《物理學中的拓撲和幾何》是2007年4月科學出版社出版的圖書，作者是比爾。
基本介紹
- 書名：物理學中的拓撲和幾何
- 作者：比爾
- ISBN：9787030187864
- 頁數：376
- 出版社：科學出版社
- 出版時間：2007-04-16
- 裝幀：精裝
內容簡介,目錄,
內容簡介
將拓撲與幾何的概念和方法套用於凝聚態物理學、宇宙論、重力與粒子物理等方面，進一步加深了對其科學概念的理解。本書可作為現代套用學以及上述物理研究領域的最先發展的前沿教科書。它包含一系列本領域廣泛的課題研究，並給出了規範場理論，BRST量子化，手征反常，超對稱孤子和可交換幾何學中的拓撲概念的介紹。本書可供研究生使用，可作為本領域的入門讀物，對相關研究人員尋找新物質有著重要的參考價值。
目錄
Introduction and Overview
1 Topology and Geometry in Physics
2 An Otuline of the Book
3 Complementary Literature
Topological Concepts in Gauge Theories
1 Introduction
2 Nielsen-Olesen Vortex
3 Homotopy
4 Yang-Mills Theory
5 't Hooft-Polyakov Monpoloe
6 Quantization of Yang-Mills Theory
7 Instantons
8 Center Symmetry and Confinement
9 QCD in Axial Gauge
10 Conclusions
Aspects of BRST Quantization
1 Symmetries and Constraints
2 Canonical BRST Construction
3 Action Formalism
4 Applications of BRST Methods
Appendix.Conventions
Chiral Anomalies and Topology
1 Symmetries Regularization Anomalies
2 Momentum Cut-Off Regularization
3 Other Regularization Schemes
4 The Abelian Anomaly
5 Instantons Anomalies and θ-Vacua
6 Non-Abelian Anomaly
7 Lattice Fermions:Ginsparg-Wilson Relation
8 Supersymmetric Quantum Mechanics and Domain Wall Fermions
Appendix A.Trace Formula for Periodic Potentials
Appendix B.Resolvent of the Hamiltonian in Supersymmetric QM
Supersymmetric Solitons and Topology
1 Introduction
2 D=1+1；N=1
3 Domain Walls in(3+1)-Dimensional Theories
4 Extended Supersymmetry in Two Dimensions:The Supersymmetric CP(1)Model
5 Conclusions
Appendix A.CP(1)Model+O(3)Model(N=1Superfields N)
Appendix B.Getting Started (Supersymmetry for Beginners)
Forces from Connes Geometry
1 Introdution
2 Gravity from Riemannian Geometry
3 Slot Machines and the Standard Model
4 Connes Noncommutative Geometry
5 The Spectral Action
6 Connes Do-It-Yourself Kit
7 Outlook and Conclusion
Appendix
Index
