Data-Driven Refinement of an Analytical Holographic Model for the QCD Phase Transition

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Hauptverfasser: Chen, Xun, Giannuzzi, Floriana, Nicotri, Stefano
Format: Preprint
Veröffentlicht: 2025
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author Chen, Xun
Giannuzzi, Floriana
Nicotri, Stefano
author_facet Chen, Xun
Giannuzzi, Floriana
Nicotri, Stefano
contents Using (2+1)-flavor lattice QCD data, we refine the parameters of an analytical holographic model via gradient descent optimization to precisely locate the critical endpoint in the $T-μ$ plane. Specifically, we calibrate the model using input data for the speed of sound at $μ_B = 0$, the second-order baryon number susceptibility $χ^B_2$, and the baryon number density at $μ_B/T = 1$. With these parameters fixed, we calculate pressure and energy density versus temperature at small chemical potentials and compare the results with lattice QCD data using Taylor expansion techniques. This comparison validates the robustness of our model upon extension to finite chemical potentials, as the results show broad consistency with lattice QCD data in this regime. Finally, we employ the calibrated model to determine the coordinates of the critical endpoint in the $T-μ_B$ plane, finding it located at $(μ_B = 0.678 \, \rm{GeV}, T = 0.110 \, \rm{GeV})$
format Preprint
id arxiv_https___arxiv_org_abs_2512_01836
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Data-Driven Refinement of an Analytical Holographic Model for the QCD Phase Transition
Chen, Xun
Giannuzzi, Floriana
Nicotri, Stefano
High Energy Physics - Phenomenology
Using (2+1)-flavor lattice QCD data, we refine the parameters of an analytical holographic model via gradient descent optimization to precisely locate the critical endpoint in the $T-μ$ plane. Specifically, we calibrate the model using input data for the speed of sound at $μ_B = 0$, the second-order baryon number susceptibility $χ^B_2$, and the baryon number density at $μ_B/T = 1$. With these parameters fixed, we calculate pressure and energy density versus temperature at small chemical potentials and compare the results with lattice QCD data using Taylor expansion techniques. This comparison validates the robustness of our model upon extension to finite chemical potentials, as the results show broad consistency with lattice QCD data in this regime. Finally, we employ the calibrated model to determine the coordinates of the critical endpoint in the $T-μ_B$ plane, finding it located at $(μ_B = 0.678 \, \rm{GeV}, T = 0.110 \, \rm{GeV})$
title Data-Driven Refinement of an Analytical Holographic Model for the QCD Phase Transition
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2512.01836