Lattice Quantum Chromodynamics: Practical Essentials

Lattice Quantum Chromodynamics: Practical Essentials
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晶格量子色动力学:实用要点

DOI:
10.1007/978-94-024-0999-4
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发表时间:
2017
期刊:
影响因子:
--
通讯作者:
Michael Peardon
Michael Peardon
中科院分区:
--
文献类型:
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作者:
Francesco Knechtli;Michael Günther;Michael Peardon

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晶格场理论在发明40多年后,已经发展成为物理学、数学和信息学之间紧密联系的交叉学科研究领域。格子量子色动力学(QCD)的蒙特卡罗模拟描述了强子的物理组成:夸克和胶子。这些研究在计算上具有挑战性。在这本书中,我们提供了格子QCD的核心技术的概述,包括现代发展。这本书有四章。第一章解释了欧几里得晶格上的夸克和胶子的表述。第二章介绍了蒙特卡罗方法,并详细介绍了模拟格点规范场的数值算法。第三章解释了研究夸克场和夸克传播子计算所需的数学和数值技术。第四章介绍了由晶格场构造的物理能观,并解释了如何在模拟中测量它们。这本书的目的是使研究生谁是新的领域进行明确的第一步,并准备他们在格子QCD的研究。
More than 40 years after its invention, lattice field theory has developed into an interdisciplinary research area, with close connections between physics, mathematics and informatics. Monte Carlo simulations of lattice Quantum Chromodynamics (QCD) describe the physics of hadrons from their constituents: quarks and gluons. These studies are computationally challenging. In this book we provide an overview of the techniques central to lattice QCD, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. The third chapter explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.