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Lectures on the Foundations­ of Quantum Chromodynamics

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Format
Hardback, 352 pages
Published
Singapore, 1 November 2001

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.


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Product Description

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.

Product Details
EAN
9789810243319
ISBN
9810243316
Dimensions
22.5 x 16.2 x 2.3 centimeters (0.65 kg)

Table of Contents

Foundations: Yang-Mills field; instantons; path integral in quantum mechanics; quantization of gauge theories. Perturbation theory: diagram technique in simple and complicated theories; when the gauge is fixed; regularization and renormalization; running coupling constant; weathering infrared storms; collinear singularities - theory and phenomenology. Nonperturbative QCD: symmetries - anomalous and not; quarks on Euclidean lattice; aspects of chiral symmetry; mesoscopic QCD; fairy QCD; ITEP sum rules - the duality festival; hot and dense QCD; confinement.

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