物理學(xué)中的拓?fù)浜蛶缀?/h1>

出版時間：2007-4  出版社：科學(xué)  作者：E.Bick，F(xiàn).D.Stef  頁數(shù)：376  
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內(nèi)容概要

拓?fù)浜蛶缀蔚母拍钆c方法在物理學(xué)中的應(yīng)用有助于加深人們對物理學(xué)的許多重要領(lǐng)域（如凝聚態(tài)物理、宇宙學(xué)、此力和粒子物理）的理解，本書是一本關(guān)于幾何和拓?fù)湓谶@些領(lǐng)域中的應(yīng)用與發(fā)展的高級教材，書中分章節(jié)相對獨(dú)立地介紹了規(guī)范理論、BRST量子化、手性異常、超對稱孤子和非交換幾何中的拓?fù)涓拍?。本書適用于相關(guān)專業(yè)的研究生、對本領(lǐng)域感興趣的讀者以及講授相關(guān)課程的教師。

作者簡介

作者：(德國)比爾 (德國)斯特芬

書籍目錄

Introduction and Overview  1 Topology and Geometry in Physics  2 An Otuline of the Book  3 Complementary LiteratureTopological 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 ConclusionsAspects of BRST Quantization  1 Symmetries and Constraints  2 Canonical BRST Construction  3 Action Formalism  4 Applications of BRST Methods  Appendix.ConventionsChiral 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 QMSupersymmetric 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  AppendixIndex

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