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Selected Topics on the General Properties of Quantum Field Theory : World Scientific Lecture Notes in Physics - Franco Strocchi

Selected Topics on the General Properties of Quantum Field Theory

World Scientific Lecture Notes in Physics

Hardcover Published: 1993
ISBN: 9789810211431
Number Of Pages: 188

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This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures. The general structures underlying the conventional local (renormalizable) formulation of gauge QFT are discussed also on the basis of simple models. The mechanism of confinement, non-trivial topology and ?-vacua, chiral symmetry breaking and solution of the U(1) problem are clarified through a careful analysis of the Schwinger model, which settles unclear or debated points.

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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

Preface
Introduction
General Properties of Relativistic Quantum Field Theoryp. 1
Quantum mechanical properties and relativistic invariancep. 1
Relativistic covariance, microcausality and ultraviolet singularitiesp. 7
Wightman functions and their propertiesp. 12
Quantum mechanical interpretation of correlation functions. Reconstruction theoremp. 17
Analyticity Properties of Wightman Functionsp. 22
Spectral condition and analytic continuation to the forward tubep. 22
Lorentz covariance and analyticity in the extended tubep. 27
Locality and analyticity in the permuted extended tubep. 30
Euclidean Quantum Field Theoryp. 33
The Schwinger functionsp. 33
Euclidean invariance and symmetryp. 36
Reflection positivityp. 39
Cluster propertyp. 42
Laplace transform conditionp. 43
Reconstruction of relativistic QFT from euclidean QFTp. 48
Examplesp. 52
The free scalar fieldp. 52
The generalized free fieldp. 57
The derivative coupling modelp. 58
The free euclidean fieldp. 63
The current operator. Schwinger termsp. 65
Some General Results in QFTp. 70
TCP theoremp. 70
Spin-Statistics theoremp. 77
The local structure of QFT. The Reeh-Schlieder theoremp. 80
Local Formulation of Gauge Theoriesp. 83
Local and renormalizable gauges. Local charged field algebrap. 83
Gauss' law and localityp. 85
Local and non-local gaugesp. 87
Physical interpretation. Subsidiary conditionp. 91
Hilbert space structure conditionp. 96
Modified Wightman axiomsp. 98
Appendix 1. General results on indefinite inner product spacesp. 105
Examplesp. 110
Free quantum electrodynamicsp. 110
The massless scalar field in two dimensionsp. 114
Fermion bosonizationp. 121
The Schwinger modelp. 126
Gauge invariance and massp. 128
Confinement of charged particlesp. 130
Large gauge transformations and vacuum structurep. 139
Breaking of chiral symmetry and mass gap. (Solution of the U(1) problem)p. 146
The Thirring modelp. 154
Appendix 2. Remark on the general properties of local formulations of gauge theoriesp. 158
Exercisesp. 164
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810211431
ISBN-10: 9810211430
Series: World Scientific Lecture Notes in Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 188
Published: 1993
Country of Publication: SG
Dimensions (cm): 21.84 x 15.75  x 1.52
Weight (kg): 0.36

Earn 357 Qantas Points
on this Book