韦特曼的这本《费恩曼图》是一部运用费恩曼规则和计算方法讲述量子场论的入门书籍，旨在阐明什么是现代场论的物理学基础，费曼原理的物理实质及其应用领域。书在开始部分讲述该领域重要的理论爱因斯坦相对论，接着介绍自由粒子的相对论量子力学，相互作用场和自旋粒子。前几章讲述了这些技巧及其应用，后几章讨论重正化和统一性等，最后一章包括了量子电动力学。为了能使更广泛的读者学习此书，附录中补充了书中用到的必需的数学知识，包括复空间，矩阵和CBH方程，迹和维度正规化。

Introduction

1 Lorentz and Poincare Invariance

1.1 Lorentz Invariance

1.2 Structure of the Lorentz Group

1.3 Poincare Invariance

1.4 Maxwell Equations

1.5 Notations and Conventions

2 Relativistic Quantum Mechanics of Free

Particles

2.1 Hilbert Space

2.2 Matrices in Hilbert Space

2.3 Fields

2.4 Structure of Hilbert Space

3 Interacting Fields

3.1 Physical System

3.2 Hilbert Space

3.3 Magnitude of Hilbert Space

3.4 U-matrix, S-matrix

3.5 Interpolating Fields

3.6 Feynman Rules

3.7 Feynman Propagator

3.8 Scattering Cross Section

3.9 Lifetime

3.10 Numerical Evaluation

3.11 SchrSdinger Equation, Bound States

4 Particles with Spin

4.1 Representations of the Lorentz Group

4.2 The Dirac Equation

4.3 Fermion Fields

4.4 The E.M. Field

4.5 Quantum Electrodynamics

4.6 Charged Vector Boson Fields

4.7 Electron-Proton Scattering. The Rutherford Formula

5 Explorations

5.1 Scattering Cross Section for

5.2 Pion Decay. Two Body Phase Space. Cabibbo Angle

5.3 Vector Boson Decay

5.4 Muon Decay. Fiertz Transformation

5.5 Hyperon Leptonic Decay

5.6 Pion Decay and PCAC

5.7 Neutral Pion Decay and PCAC

6 Renormalization

6.1 Introduction

6.2 Loop Integrals

6.3 Self Energy

6.4 Power Counting

6.5 Quantum Electrodynamics

6.6 Renormalizable Theories

6.7 Radiative Corrections: Lamb Shift

6.8 Radiative Corrections: Top Correction to p-Parameter

6.9 Neutral Pion Decay and the Anomaly

7 Massive and Massless Vector Fields

7.1 Subsidiary Condition Massive Vector Fields

7.2 Subsidiary Condition Massless Vector Fields

7.3 Photon Helicities

7.4 Propagator and Polarization Vectors of Massive

Vector Particles

7.5 Photon Propagator

7.6 Left Handed Photons

8 Unitarity

8.1 U-matrix

8.2 Largest Time Equation

8.3 Cutting Equations

8.4 Unitarity and Cutting Equation

8.5 Unitarity: General Case Uontents

8.6 Klldn-Lehmann Representation.Dispersion Relation

8.7 Momenta in Propagators

9 Quantum Electrodynamics：Finally

9.1 Unitarity

9.2 ward Identities

Appendix A Complex Spaces，Matrices，CBH

Equation

A.1 Basics

A.2 Difrerentiation of Matrices

A.3 Functions of Matrices

A.4 The CBH Equation

Appendix B Traces

B.1 General

B.2 Multi-Dimensional 1-Matrices

B.3 Frequently Used Equations

Appendix C Dimensional Regularization

Appendix D Summary.Combinatorial Factors

D.1 Summary

D.2 External Lines，Spin Sums，Propagators

D.3 Combinatorial Factors

Appendix E Standard Model

E.1 Lagrangian

E.2 Feynman Rules

Appendix F Metric and Conventions

F.1 General Considerations

F.2 Translation Examples

F.3 Translation Dictionary

Index