Articles liés à Quantum Field Theory and Critical Phenomena
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Synopsis
Over the last twenty years quantum field theory has become not only the framework for the discussion of all fundamental interactions except gravity, but also that for the understanding of second-order phase transitions in statistics mechanics. This advanced text is based on graduate courses and summer schools given over a number of years by the author. It approaches the subject in terms of path and functional integrals. A Euclidean metric has been adopted and the language of partition and correlation functions is used. Renormalization and the renormalization group are discussed. A major part of the book is then devoted to critical phenomena before the book concludes with a discussion of the role of instantons in quantum field theory. This new edition includes an expanded discussion of two-dimensional field theory models and bosonization techniques. It also examines the latest developments in the problem of the Gross-Neveu model in arbitrary dimensions and matrix models of two-dimensional quantum gravity.
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Présentation de l'éditeur
The book is an introduction to quantum field theory and renormalization group.It shows that these frameworks are essential for the understanding of phenomena belonging to many different areas of physics, which range from phase transitions in macroscopic systems to the theory of fundamental interactions. This advanced new edition is based on graduate courses and summer schools given by the author over a number of years. Although there are several good textbooks on QFT, this is the first to emphasize the common aspects of particle physics and the theory of critical phenomena in a unified framework. The book has been fully updated, with about 50% new material added. Three new chapters have been included: an introduction to non-relativistic quantum statistical physics; a chapter on critical phenomena in non-magnetic systems, polymers, liquid-vapour, and helium superfluid transitions; and a chaper on finite temperature relativistic quantum field theory. The book can be roughly divided into four parts: chapters 1-12 deal with general field theory, functional integrals, and functional methods. In chapters 13-21, renormalization properties of theories with symmetries are studied and specific applications to particle physics are emphasized. Chapters 23-37 are devoted to critical phenomena. Chapters 39-43 describe the role of instantons in quantum mechanics and field theory. Exercises that were originally included in previous editions will be supplied online at www-spht.ceafr/articles/T02/001.
Revue de presse
Review from previous edition:
This excellent book offers a systematic presentation of the quantum field theory approach in describing all fundamental interactions in particle physics and the second order phase transition in statistical mechanics (Giuseppe Mussardo, Mathematical Reviews)
...a remarkable achievement... (I. D. Lawrie, Contemporary Physics)
This excellent book is surely destined to become a valuable and standard work of reference. (Lewis Ryder, Times Higher Educational Supplement)
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