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　　分類: 图书,进口原版书,科学与技术 Science & Techology ,

作者： A.V.Smilga 著

出 版 社： Pengiun Group (USA)

出版时间： 2001-12-1字数：版次： 1页数： 322印刷时间： 2001/11/01开本：印次：纸张： 胶版纸I S B N ： 9789810243319包装： 精装内容简介

Quantum chromodynamics is the fundamental theory of strong interactions. It is nphysical theory describing Nature. Lectures on Quantum Chromodynamics concentrates,however, not on the phenomenological aspect of QCD; books with comprehensivecoverage of phenomenological issues have been written. What the reader will findin this book is a profound discussion on the theoretical found, liQns of QCD withemphasis on the nonperturbative formulation of the theory: What is gouget symmerry

on the classical and on the quantum level. What ~s the path integral m fleld theoryHow to define the path integral on the lattice, keeping intact as many symmetriesof the continuum theory as possible? What is the QCD vacuum state？ What is theeffective low energy dynamics of QCD? How do the ITEP sum rules work？Whathappens if we heat and/or squeeze hadronic matter？Perturbative issues are alSodiscussed: How to calculate Feynman graphs? What is the BRST symmetry? What

is the meaning of the renormalization procedure? How to resum infrared andcollinear singularities? And so on.The book Js an outgrowth of the course of lectures given by the author for graduatestudents at ITEP in Moscow. Much extra material has been added.

目录

Preface

Notation and Conventions

Introduction: Some History

PART 1: FOUNDATIONS

Lecture 1 Yang-Mills Field

1.1 Path Ordered Exponentials. Invariant Actions

1.2 Classical Solutions

Lecture 2 Instantons

2.1 Topological Charge

2.2 Explicit Solutions

Lecture 3 Path Integral

3.1 Conventional ApproachQuantum

3.2 Euclidean Path Integral

3.3 Holomorphic Representation

3.4 Grassmann Dynamic VariablesMechanics

Lecture 4 Quantization of Gauge Theories

4.1 Dirac Quantization Procedure

4.2 Path Integral on the Lattice

Lecture 5 0-Vacuum

5.1 Quantum Pendulum

5.2 Large Gauge Transformations in Non-Abelian Theory

PART 2: PERTURBATION THEORY

Lecture 6 Diagram Technique in Simple and ComplicatedTheories

6.1 Feynman Rules from Path Integral

6.2 Fixing the Gauge

Lecture 7 When the Gauge is Fixed

7.1 Gribov Copies

7.2 Ward Identities

7.3 Ghosts and Unitarity

7.4 BRST Quantization

Lecture 8 Regularization and Renormalization

8.1 Different Regularization Schemes

8.2 Renormalized Theory as an Effective Theory. Slavnov-TaylorIdentities

Lecture 9 Running Coupling Constant

9.1 One-loop Calculations

9.2 Renormalization Group. Asymptotic Freedom and Infrared Slav-ery

9.3 Observables. Ambiguities. Anomalous Dimensions

Lecture 10 Weathering Infrared Storms

10.1 Bloch Nordsieck Cancellation

10.2 Non-Abelian Complications. Coherent States

Lecture 11 Collinear Singularities: Theory and Phenomenol- ogy

11.1 Double Logarithmic Asymptotics

11.2 Jet Cross Sections

11.3 DIS and KLN

PART 3: NONPERTURBATIVE QCD

APPENDIX UNITARY GROUPS

BIBLIOGRAPHY

INDEX

 

 

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