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Main Authors: Chen, Xun, Huang, Mei
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2401.06417
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author Chen, Xun
Huang, Mei
author_facet Chen, Xun
Huang, Mei
contents Based on lattice QCD results of equation of state (EOS) and baryon number susceptibility at zero baryon chemical potential, and supplemented by machine learning techniques, we construct the analytic form of the holographic black hole metric in the Einstein-Maxwell-Dilaton (EMD) framework for pure gluon, 2-flavor, and 2+1-flavor systems, respectively. The dilaton potentials solved from Einstein equations are in good agreement with the extended non-conformal DeWolfe-Gubser-Rosen (DGR) type dilaton potentials fixed by lattice QCD EOS, which indicates the robustness of the EMD framework. The predicted critical endpoint (CEP) in the 2+1-flavor system is located at $(T^c$=0.094GeV, $μ^c_B$=0.74GeV), which is close to the results from the realistic Polyakov-Nambu-Jona-Lasinio(PNJL) model, the functional renormalization group, and the holographic model with extended DeWolfe-Gubser-Rosen dilaton potential.
format Preprint
id arxiv_https___arxiv_org_abs_2401_06417
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Machine learning holographic black hole from lattice QCD equation of state
Chen, Xun
Huang, Mei
High Energy Physics - Phenomenology
High Energy Physics - Lattice
Based on lattice QCD results of equation of state (EOS) and baryon number susceptibility at zero baryon chemical potential, and supplemented by machine learning techniques, we construct the analytic form of the holographic black hole metric in the Einstein-Maxwell-Dilaton (EMD) framework for pure gluon, 2-flavor, and 2+1-flavor systems, respectively. The dilaton potentials solved from Einstein equations are in good agreement with the extended non-conformal DeWolfe-Gubser-Rosen (DGR) type dilaton potentials fixed by lattice QCD EOS, which indicates the robustness of the EMD framework. The predicted critical endpoint (CEP) in the 2+1-flavor system is located at $(T^c$=0.094GeV, $μ^c_B$=0.74GeV), which is close to the results from the realistic Polyakov-Nambu-Jona-Lasinio(PNJL) model, the functional renormalization group, and the holographic model with extended DeWolfe-Gubser-Rosen dilaton potential.
title Machine learning holographic black hole from lattice QCD equation of state
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
url https://arxiv.org/abs/2401.06417