Deep-learning quasi-particle masses from QCD equation of state

The interactions of quarks and gluons are strong in the non-perturbative regime. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations. However, the complicated QCD EoS can be reproduced using...

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Main Authors: Fu-Peng Li, Hong-Liang Lü, Long-Gang Pang, Guang-You Qin
Format: Article
Language:English
Published: Elsevier 2023-09-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323004227
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author Fu-Peng Li
Hong-Liang Lü
Long-Gang Pang
Guang-You Qin
author_facet Fu-Peng Li
Hong-Liang Lü
Long-Gang Pang
Guang-You Qin
author_sort Fu-Peng Li
collection DOAJ
description The interactions of quarks and gluons are strong in the non-perturbative regime. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations. However, the complicated QCD EoS can be reproduced using simple statistical formula by treating the medium as a free parton gas whose fundamental degrees of freedom are dressed quarks and gluons called quasi-particles, with temperature-dependent masses. We use deep neural networks and auto differentiation to solve this variational problem in which the masses of quasi gluons, up/down and strange quarks are three unknown functions, whose forms are represented by deep neural network. We reproduce the QCD EoS at zero net baryon chemical potential using these machine learned quasi-particle masses, and calculate the shear viscosity over the entropy density (η/s) as a function of temperature of the hot QCD matter.
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spelling doaj.art-88f7ede745574ee69dcad2675af2b6832023-08-26T04:42:32ZengElsevierPhysics Letters B0370-26932023-09-01844138088Deep-learning quasi-particle masses from QCD equation of stateFu-Peng Li0Hong-Liang Lü1Long-Gang Pang2Guang-You Qin3Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, ChinaHiSilicon Research Department, Huawei Technologies Co., Ltd., Shenzhen 518000, ChinaKey Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China; Corresponding authors.Key Laboratory of Quark and Lepton Physics (MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China; Corresponding authors.The interactions of quarks and gluons are strong in the non-perturbative regime. The equation of state (EoS) of a strongly-interacting quantum chromodynamics (QCD) medium can only be studied using the first-principle lattice QCD calculations. However, the complicated QCD EoS can be reproduced using simple statistical formula by treating the medium as a free parton gas whose fundamental degrees of freedom are dressed quarks and gluons called quasi-particles, with temperature-dependent masses. We use deep neural networks and auto differentiation to solve this variational problem in which the masses of quasi gluons, up/down and strange quarks are three unknown functions, whose forms are represented by deep neural network. We reproduce the QCD EoS at zero net baryon chemical potential using these machine learned quasi-particle masses, and calculate the shear viscosity over the entropy density (η/s) as a function of temperature of the hot QCD matter.http://www.sciencedirect.com/science/article/pii/S0370269323004227
spellingShingle Fu-Peng Li
Hong-Liang Lü
Long-Gang Pang
Guang-You Qin
Deep-learning quasi-particle masses from QCD equation of state
Physics Letters B
title Deep-learning quasi-particle masses from QCD equation of state
title_full Deep-learning quasi-particle masses from QCD equation of state
title_fullStr Deep-learning quasi-particle masses from QCD equation of state
title_full_unstemmed Deep-learning quasi-particle masses from QCD equation of state
title_short Deep-learning quasi-particle masses from QCD equation of state
title_sort deep learning quasi particle masses from qcd equation of state
url http://www.sciencedirect.com/science/article/pii/S0370269323004227
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