- 场论的路径积分方法(第2版)(英文版)
- - 作者：(美)A.达斯
  - 出版社：世界图书出版公司
  - ISBN：9787519224127
  - 出版日期：2017/07/01
  - 页数：361
- 售价：27.6

内容大纲
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。
作者介绍
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  Noether's 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

内容大纲

作者介绍

目录

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