arXiv 1411.78532014-11-28hep-phnucl-th

微扰QCD中夸克间力和夸克质量的理解

Understanding Interquark Force and Quark Masses in Perturbative QCD

Y. Sumino

备注：: 65 pages, 58 figures; Based on the lecture courses given at Rikkyo Univ., Kyoto Univ., Karlsruhe Univ. and Nagoya Univ., during 2012--2014

摘要：

本课堂讲稿以微扰量子色动力学的观点，对重夸克-反夸克（$Q\bar{Q}$）系统的理论做了一个完备的介绍。该讲座针对非专家，例如研究生课程的学生。重$Q\bar{Q}$系统是检验QCD各个方面的理想实验室：我们可以在微扰级数中考察重整化子的性质，构造了一个有效场论-NRQCD，它从完全QCD的导出可以逐步追溯，在OPE中我们清楚地看到重整化子被非微扰矩阵元吸收;紫外贡献可以进行系统的短程展开，预言微扰QCD中的“库仑+线性”势;我们可以通过与晶格计算进行比较来测试这些理论公式，在晶格计算中我们观察到与微扰状态的显着重叠;最后，我们可以通过与bottomonium态的实验数据进行比较来测试我们的微观理解。这些主题都是以简洁和基本的方式涵盖的。总体而言，我们提供了一个微观的描述的主要动力学的重$Q\bar{Q}$系统，作为一个例子，理论框架，实际计算和定性的理解已经最先进的。

英文摘要：

This lecture note presents a self-contained introduction to the theory of a heavy quark-antiquark ($Q\bar{Q}$) system in terms of perturbative QCD. The lecture is intended for non-experts, such as graduate course students. The heavy $Q\bar{Q}$ system serves as an ideal laboratory for testing various aspects of QCD: We can examine the nature of renormalons in perturbative series; an effective field theory Potential-NRQCD is constructed, whose derivation from full QCD can be traced stepwise; we see absorption of renormalons by non-perturbative matrix elements in OPE clearly; a systematic short-distance expansion of UV contributions can be performed, which predicts a "Coulomb+linear" potential in perturbative QCD; we can test these theoretical formulations by comparison to lattice computations, where we observe a significant overlap with perturbative regime; finally we can test our microscopic understanding by comparing to experimental data for the bottomonium states. These subjects are covered in a concise and elementary manner. Overall, we provide a microscopic description of the main dynamics of a heavy $Q\bar{Q}$ system, as an example for which theoretical framework, practical computations and qualitative understanding have been most advanced.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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