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Scattering in quantum field theories : the axiomatic and constructive approaches

Author: Daniel Iagolnitzer
Publisher: Princeton, N.J. : Princeton University Press, ©1993.
Series: Princeton series in physics.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, nonperturbative 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.
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Details

Document Type: Book
All Authors / Contributors: Daniel Iagolnitzer
ISBN: 0691085897 9780691085890
OCLC Number: 25832955
Description: xxi, 290 p. : ill. ; 25 cm.
Contents: 1. The multipaticles S matrix.--2. Scattering theory in axiomatic field theory.--3. Euclidean constructive field theory.--4. particle analysis in constructive field theory.
Series Title: Princeton series in physics.
Responsibility: Daniel Iagolnitzer.
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Abstract:

Axiomatic and constructive approaches to quantum field theory first aim to establish it on precise, nonperturbative 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 nonsuper-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.

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