Foundations Of Quantum Chromodynamics: An Introduction to Perturbative Methods in Gauge Theories (Paperback)

Taizo Muta

  • 出版商: World Scientific Pub
  • 出版日期: 2010-01-01
  • 售價: $2,910
  • 貴賓價: 9.5$2,765
  • 語言: 英文
  • 頁數: 409
  • 裝訂: Paperback
  • ISBN: 9812793542
  • ISBN-13: 9789812793546
  • 相關分類: 量子 Quantum
  • 海外代購書籍(需單獨結帳)

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商品描述

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

商品描述(中文翻譯)

本書詳細介紹了微擾量子色動力學(perturbative QCD)的技巧,從場論開始進行深入的教學。除了廣泛討論重整化群技術、算子產物展開形式及其在短距離反應中的應用外,本書還全面介紹了規範理論。書中提供了例子和練習,以加強對重要主題的討論。這是一本關於量子色動力學的理想教科書,對於高能物理、核物理和數學物理的研究人員和研究生來說是必不可少的。

目錄:
引言:
一般概述
夸克和色彩
需要漸近自由
符號和慣例

量子色動力學的要素:
規範原理
量子化
費曼規則
正規化
重整化

重整化群方法:
重整化群
重整化群方程
解重整化群方程
漸近自由
反常維度

算子產物展開:
算子產物
微擾展開中的算子產物展開
係數函數

物理應用:
e+e-湮滅的總截面
深度非彈性電子-強子散射
重整化方案的依賴性
噴流
分解與Drell-Yan過程

紅外發散:
一圈示例
證明QED中軟光子抵消的一般論證