Iagolnitzer Scattering in Quantum Field Theories

The Axiomatic and Constructive Approaches
Course Book
ISBN: 978-1-4008-6316-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 314 Seiten

Reihe: Princeton Series in Physics

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.

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Autoren/Hrsg.

Iagolnitzer, Daniel

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

FrontMatter, pg. i
Contents, pg. v
Preface, pg. ix
Introduction, pg. xiii
CHAPTER I. The Multiparticle S Matrix, pg. 1
CHAPTER II. Scattering Theory in Axiomatic Field Theory, pg. 55
CHAPTER III. Euclidean Constructive Field Theory, pg. 149
CHAPTER IV. Particle Analysis in Constructive Field Theory, pg. 208
Mathematical Appendix: Distributions, analytic Junctions, and microlocal analysis, pg. 271
Bibliography, pg. 279
References, pg. 281
Index, pg. 287