Hot and dense quark-gluon plasma thermodynamics from holographic black holes

Abstract

We present new results on the equation of state and transition line of hot and dense strongly interacting QCD matter, obtained from a bottom-up Einstein-Maxwell-Dilaton holographic model. We considerably expand the previous coverage in baryon densities in this model by implementing new numerical methods to map the holographic black hole solutions onto the QCD phase diagram. We are also able to obtain, for the first time, the first-order phase transition line in a wide region of the phase diagram. Comparisons with the most recent lattice results for the QCD thermodynamics are also presented.

Probing QCD critical point and induced gravitational wave by black hole physics

“…The thermodynamic quantities at small µ B are in good agreement with the recent lattice QCD results [9]. Our model has three fewer parameters compared to the model in [27] which agreed with the old simulation data [5] and was claimed to be the simplest model in the current literature. The CEP is fixed both by the thermodynamics and the expectation value of the Polyakov loop operator which is an effective order parameter for the deconfinement transition in the unquenched QCD.…”

“…Therefore, the cosmological constant is given by Λ = −6 (the AdS radius L = 1). The scaling dimension of the dual scalar operator is ∆ = 3 which is different from that in [17,19,23,24,27].…”

“…Since then, several attempts have been made towards the phase diagram in the T − µ B plane (see e.g. [20][21][22][23][24][25][26][27][28]). As the model parameters are fixed by matching to lattice QCD results, to make a reliable prediction at finite µ B , it is crucial to use up-to-data lattice simulation.…”

“…As the model parameters are fixed by matching to lattice QCD results, to make a reliable prediction at finite µ B , it is crucial to use up-to-data lattice simulation. Moreover, in most studies [23,24,26,27] thermodynamic variables were obtained by integrating the naive first law of thermodynamics of the hairy black hole for which its validity is still under investigation [29][30][31][32].…”

“…One can see that the holographic predictions are in quantitative agreement with the lattice results that are available for small chemical potentials, which provides strong support for the hQCD model we consider. Moreover, our setup is much simpler than the one in [27] which was claimed to be the only effective holographic model that can simultaneously describe those thermodynamic variables at a quantitative level [39]. FIG.…”