Lectures On Qcd Applications

The two-volume set Lectures on QCD provides an introductory overview of Quantum Chromodynamics, the theory of strong interactions. In a series of pedagogically written articles based on lectures given over the years to graduate students, the fundamentals of QCD are discussed and significant application areas are described. The field-theoretic basis of QCD is the focus of the first volume, while the application of QCD to the phenomenology of strong interactions forms the subject of the second volume.

The two-volume set Lectures on QCD provides an introductory overview of Quantum Chromodynamics, the theory of strong interactions. In a series of pedagogically written articles based on lectures given over the years to graduate students, the fundamentals of QCD are discussed and significant application areas are described. The field-theoretic basis of QCD is the focus of the first volume, while the application of QCD to the phenomenology of strong interactions forms the subject of the second volume.

This is a collection of pedagogically written articles on quantum chromodynamics. Based on lectures given over the past years to graduate students, the articles are ideally suited as an introduction into modern research. The book contains concepts and applications of lattice gauge theories, finite temperature field theory, an article on the method of sum rules in QCD, and so on. Furthermore axial anomalies, the Skyrme model and recent developments of supersymmetric QCD are discussed in depth. A second volume on phenomenology is in preparation.

Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics. It can be useful to the specialists in various subjects using random matrices, from PhD students to confirmed scientists.

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.