SYMMETRY DEFECTS AND BROKEN SYMMETRY - CONFIGURATIONS HIDDEN SYMMETRY
SYMMETRY DEFECTS AND BROKEN SYMMETRY - CONFIGURATIONS HIDDEN SYMMETRY
复制标题
DOI：
10.1103/revmodphys.52.617
复制
发表时间：
1980-01-01
影响因子：
44.1
通讯作者：
MICHEL, L
中科院分区：
文献类型：
--
作者：
MICHEL, L
本文介绍了缺陷的自发对称性破缺和拓扑分类的研究。后一主题以前一主题为基础；这两门学科都需要一些许多物理学家不熟悉的数学知识：群作用和同伦理论。从实例中介绍了这些数学方法，并对它们的主要结果作了解释，以供物理应用。希望这篇论文能使非专业人士阅读最近出现的关于对称缺陷的拓扑分类的物理文献。一些附录(A，C，D，F，G)给出了更多的数学细节；另一些附录(B，E，H)解释了一些在不同物理领域的应用，而正文中讨论了介晶相(Mermin，1979处理了3个超流体相)。
This paper is an introduction to the study of spontaneous symmetry breaking and topological classification of defects. The latter topic has aits foundation in the former one; both subjects requires some mathematics not familiar to many physicists: group action and homotopy theory. These mathematics are introduced from examples and their main results, to be used for physics, are explained. It is hoped that this paper will enable the non specialist to read the physics literature which has very recently appeared on topological classification of symmetry defects. Some appendices (A, C, D, F, G) gives more mathematical details; the other appendices (B, E, H) explain some applications to different fields of physics, while mesomorphic phases are treated in the text (He 3 superfluid phases have been treated by Mermin, 1979).