Foundations Of Quantum Chromodynamics: An Introduction to Perturbative Methods in Gauge Theories (Paperback) (量子色動力學基礎：規範理論中的微擾方法入門)

This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.

Contents

Introduction:

General Survey
Quarks and Color
Need for Asymptotic Freedom
Notation and Conventions

Elements of Quantum Chromodynamics:

Gauge Principle
Quantization
Feynman Rules
Regularization
Renormalization

Renormalization Group Method:

Renormalization Group
Renormalization Group Equations
Solution of the Renormalization Group Equations
Asymptotic Freedom
Anomalous Dimensions

Operator Product Expansion:

Operator Products
Operator-Product Expansion in Perturbation Theory
Coefficient Functions

Physical Applications:

Total Cross Section for e+e- Annihilations
Deep Inelastic Lepton-hadron Scatterings
Renormalization-scheme Dependence
Jets
Factorization and the Drell-Yan Process

Infrared Divergence:

One-loop Example
Proof of the Soft-photon Cancellation in QED
General Arguments for Infrared Cancellations