Some Quantum Symmetries and Their Breaking II

被引：1

作者：

Selesnick, S. A. ^{[1
]}

机构：

[1] Univ Missouri, St Louis, MO 63121 USA

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2013年 / 52卷 / 04期

关键词：

Symmetry breaking; Vector bundles; Gauge theories; Higgs mechanism; GENERAL RELATIVITY; SPINOR STRUCTURE; SPACE-TIMES;

D O I：

10.1007/s10773-012-1423-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider symmetry breaking in the context of vector bundle theory, which arises quite naturally not only when attempting to "gauge" symmetry groups, but also as a means of localizing those global symmetry breaking effects known as spontaneous. We review such spontaneous symmetry breaking first for a simplified version of the Goldstone scenario for the case of global symmetries, and then in a localized form which is applied to a derivation of some of the phenomena associated with superconduction in both its forms, type I and type II. We then extend these procedures to effect the Higgs mechanism of electroweak theory, and finally we describe an extension to the flavor symmetries of the lightest quarks, including a brief discussion of CP-violation in the neutral kaon system. A largely self-contained primer of vector bundle theory is provided in Sect. 4, which supplies most of the results required thereafter.

引用

页码：1088 / 1121

页数：34

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