洛伦兹对称性自发破缺理论中的拓扑缺陷的研究
发布时间：2018-09-04 17:23
【摘要】：洛伦兹不变性是物理学的基础之一，但是一些量子引力模型已经暗示了洛伦兹对称性违背的可能性。斯特莱茨基等人发展了标准模型理论，在此理论框架下我们可以广泛探讨低于普朗克能标的领域中的洛伦兹违背现象。由反对称二阶张量场构建的洛伦兹违背理论引起人们广泛地兴趣，本文探讨了此理论中简并真空态的拓扑结构，研究了此理论中拓扑缺陷尤其是单极子的引力场的性质。 本文的结构如下：在第一章中我们以基本的概念为线索对规范理论中的拓扑缺陷的理论基础进行了概述。在第二章中我们简要介绍了标准模型扩展理论，然后着重考察了反对称二阶张量场理论中洛伦兹对称性自发破缺后简并真空的拓扑结构。在规范理论中真空流形与规范对称群关于未破缺子群的陪集空间同构，但在此理论中情形有所不同。真空流形的拓扑结构允许单极子解。在第三章中我们详细探讨了单极子的引力性质。我们给出了单极子的引力场的解析的近似解，利用数值方法讨论了引力场中的测地线，比较了此单极子与标量单极子引力场中光线偏折效应并指出在天文观测中区分它们是可行的。最后，在第四章中我们对上述结果进行了总结。
[Abstract]:Lorentz invariance is one of the foundations of physics, but some quantum gravitational models have indicated the possibility of Lorentz symmetry violation. Straitsky et al developed the standard model theory, under which we can discuss the Lorentz violation in the field of energy target of Planck extensively. The Lorentz violation theory constructed from the antisymmetric second-order Zhang Liang field has attracted widespread interest. In this paper, the topological structure of degenerate vacuum state in this theory is discussed, and the properties of the topological defects, especially the gravitational field of monopole, in this theory are studied. The structure of this paper is as follows: in the first chapter, we summarize the theoretical basis of topological defects in gauge theory based on the basic concepts. In the second chapter, we briefly introduce the standard model extension theory, and then we focus on the topological structure of Lorentz symmetry degenerate vacuum after spontaneous breaking of Lorentz symmetry in the antisymmetric second-order Zhang Liang field theory. In the gauge theory, the vacuum manifold is isomorphic to the coset space of the normal symmetric group with respect to the unbroken subgroup, but the situation is different in this theory. The topological structure of the vacuum manifold allows the monopole solution. In chapter 3, we discuss the gravitational properties of monopole in detail. We give the analytical approximate solution of the gravitational field of the monopole, and discuss the geodesy in the gravitational field by using the numerical method. The light deflection effects in the gravitational field between the monopole and the scalar monopole are compared and it is pointed out that it is feasible to distinguish them in astronomical observations. Finally, in the fourth chapter, we summarize the above results.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P142
本文编号：2222841
[Abstract]:Lorentz invariance is one of the foundations of physics, but some quantum gravitational models have indicated the possibility of Lorentz symmetry violation. Straitsky et al developed the standard model theory, under which we can discuss the Lorentz violation in the field of energy target of Planck extensively. The Lorentz violation theory constructed from the antisymmetric second-order Zhang Liang field has attracted widespread interest. In this paper, the topological structure of degenerate vacuum state in this theory is discussed, and the properties of the topological defects, especially the gravitational field of monopole, in this theory are studied. The structure of this paper is as follows: in the first chapter, we summarize the theoretical basis of topological defects in gauge theory based on the basic concepts. In the second chapter, we briefly introduce the standard model extension theory, and then we focus on the topological structure of Lorentz symmetry degenerate vacuum after spontaneous breaking of Lorentz symmetry in the antisymmetric second-order Zhang Liang field theory. In the gauge theory, the vacuum manifold is isomorphic to the coset space of the normal symmetric group with respect to the unbroken subgroup, but the situation is different in this theory. The topological structure of the vacuum manifold allows the monopole solution. In chapter 3, we discuss the gravitational properties of monopole in detail. We give the analytical approximate solution of the gravitational field of the monopole, and discuss the geodesy in the gravitational field by using the numerical method. The light deflection effects in the gravitational field between the monopole and the scalar monopole are compared and it is pointed out that it is feasible to distinguish them in astronomical observations. Finally, in the fourth chapter, we summarize the above results.
【学位授予单位】：上海师范大学
【学位级别】：硕士
【学位授予年份】：2013
【分类号】：P142
【共引文献】
相关期刊论文 前1条
1 曾定方;;含磁单极电动力学的电磁对偶对称性自发破缺问题[J];大学物理;2014年10期
，本文编号：2222841
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