1.

Record Nr.

UNINA9910453546803321

Autore

Smilga A. V

Titolo

Lectures on quantum chromodynamics [[electronic resource] /] / Andrei Smilga

Pubbl/distr/stampa

River Edge, NJ, : World Scientific, c2001

ISBN

1-281-95626-0

9786611956264

981-281-059-5

Descrizione fisica

1 online resource (352 p.)

Disciplina

539.7548

Soggetti

Quantum chromodynamics

Particles (Nuclear physics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 315-317) and index.

Nota di contenuto

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 Solutions

Lecture 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 Lattice

Lecture 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 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-Taylor Identities                                                                                ; Lecture 9 Running Coupling Constant

9.1 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 States

Lecture 11 Collinear Singularities: Theory and Phenomenology

Sommario/riassunto

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 pa