场论的路径积分方法(第2版)
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作者[新加坡]Ashok Das
出版社世界图书出版有限公司
ISBN9787519224127
出版时间2016-05
装帧平装
开本其他
定价69元
货号9149757
上书时间2024-07-27
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作者简介
Ashok Das是美国Rochester知名教授，本书是唯1一部场论路径积分的图书，第2版在初版基础上新增2章内容。
目录
Preface to the First Edition
Preface to the Second Edition
1.Introduction
1.1 Particles and Fields
1.2 Metric and Other Notations
1.3 Functionals
1.4 Review of Quantum Mechanics
1.5 References
2.Path Integrals and Quantum Mechanics
2.1 Basis States
2.2 Operator Ordering
2.3 The Classical Limit
2.4 Equivalence with the Schr5dinger Equation
2.5 Free Particle
2.6 References
3.Harmonic Oscillator
3.1 Path Integral for the Harmonic Oscillator
3.2 Method of Fourier Transform
3.3 Matrix Method
3.4 The Classical Action
3.5 References
4.Generating Functional
4.1 Euclidean Rotation
4.2 Time Ordered Correlation Functions
4.3 Correlation Functions in Definite States
4.4 Vacuum Functional
4.5 Anharmonic Oscillator
4.6 References
5.Path Integrals for Fermions
5.1 Fermionic Oscillator
5.2 Grassmann Variables
5.3 Generating Functional
5.4 Feynman Propagator
5.5 The Fermion Determinant
5.6 References
6.Supersymmetry
6.1 Supersymmetric Oscillator
6.2 Supersymmetric Quantum Mechanics
6.3 Shape Invariance
6.4 Example
6.5 Supersymmetry and Singular Potentials
6.5.1 Regularized Superpotential
6.5.2 Alternate Regularization
6.6 References
7.Semi-Classical Methods
7.1 WKB Approximation
7.2 Saddle Point Method
7.3 Semi-Classical Methods in Path Integrals
7.4 Double Well Potential
7.5 References
8.Path Integral for the Double Well
8.1 Instantons
8.2 Zero Modes
8.3 The Instanton Integral
8.4 Evaluating the Determinant
8.5 Multi-Instanton Contributions
8.6 References
9.Path Integral for Relativistic Theories
9.1 Systems with Many Degrees of Freedom
9.2 Relativistic Scalar Field Theory
9.3 Feynman Rules
9.4 Connected Diagrams
9.5 References
10.Effective Action
10.1 The Classical Field
10.2 Effective Action
10.3 Loop Expansion
10.4 Effective Potential at One Loop
10.5 References
11.Invarianees and Their Consequences
11.1 Symmetries of the Action
11.2 Noethers Theorem
11.2.1 Example
11.3 Complex Scalar Field
11.4 Ward Identities
11.5 Spontaneous Symmetry Breaking
11.6 Goldstone Theorem
11.7 References
12.Gauge Theories
12.1 Maxwell Theory
12.2 Non-Abelian Gauge Theory
12.3 Path Integral for Gauge Theories
12.4 BRST Invariance
12.5 Ward Identities
12.6 References
13.Anomalies
13.1 Anomalous Ward Identity
13.2 Schwinger Model
13.3 References
14.Systems at Finite Temperature
14.1 Statistical Mechanics
14.2 Critical Exponents
14.3 Harmonic Oscillator
14.4 Fermionic Oscillator
14.5 References
15.Ising Model
15.1 One Dimensional Ising Model
15.2 The Partition Function
15.3 Two Dimensional Ising Model
15.4 Duality
15.5 High and Low Temperature Expansions
15.6 Quantum Mechanical Model
15.7 Duality in the Quantum System
15.8 References
Index
内容摘要
A.达斯著的《场论的路径积分方法(第2版)(英文版)》首先回顾了量子力学的一些基本概念，并引入量子力学中所谓路径积分的概念，然后阐明如何在场论中引入相应的路径积分。在随后的各章中，简单明了给出路径积分方法在场论中几种最基本的应用。本书是进一步深入学习和研究路径积分方法不可或缺的参考书。本书适用于高能物理、凝聚态
物理等专业研究生。
精彩内容
《场论的路径积分方法》（ 第2版）首先回顾了量子力学的一些基本概念，并引入量子力学中所谓路径积分的概念，然后阐明如何在场论中引入相应的路径积分。在随后的各章中，简单明了给出路径积分方法在场论中几种最基本的应用。本书是进一步深入学习和研究路径积分方法不可或缺的参考书。第2版在第1版的基础上做了修订，其中扩充了超对称一章内容，新增规范理论和异常这2章新内容。适用于高能物理、凝聚态物理等专业研究生。
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