velocity).
Highlights
The celebrated AdS/CFT correspondence [1,2,3] has sparked a large number of dedicated investigations of strongly coupled systems
In contrast to the IHQCD model, which covers quite a lot of QCD features both for the pure gluon plasma [21,38] and for QCD in the Veneziano limit [39], at finite as well as at zero temperature together with a direct account of the two-loop ’t Hooft running coupling, we consider here a simple holographic gravity–single-dilaton model without any explicit a priori scale setting
All parameters are adjusted to finite-temperature lattice QCD thermodynamics in a selected temperature range
Summary
The celebrated AdS/CFT correspondence [1,2,3] has sparked a large number of dedicated investigations of strongly coupled systems (cf. [4,5] for recent surveys). After refinements in the lattice discretization schemes and actions and continuum extrapolations the results of two independent collaborations [18,19] became consistent Given this new situation and having in mind e.g. an application in the spirit of [14,15] to the QCD phase diagram modeling, one should seek for an appropriate dilaton potential, reproducing sufficiently accurately the known QCD equation of state at μ = 0. This is the aim of the present note.
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