
1999; 1501 pp; softcover ISBN10: 0821820141 ISBN13: 9780821820148 List Price: US$65 Member Price: US$52 Order Code: QFT/1/2.S See also: Topology, \(C^*\)Algebras, and String Duality  Jonathan Rosenberg Renormalization and Effective Field Theory  Kevin Costello  Ideas from quantum field theory and string theory have had considerable impact on mathematics over the past 20 years. Advances in many different areas have been inspired by insights from physics. In 199697 the Institute for Advanced Study (Princeton, NJ) organized a special yearlong program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. The purpose is eloquently stated in a letter written by Robert MacPherson: "The goal is to create and convey an understanding, in terms congenial to mathematicians, of some fundamental notions of physics ... [and to] develop the sort of intuition common among physicists for those who are used to thought processes stemming from geometry and algebra." These volumes are a written record of the program. They contain notes from several long and many short courses covering various aspects of quantum field theory and perturbative string theory. The courses were given by leading physicists and the notes were written either by the speakers or by mathematicians who participated in the program. The book also includes problems and solutions worked out by the editors and other leading participants. Interspersed are mathematical texts with background material and commentary on some topics covered in the lectures. These two volumes present the first truly comprehensive introduction to this field aimed at a mathematics audience. They offer a unique opportunity for mathematicians and mathematical physicists to learn about the beautiful and difficult subjects of quantum field theory and string theory. Readership Graduate students and research mathematicians working in various areas of mathematics related to quantum field theory. Reviews "An immense amount of valuable material on recent developments. The development of classical supersymmetry by Deligne and collaborators is careful and systematic ... masterful treatment ... the book is a magnificent achievement."  SIAM Review "A concise introduction to the quantum field theory and perturbative string theory, with as much emphasis on a mathematically satisfying exposition and clarity as possible ... will be helpful to all mathematicians and mathematical physicists who wish to learn about the beautiful subject of quantum field theory."  European Mathematical Society Newsletter Table of Contents



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