After completing my dissertation in differential geometry,I returned to Maharishi University of Management to join the faculty there.The greatest need for my services was in the physics department,and the chairman,the well-known John Hagelin,pointed the finger of authority and said 'quantum field theory!'The class to start in a few weeks.I laughed,but John was serious.

Fortunately,I had audited Sidney Coleman's outstanding Harvard lectures and had taken very good notes.Equally fortunate,I had Robert Brandenburger's official aolutions to all the homework sets.I rolled up my sleeves and waded in.

As we battled through the material,the beautiful architecture of Coleman's coures became apparent.It introduced the primary concepts-canonical quantization,renormalization,spin,functional integral quantization-one at a time and made each one practical before advancing to the next abstraction.It started with simple models and provided motivation for each elaboration.

Preface

Introduction

1. Relativistic Quantum Mechanics

 1.0 Introduction

 1.1 One-Particle State Space - Mathematics

 1.2 One-Particle State Space - Physics

 1.3 The Action of Translations on States

 1.4 The Action of the Lorentz Group on States

 1.5 Representing the Poincare Group

 1.6 The Position Operator

 1.7 Summary

2. Fock Space， the Scalar Field， and Canonical Quantization

 2.0 Introduction

 2.1 Bosonic Fock Space

 2.2 Harmonic Oscillator Review

 2.3 Application to Fock Space

 2.4 The Free Scalar Field

 2.5 Canonical Quantization of Classical Mechanics

 2.6 Canonical Quantization of Classical Fields

 2.7 The Structure of the Vacuum State

 2.8 Summary

……

3 Symmetries and Conservation Laws

4 From Dyson's Formula to Feynman Fules

5 Differential Transition Probabilities and Predictions

6 Representations of the Lorentz Group

7 Two-Component Spinor Fields

8 Four-Component Spinor Fields

9 Vector Fields and Gauge Invariance

10 Reformulation Scattering Theory

11 Functional Integral Quaantiztion

12 Quantiztation of Gauge Theories

13 Anomalies and Vacua in Gauge Theories

14 SU(3)Representation Theory

15 The Structure of the Standard Model

16 Hadrons, Flavor Symmetry, and Nucleon-Pion Interactions

17 Tree-Level Applications of the Standard Model

18 Regularization and Renormalization

19 Renormalization of QED: Three primitive Divergencess

20 Renormalization and Preservation of Symmetries

21 The Renormalization Group Equations

Appendix

References

Index