作者：

（德）莫泽乐（Mosel，U.）　编著

内容简介：

本书是关于经典场和量子场路径积分的初级读本，写作风格简明扼要，重点介绍量子场的路径积分。本书介绍了场论最新发展的基本理论，可以作为一学期强化课程的教材使用。场论的路径积分方法有助于严格研究一些基本数学问题及其在强子物理、粒子物理和核物理中的应用，本书可供数学专业和理论物理专业的学生使用。本书是对作者《场、对称性和夸克》（Springer，1999）一书的补充，需要读者具有相对论量子力学方面的知识。

目录：

Part Ⅰ Non-Relativistic Quantum Theory

1 The Path Integral in Quantum Theory

1.1 Propagator of the Schrodinger Equation

1.2 Propagator as Path Integral

1.3 Quadratic Hamiltonians

1.3.1 Cartesian Metric

1.3.2 Non-Cartesian Metric

1.4 Classical Interpretation

2 Perturbation Theory

2.1 Free Propagator

2.2 Perturbative Expansion

2.3 Application to Scattering

3 Generating Functionals

3.1 Groundstate-to-Groundstate Transitions

3.1.1 Generating Functional

3.2 Functional Derivatives of Gs-Gs Transition Amplitudes

PartⅡ Relativistic Quantum Field Theory

4 Relativistic Fields

4.1 Equations of Motion

4.1.1 Examples

4.2 Symmetries and Conservation Laws

4.2.1 Geometrical Space-Time Symmetries

4.2.2 Internal Symmetries

5 Path Integrals for Scalar Fields

5.1 Generating Functional for Fields

5.1.1 Euclidean Representation

6 Evaluation of Path Integrals

7 Transition Rates and Green's Functions

8 Green's Functions

9 Perturbative Theory

10 Green's Functions for Fermions

11 Interacting Fields

Part Ⅲ Gauge Field Theory

12 Path Integrals for QED

13 path Integrals for Gauge Fields

14 Examples for Gauge Field Theories

Units and Metric

Functionals

Renormalization Integrals

Gaussian Grassmann Integration

References

Indes