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The Advanced Study Institute on Quantum Flavordynamics, Quantum Chromodynamics and Unified Theories was held on the campus th of the University of Colorado at Boulder from July 9 through July 27th of 1979. There has been a rapid progress in the understanding of weak, electromagnetic and strong interactions and their unification during the past few years. The purpose of the Institute was to have a group of lecturers active in these areas of research give a series of lectures on various aspects of these topics beginning at the elementary level and ending with the up-to-date developments. There were three lecturers, Professors S. Ellis, R. Field and C. H. Llewellyn Smith who covered the different but related aspects of Quantum Chromodynamics. Their lectures were well coordinated, but some overlap was inevitable. Dr. Buras gave two lectures on QCD corrections beyond the leading order. Professor D. Gross covered the nonperturbative aspects and a possible mechanism of quark confinement. At a more phenomenological level, Professor C. De Tar covered the bag models. The subject matter of electro weak interactions was covered by Professor G. Altarelli. Professor J. Wess gave six lectures on supersymmetry and supergravity. All these lectures with the exception of those of Professor D. Gross are incorporated in this volume. The contents of Professor Gross' lectures are available elsewhere and therefore only references and problems are included here. In addition to the above lectures, there were workshop-like discussion sessions.
Quantum chromodynamics is the fundamental theory of strong interactions. It is a physical theory describing Nature. Lectures on Quantum Chromodynamics 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.
This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.
This is a self-contained introduction to perturbative and nonperturbative quantum chromodynamics. Relativistic quantum field theory is recapitulated and scattering theory is discussed in the framework of scalar quantum electrodynamics. Then the gauge theory of quarks and gluons is introduced, before moving on to an advanced discussion of perturbative and nonperturbative techniques in state-of-the-art QCD.
Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL.
This volume contains the contributions to the INTERNATIONAL SUMMER INSTITUTE ON THEORETICAL PHYSICS 1980 held from September 1st to September 12th in Bad Honnef, Germany. This Institute was organized by Wuppertal University. It was the eleventh in a series of Summer Schools on particle physics carried out by German Universities. The Institute was aimed to review the present status of gauge theories in elementary particle physics, with emphasis both on the phenomenological and formal aspects. The first part of the volume covers the recent progress in the development of perturbative methods both in quantum chromodynamics (QCD) and flavor dynamics (QFD). Applications to available data from electron positron storage rings and deep inelastic scattering are discussed. The second part presents new results on classical solutions and non-perturbative methods in gauge theories and related field theories like non linear a-models. A very topical account is given on the application of Monte Carlo methods within lattice gauge theories. At present these methods appear to be the most promising technique to establish the quark confinement hypothesis within the framework of non-Abelian gauge theories. The volume is closed with a progress report on the present understanding of sup~rgravity and its relation to grand unification schemes. The lectures on Grand Unified Theories given by Dr. D. V. Nanopoulos at the Bad Honnef meeting can be found in the proceedings of the 1980 Rencontre de Moriond (Ed. J. Tran Thanh Van).