A pedagogical approach to introducing the honeycomb lattice gauge theory

IF 0.6 4区教育学 Q4 EDUCATION, SCIENTIFIC DISCIPLINES

European Journal of Physics Pub Date : 2023-12-08 DOI:10.1088/1361-6404/ad1397

Yi-Fen Zhao, Fei-Jie Huang

引用次数: 0

Abstract

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.

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介绍蜂巢格规理论的教学方法

介绍了蜂窝晶格规范理论的一种教学方法。晶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的重要内容。一般来说，量子场论教科书使用方形晶格介绍点阵规范理论。然而，初学者常常发现仅仅通过方形晶格的例子来掌握这样一个抽象的理论是具有挑战性的。本文利用蜂窝晶格这一替代晶格引入了晶格规范理论。通过比较蜂窝晶格规范理论与方形晶格规范理论的差异，重点介绍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一个新的视角来理解晶格规范理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

European Journal of Physics 物理-物理：综合

CiteScore

1.70

自引率

28.60%

发文量

128

审稿时长

3-8 weeks

期刊介绍： European Journal of Physics is a journal of the European Physical Society and its primary mission is to assist in maintaining and improving the standard of taught physics in universities and other institutes of higher education. Authors submitting articles must indicate the usefulness of their material to physics education and make clear the level of readership (undergraduate or graduate) for which the article is intended. Submissions that omit this information or which, in the publisher''s opinion, do not contribute to the above mission will not be considered for publication. To this end, we welcome articles that provide original insights and aim to enhance learning in one or more areas of physics. They should normally include at least one of the following: Explanations of how contemporary research can inform the understanding of physics at university level: for example, a survey of a research field at a level accessible to students, explaining how it illustrates some general principles. Original insights into the derivation of results. These should be of some general interest, consisting of more than corrections to textbooks. Descriptions of novel laboratory exercises illustrating new techniques of general interest. Those based on relatively inexpensive equipment are especially welcome. Articles of a scholarly or reflective nature that are aimed to be of interest to, and at a level appropriate for, physics students or recent graduates. Descriptions of successful and original student projects, experimental, theoretical or computational. Discussions of the history, philosophy and epistemology of physics, at a level accessible to physics students and teachers. Reports of new developments in physics curricula and the techniques for teaching physics. Physics Education Research reports: articles that provide original experimental and/or theoretical research contributions that directly relate to the teaching and learning of university-level physics.