Lectures on quantum chromodynamics / Andrei Smilga.

Format:

Book

Author/Creator:

Smilga, A. V.

Language:

English

Subjects (All):

Quantum chromodynamics.

Particles (Nuclear physics).

Physical Description:

1 online resource (352 p.)

Edition:

1st ed.

Other Title:

Quantum chromodynamics

Place of Publication:

River Edge, NJ : World Scientific, c2001.

Language Note:

English

Summary:

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

Contents:

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

Notes:

Description based upon print version of record.

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

ISBN:

9786611956264

9781281956262

1281956260

9789812810595

9812810595

OCLC:

815755933