Böcker av Jürg Fröhlich

Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, 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 Jürg Fröhlich.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 ¿¿4 - 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.

Lecturers: Quantum Symmetries in 2D Massive Field Theories; D. Bernard. On Knot and Manifold Invariants; R. Bott. The Metric Aspect of Noncommutative Geometry; A. Connes, J. Lott. Observables, Superselection Sectors, and Gauge Groups; C. Fredenhagen. Non-Compact WZW Conformal Field Theories; K. Gawedzki. S-Matrix Theory for Black Holes; G. 't Hooft. Whitman Theory for Integrable Systems and Topological Quantum Field Theories; I. Krichever. Quantum Groups in Lattice Models; V. Pasquier. Lagrangian Conformal Models; R. Stora. Seminar Speakers: Integrability Properties of the Collective String Field Theory; J. Avan. Correlational Functions of Local Operators in 2D Gravity Coupled to Minimal Matter; Vl.S. Dotsenko. W-Algebras and Langlands-Drinfeld Correspondence; E. Frenkel. Aspects of Quantizing Lorentz Symmetry; A. Schirrmacher. 11 additional articles. Index.

It is not only an overview of current and future research directions in statistical mechanics, but also relates this subject with other branches of contemporary physics and mathematics.All papers in this collection bear Jurg Froehlich's signature in terms of a delicate balance between mathematical rigor and physical significance.