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

2001-11  

World Scientific Pub Co Inc  

Smilga, Andrei  

322  

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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? Whatis 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.

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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