https://doi.org/10.1140/epjc/s10052-025-14319-2
Regular Article - Theoretical Physics
Neural network modeling of heavy-quark potential from holography
1
School of Nuclear Science and Technology, University of South China, No 28, West Changsheng Road, Hengyang, Hunan, China
2
Key Laboratory of Quark and Lepton Physics (MOE), Central China Normal University, 430079, Wuhan, China
3
Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, 430079, Wuhan, China
4
School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen (CUHK-Shenzhen), 518172, Shenzhen, Guangdong, China
a
chenxunhep@qq.com
b
fupengli29@mails.ccnu.edu.cn
c
lixiaohuaphysics@126.com
d
zhoukai@cuhk.edu.cn
Received:
28
February
2025
Accepted:
15
May
2025
Published online:
10
June
2025
Using Multi-Layer Perceptrons (MLP) and Kolmogorov–Arnold Networks (KAN), we construct a holographic model based on lattice QCD data for the heavy-quark potential in the 2+1 system. The deformation factor w(r) in the metric is obtained using the two types of neural network. First, we numerically obtain w(r) using MLP, accurately reproducing the QCD results of the lattice, and calculate the heavy quark potential at finite temperature and the chemical potential. Subsequently, we employ KAN within the Andreev–Zakharov model for validation purpose, which can analytically reconstruct w(r), matching the Andreev–Zakharov model exactly and confirming the validity of MLP. Finally, we construct an analytical holographic model using KAN and study the heavy-quark potential at finite temperature and chemical potential using the KAN-based holographic model. This work demonstrates the potential of KAN to derive analytical expressions for high-energy physics applications.
© The Author(s) 2025
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Funded by SCOAP3.
