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Non-Perturbative Quantum Field Theory: Mathematical Aspects and Applications Jürg Frohlich

Non-Perturbative Quantum Field Theory: Mathematical Aspects and Applications

Jürg Frohlich

Published April 29th 1992
ISBN : 9789810204334
Hardcover
841 pages
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 About the Book 

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jurg Frohlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject.MoreCompiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jurg Frohlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jurg Frohlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 -- theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on random geometry. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.