关于强相互作用物质的研究：从场论到机器学习
发布时间：2025-04-27 00:04
强相互作用是我们宇宙中四种基本相互作用之一,用来描述强子之间以及其内部组分夸克和胶子之间的相互作用。其基本理论是量子色动力学(QCD)-SU(3)非阿贝尔规范场理论,具有渐近自由的特性。因而人们可以在高能标区域用费曼图微扰展开方法处理散射问题。而在低能标区域,强耦合常数变大以致微扰理论失效,QCD真空具有非平庸的结构,产生了动力学手征对称性破缺和色禁闭的现象。为了研究这些问题,人们发展了很多非微扰方法,包括格点 QCD,Dyson-Schwinger 方程(DSEs),Nambu-Jona-Lasinio 模型(NJL)和其他有效场论模型。在实验方面,相对论重离子碰撞产生高温高密的强相互作用物质,一种新的物质形态-强耦合的夸克胶子等离子体被认为会短暂形成,它可以由相对论流体力学很好地描述.在这一 QCD介质中,夸克和胶子会从强子中解禁闭,拥有更长的自由程;同时手征对称性会部分恢复。随着介质的膨胀,温度和密度会降低,介质重新强子化,最后末态粒子会被各种探测器收集。很显然这是一个非常复杂的动力学过程,如何从末态粒子谱理解整个QCD物质演化过程是非常棘手的。物理学家提出了很多实验探针,这其中包...
【文章页数】：111 页
【学位级别】：博士
【文章目录】：
摘要
Abstract
1 Introduction
2 Heavy quark radiative energy loss in Nuclei
2.1 Background
2.2 General framework
2.3 Medium induced gluon radiation at twist 4
2.3.1 Heavy-quark-gluon double scattering
2.3.2 Interference from single and triple scatterings
2.4 Modified fragmentation function
2.5 Heavy quark energy loss
2.6 Summary
3 Chiral phase transition and its critical behavior
3.1 Background
3.2 The Nambu-Jona-Lasinio Model
3.2.1 The two-flavor model
3.2.2 The three-flavor model
3.3 Thermodynamics of NJL model
3.3.1 The two-flavor model
3.3.2 The three-flavor model
3.4 Chiral restoration and the phase diagram
3.5 Susceptibilities and the critical band in crossover region
3.5.1 Two flavor case
3.5.2 Three flavor case
3.6 Critical exponents for various susceptibilities
3.7 Summary
4 Identifying QCD phase transition with deep learning technique
4.1 Background
4.2 Simulation model
4.3 Neural network and data preprocessing
4.4 Training and testing
4.4.1 Pure (2+1)-D hydrodynamics datasets,late transition to cascade
4.4.2 (2+1)-D hydrodynamics+afterburner datasets,late transitionto cascade
4.4.3 (2+1)-D hydrodynamics+afterburner datasets,early transitionto cascade
4.4.4 Discussion
4.5 Summary
5 Conclusions
Acknowledgements
A Susceptibilities and critical exponents
A.1 Susceptibilities in SU(2) model
A.1.1 Susceptibilities in free quark case
A.1.2 Susceptibilities in interaction case
A.2 Susceptibilities in SU(3) model
A.3 Critical exponents for various susceptibilities
Bibliography
Resume and Publications
本文编号：4041572
【文章页数】：111 页
【学位级别】：博士
【文章目录】：
摘要
Abstract
1 Introduction
2 Heavy quark radiative energy loss in Nuclei
2.1 Background
2.2 General framework
2.3 Medium induced gluon radiation at twist 4
2.3.1 Heavy-quark-gluon double scattering
2.3.2 Interference from single and triple scatterings
2.4 Modified fragmentation function
2.5 Heavy quark energy loss
2.6 Summary
3 Chiral phase transition and its critical behavior
3.1 Background
3.2 The Nambu-Jona-Lasinio Model
3.2.1 The two-flavor model
3.2.2 The three-flavor model
3.3 Thermodynamics of NJL model
3.3.1 The two-flavor model
3.3.2 The three-flavor model
3.4 Chiral restoration and the phase diagram
3.5 Susceptibilities and the critical band in crossover region
3.5.1 Two flavor case
3.5.2 Three flavor case
3.6 Critical exponents for various susceptibilities
3.7 Summary
4 Identifying QCD phase transition with deep learning technique
4.1 Background
4.2 Simulation model
4.3 Neural network and data preprocessing
4.4 Training and testing
4.4.1 Pure (2+1)-D hydrodynamics datasets,late transition to cascade
4.4.2 (2+1)-D hydrodynamics+afterburner datasets,late transitionto cascade
4.4.3 (2+1)-D hydrodynamics+afterburner datasets,early transitionto cascade
4.4.4 Discussion
4.5 Summary
5 Conclusions
Acknowledgements
A Susceptibilities and critical exponents
A.1 Susceptibilities in SU(2) model
A.1.1 Susceptibilities in free quark case
A.1.2 Susceptibilities in interaction case
A.2 Susceptibilities in SU(3) model
A.3 Critical exponents for various susceptibilities
Bibliography
Resume and Publications
本文编号：4041572
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