Selected Topics on the General Properties of Quantum Field Theory

By: Franco Strocchi

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Hardcover | 1 December 1992

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188 Pages

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21.59 x 15.24 x 1.27

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This book provides an account of the foundations of quantum field theory, especially the Euclidean formulation. A simple (and rigorous) exposition of the problem concerning the general (nonperturbative) structures of local (renormalizable) formulations of gauge QFT and the general strategy for its solution is discused in a language addressed also to elementary particle theoreticians. It is important to understand the basic mechanisms of confinement, non-trivial topology and *vacua, chiral symmetry breaking which are expected to characterize QCD. This book also aims to settle unclear or debated points on this subject using a treatment close to the conventional local and covariant approach to gauge QFT.

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"In summary, this is a good introduction to general quantum field theory which should be useful to graduate students and to particle physicists who would like to know something about the axiomatic approach." Classical & Quantum Gravity "The charm of the book rests on the lucid style of writing and the wealth of side remarks valuable even to the experts." Mathematics Abstracts

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Preface
Introduction
General Properties of Relativistic Quantum Field Theory	p. 1
Quantum mechanical properties and relativistic invariance	p. 1
Relativistic covariance, microcausality and ultraviolet singularities	p. 7
Wightman functions and their properties	p. 12
Quantum mechanical interpretation of correlation functions. Reconstruction theorem	p. 17
Analyticity Properties of Wightman Functions	p. 22
Spectral condition and analytic continuation to the forward tube	p. 22
Lorentz covariance and analyticity in the extended tube	p. 27
Locality and analyticity in the permuted extended tube	p. 30
Euclidean Quantum Field Theory	p. 33
The Schwinger functions	p. 33
Euclidean invariance and symmetry	p. 36
Reflection positivity	p. 39
Cluster property	p. 42
Laplace transform condition	p. 43
Reconstruction of relativistic QFT from euclidean QFT	p. 48
Examples	p. 52
The free scalar field	p. 52
The generalized free field	p. 57
The derivative coupling model	p. 58
The free euclidean field	p. 63
The current operator. Schwinger terms	p. 65
Some General Results in QFT	p. 70
TCP theorem	p. 70
Spin-Statistics theorem	p. 77
The local structure of QFT. The Reeh-Schlieder theorem	p. 80
Local Formulation of Gauge Theories	p. 83
Local and renormalizable gauges. Local charged field algebra	p. 83
Gauss' law and locality	p. 85
Local and non-local gauges	p. 87
Physical interpretation. Subsidiary condition	p. 91
Hilbert space structure condition	p. 96
Modified Wightman axioms	p. 98
Appendix 1. General results on indefinite inner product spaces	p. 105
Examples	p. 110
Free quantum electrodynamics	p. 110
The massless scalar field in two dimensions	p. 114
Fermion bosonization	p. 121
The Schwinger model	p. 126
Gauge invariance and mass	p. 128
Confinement of charged particles	p. 130
Large gauge transformations and vacuum structure	p. 139
Breaking of chiral symmetry and mass gap. (Solution of the U(1) problem)	p. 146
The Thirring model	p. 154
Appendix 2. Remark on the general properties of local formulations of gauge theories	p. 158
Exercises	p. 164
Table of Contents provided by Blackwell. All Rights Reserved.

Selected Topics on the General Properties of Quantum Field Theory

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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