| THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS |
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Analysis of Strong Coupling Constant with Machine Learning and Its Application |
| Xiao-Yun Wang1,2*, Chen Dong1, and Xiang Liu3,4,2,5,6* |
1Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China
2Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, Lanzhou University, Lanzhou 730000, China
3School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
4Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China
5MoE Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
6Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou 730000, China
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| Cite this article: |
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Xiao-Yun Wang, Chen Dong, and Xiang Liu 2024 Chin. Phys. Lett. 41 031201 |
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Abstract We investigate the nature of the strong coupling constant and related physics. Through the analysis of accumulated experimental data around the world, we employ the ability of machine learning to unravel its physical laws. The result of our efforts is a formula that captures the expansive panorama of the distribution of the strong coupling constant across the entire energy range. Importantly, this newly derived expression is very similar to the formula derived from the Dyson–Schwinger equations based on the framework of Yang–Mills theory. By introducing the Euler number $e$ into the functional formula of the strong coupling constant at high energies, we successfully solve the puzzle of the infrared divergence, which allows for a seamless transition of the strong coupling constant from the perturbative to the non-perturbative energy regime. Moreover, the obtained ghost and gluon dressing function distribution results confirm that the obtained strong coupling constant formula can well describe the physical properties of the non-perturbed regime. In addition, we study the quantum-chromodynamics strong coupling constant result of the Bjorken sum rule $\varGamma_1^{p-n}$ and the quark–quark static energy $E_0(r)$, and find that the global energy scale can effectively interpret the experimental data. The present results shed light on the puzzling properties of quantum chromodynamics and the intricate interplay of strong coupling constants at both low and high energy scales.
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Received: 30 January 2024
Editors' Suggestion
Published: 14 March 2024
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| PACS: |
03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.-a
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(Quantum information)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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