量子色动力学讲义/LECTURES ON QUANTUM CHROMODYNAMICS

作者简介

Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing nature. This book concentrates, however, not on the phenomenological aspect of QCD; books with comprehensive coverage of phenomenological issues have been written. What the reader will find in this book is a profound discussion on the theoretical foundations of QCD with emphasis on the nonperturbative formulation of the theory: what is gauge symmetry on the classical and on the quantum level? What is the path integral in field theory? How to define the path integral on the lattice, keeping intact as many symmetries of the continuum theory as possible? What is the QCD vacuum state? What is the effective low energy dynamics of QCD? How do the ITEP sum rules work? What happens if we heat and/or squeeze hadronic matter? Perturbative issues are also discussed: how to calculate Feynman graphs? What is the BRST symmetry? What is the meaning of the renormalization procedure? How to resum infrared and collinear singularities? And so on. The book is an outgrowth of the course of lectures given by the author for graduate students at ITEP in Moscow. Much extra material has been added.

书籍目录

PrefaceNotation and ConventionsIntroduction: Some HistoryPART 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 Approach　Quantum　　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 TheoryPART 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 KLNPART 3:  NONPERTURBATIVE QCDAPPENDIX UNITARY GROUPSBIBLIOGRAPHYINDEX

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