This page is to record the reference:
Quantum physics: a functional integral point of view
Springer (1981, 1987)
535 pages
on the rigorous path integral formulation of quantum mechanics and (mostly free) quantum field theory (constructive quantum field theory).
In order to construct a fully rigorous definition of a quantum field theory, the authors use the Osterwalder-Schrader axioms to define a notion of a quantum field that is equivalent to the Wightman axioms, see Osterwalder-Schrader theorem.
Note that the ultimate goal of the program, namely the fully rigorous construction of the standard model of particle physics, has not been achived (yet) and has become one of the famous Millennium Problems of the Clay institute.
Online reviews of the first edition of the book (the first one along with a book of B. Simon):
Edward Nelson, Bull. AMS 8, Number 2 (1983), 378-380. link
Last revised on June 11, 2025 at 17:35:07. See the history of this page for a list of all contributions to it.