Квантовая теория поля в физике конденсированного состояния

The past few years have witnessed great advances in the development of quantum field theory, particularly in its application to problems in condensed matter physics. This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics. The first part of the book outlines the essential methods of quantum field theory, including path integrals, Feynman diagrams, and renormalization. These are then applied to such topics as electrodynamics in metals, relativistic fermions, and the Aharonov Bohm effect. The rest of the book is dedicated to the use of non-perturbative techniques, and deals with strongly fluctuating spin systems, conformal symmetry and Kondo chains, as well as a number of related problems. By presenting the basic methods of this subject, and emphasizing the universality of the concepts involved, this book will be of great use to graduate students and established researchers in condensed matter physics and statistical mechanics, and to anyone with an interest in the modern techniques of quantum field theory. This Book Provides A Self-contained Introduction To The Basic Tools And Concepts Of Quantum Field Theory, And Goes On To Demonstrate Their Use In A Range Of Topics In Statistical Mechanics And Condensed Matter Physics. The First Part Of The Book Outlines The Key Methods Of Quantum Field Theory, Including Path Integrals, Feynman Diagrams, And Renormalization. These Are Then Applied To Such Topics As Electrodynamics In Metals, Relativistic Fermions And The Aharonov-bohm Effect. The Rest Of The Book Is Dedicated To The Use Of Non-perturbative Techniques, And Deals With Strongly Fluctuating Spin Systems, Conformal Symmetry And Kondo Chains, As Well As A Number Of Related Problems. The Book Will Be Useful To Graduate Students And Established Researchers In Condensed Matter Physics And Statistical Mechanics, And To Anyone With An Interest In The Modern Techniques Of Quantum Field Theory. This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau¬nFermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.