Compiled to illustrate the recent history of quantum field theory
and its trends, this collection of selected reprints by Frohlich
aims to be a comprehensive guide of the more mathematical aspects
of the subject. Results and methods of the past 15 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 theory of phase transitions and spontaneous
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 (labda phi) to the power 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. The volume begins with a comprehensive
introduction by Jurg Frohlich.
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