05159nam 2200649Ia 450 991045354680332120200520144314.01-281-95626-09786611956264981-281-059-5(CKB)1000000000538099(EBL)1681624(OCoLC)815755933(SSID)ssj0000190874(PQKBManifestationID)11178480(PQKBTitleCode)TC0000190874(PQKBWorkID)10180414(PQKB)10051661(MiAaPQ)EBC1681624(WSP)00004443(Au-PeEL)EBL1681624(CaPaEBR)ebr10255877(CaONFJC)MIL195626(EXLCZ)99100000000053809920020314d2001 uy 0engur|n|---|||||txtccrLectures on quantum chromodynamics[electronic resource] /Andrei SmilgaRiver Edge, NJ World Scientificc20011 online resource (352 p.)Description based upon print version of record.981-02-4331-6 Includes bibliographical references (p. 315-317) and index.Contents ; 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 SolutionsLecture 3 Path Integral in Quantum Mechanics 3.1 Conventional Approach ; 3.2 Euclidean Path Integral ; 3.3 Holomorphic Representation ; 3.4 Grassmann Dynamic Variables ; Lecture 4 Quantization of Gauge Theories ; 4.1 Dirac Quantization Procedure ; 4.2 Path Integral on the LatticeLecture 5 θ-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 Complicated Theories ; 6.1 Feynman Rules from Path Integral ; 6.2 Fixing the Gauge ; Lecture 7 When the Gauge is Fixed...; 7.1 Gribov Copies7.2 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-Taylor Identities ; Lecture 9 Running Coupling Constant9.1 One-loop Calculations 9.2 Renormalization Group. Asymptotic Freedom and Infrared Slavery ; 9.3 Observables. Ambiguities. Anomalous Dimensions ; Lecture 10 Weathering Infrared Storms ; 10.1 Bloch-Nordsieck Cancellation ; 10.2 Non-Abelian Complications. Coherent StatesLecture 11 Collinear Singularities: Theory and Phenomenology Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. <i>Lectures on Quantum Chromodynamics</i> 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 paQuantum chromodynamicsParticles (Nuclear physics)Electronic books.Quantum chromodynamics.Particles (Nuclear physics)539.7548Smilga A. V932460MiAaPQMiAaPQMiAaPQBOOK9910453546803321Lectures on quantum chromodynamics2098356UNINA