During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on Nonpert. urbat. ive Quantum Field Theory. The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.
Product Identifiers
Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461280538
eBay Product ID (ePID)
189290625
Product Key Features
Author
G. Hooft, A. Jaffe, P.K. Mitter, G. Mack, R. Stora
Publication Name
Nonperturbative Quantum Field Theory
Format
Paperback
Language
English
Subject
Physics
Publication Year
2011
Type
Textbook
Number of Pages
603 Pages
Dimensions
Item Height
244mm
Item Width
170mm
Volume
185
Item Weight
1047g
Additional Product Features
Series Title
Nato Science Series B
Country/Region of Manufacture
United States
Editor
G. Hooft, R. Stora, P.K. Mitter, A. Jaffe, G. Mack