关于Skyrme模型的讲义
Lecture notes on the Skyrme model
摘要：
本讲座提供Skyrme模型的基本概念及其一些应用的教学指导。作为理解Skyrme模型的基础，我们首先简要解释了大$N_c$展开、手征对称性及其破缺。接下来，我们从线性西格玛模型出发，简要回顾了非线性西格玛模型，包括手征微扰理论的功率计数方案。然后，我们给出了一个详尽的解释Skyrme模型及其应用。在介绍了自由空间中重子的Skyrme模型之后，我们介绍了如何利用Skyrme模型研究重子物质和介质修正的强子性质。最后，我们讨论了一种基于隐局域对称性将最低位矢量介子纳入Skyrme模型的方法。还包括一些可能的进一步发展。
英文摘要：
This lecture provides a pedagogical instruction to the basic concepts of the Skyrme model and its some applications. As the preliminary for understanding the Skyrme model, we first briefly explain the large $N_c$ expansion, chiral symmetry and its breaking. Next we give a brief review of nonlinear sigma model including the power counting scheme of the chiral perturbation theory, starting from the linear sigma model. We then give an exhaust explanation of the Skyrme model and its applications. After the presentation of the Skyrme model for baryons in free space, we introduce how to study the baryonic matter and medium modified hadron properties by using the Skyrme model. Finally we discuss a way to incorporate the lowest-lying vector mesons into the Skyrme model based on the hidden local symmetry. Some possible further developments are also covered.
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