场论的路径积分方法(第2版)(英文版)

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。

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