Journal of Statistical Physics, Vol. 69, Nos. 1/2, 1992. p. 443-449.
Constructive field theory has come of age. We now have not only an introductory book (B. Simon (2)) and a general book describing the results (J. Glimm and A. Jaffe(3)), but also this new book containing the detailed
description of its major achievements, namely, the construction of nontrivial (i.e., interacting) examples of models of relativistic quantum field theory coming from Lagrangians of two and three space-time dimensions,
superrenormalizable or just renormalizable, and giving rise to theories verifying the Wightman axioms; or the related analysis of some critical points in the statistical mechanics of four-dimensional systems...