Axiomatic and constructive approaches to quantum field theory
first aim to establish it on precise, non-perturbative bases:
general axioms and rigorous definition of specific theories
respectively. From the viewpoint of particle physics, the goal is
then to develop a relativistic scattering theory, including
particle analysis and the derivation of general properties of
collision amplitudes. Taking into account successive improvements,
this book provides a modern, self-contained, and coherent
presentation of important developments from the last twenty years,
most of which have not been treated or discussed in detail in
earlier books. These developments include in particular the
axiomatic derivation, in massive theories, of general causal and
momentum-space analyticity properties of multiparticle collision
amplitudes; the constructive definition, initially in the
(unphysical) euclidean space, of various models including
non-super-renormalizable theories treated in the 1980s via
phase-space expansions; and the subsequent constructive approach to
scattering theory, which provides information on the mass spectrum,
asymptotic completeness, and multiparticle structure in
increasingly higher energy regions.
Originally published in 1993.
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 paperback editions preserve the original texts of these
important books while presenting them in durable paperback
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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