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A pedagogical approach to introducing the honeycomb lattice gauge theory
European Journal of Physics ( IF 0.7 ) Pub Date : 2024-01-16 , DOI: 10.1088/1361-6404/ad1397
Yi-Fen Zhao , Fei-Jie Huang

A pedagogical approach to introducing the honeycomb lattice gauge theory is presented. Lattice gauge theory, which is an important theory for understanding strongly correlated systems, is a significant topic covered in the quantum field theory course for graduate students. Typically, quantum field theory textbooks introduce lattice gauge theory using the square lattice. However, beginners often find it challenging to grasp such an abstract theory only through the example of the square lattice. In this paper, we introduce lattice gauge theory using an alternative lattice—the honeycomb lattice. By comparing the differences between honeycomb and square lattice gauge theories, we highlight the fundamental principles of lattice gauge theory. This pedagogical approach will assist students in gaining a fresh perspective on grasping lattice gauge theory.

中文翻译:

介绍蜂窝晶格规范理论的教学方法

提出了一种介绍蜂窝晶格规范理论的教学方法。格规范理论是理解强相关系统的重要理论,是研究生量子场论课程中的重要课题。通常,量子场论教科书使用方晶格介绍晶格规范理论。然而,初学者常常发现仅通过方格的例子来掌握这样一个抽象的理论是很困难的。在本文中,我们使用另一种晶格——蜂窝晶格来介绍晶格规范理论。通过比较蜂窝和方形晶格规范理论之间的差异,我们强调了晶格规范理论的基本原理。这种教学方法将帮助学生获得掌握格规范理论的新视角。
更新日期:2024-01-16
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