Barry Simon's book both summarizes and introduces the remarkable
progress in constructive quantum field theory that can be
attributed directly to the exploitation of Euclidean methods.
During the past two years deep relations on both the physical level
and on the level of the mathematical structure have been either
uncovered or made rigorous. Connections between quantum fields and
the statistical mechanics of ferromagnets have been established,
for example, that now allow one to prove numerous inequalities in
quantum field theory. In the first part of the book, the author
presents the Euclidean methods on an axiomatic level and on the
constructive level where the traditional results of the P(O)2
theory are translated into the new language. In the second part
Professor Simon gives one of the approaches for constructing models
of non-trivial, two-dimensional Wightman fields--specifically, the
method of correlation inequalities. He discusses other approaches
briefly. Drawn primarily from the author's lectures at the
Eidenossiehe Technische Hochschule, Zurich, in 1973, the volume
will appeal to physicists and mathematicians alike; it is
especially suitable for those with limited familiarity with the
literature of this very active field. Originally published in 1974.
The Princeton Legacy Library uses the latest print-on-demand
technology to again make available previously out-of-print books
from the distinguished backlist of Princeton University Press.
These editions preserve the original texts of these important books
while presenting them in durable paperback and hardcover editions.
The goal of the Princeton Legacy Library is to vastly increase
access to the rich scholarly heritage found in the thousands of
books published by Princeton University Press since its founding in
1905.
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