Non-perturbative QCD: Renormalization, O(a)-improvement and matching to Heavy Quark Effective Theory

Non-perturbative QCD: Renormalization, O(a)-improvement and matching to Heavy Quark Effective Theory
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非微扰 QCD:重整化、O(a)-改进以及与重夸克有效理论的匹配

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发表时间:
2006
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通讯作者:
R. Sommer
R. Sommer
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作者:
R. Sommer

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我们介绍格点规范理论中的三个主题: I. Schroedinger泛函和O(a)改进。 O(a)改进已审查了几次。在这里,我们着重详细解释基本思想,然后直接进行文献综述和我们个人对已经取得的成就和缺失的评估。 二.运行耦合、运行夸克质量的计算及重整化群不变量的提取。 我们专注于基本的策略,并投入了大量的精力来理解连续极限。我们指出还需要做些什么。 三.非微扰重夸克有效理论 由于关于这个问题的文献仍然相当稀少,我们超越了基本思想,并详细讨论了理论如何在原则上和实践中发挥作用。
We give an introduction to three topics in lattice gauge theory: I. The Schroedinger Functional and O(a) improvement. O(a) improvement has been reviewed several times. Here we focus on explaining the basic ideas in detail and then proceed directly to an overview of the literature and our personal assessment of what has been achieved and what is missing. II. The computation of the running coupling, running quark masses and the extraction of the renormalization group invariants. We focus on the basic strategy and on the large effort that has been invested in understanding the continuum limit. We point out what remains to be done. III. Non-perturbative Heavy Quark Effective Theory. Since the literature on this subject is still rather sparse, we go beyond the basic ideas and discuss in some detail how the theory works in principle and in practice.