An Introduction To Relativistic Quantum Field Theory [1st, edition, second corrected printing]

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English Pages [932] Year 1961

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An Introduction To Relativistic Quantum Field Theory [1st, edition, second corrected printing]

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  • a second, corrected printing from 1962, I harvested from Internet Archive, before the deluge of lawsuits made it impossible to download many of the pdf's to Calibre DeDRM.

Table of contents :
An Introduction To Relativistic Quantum Field Theory
Title Page
Copyright
Dedication
Contents
Foreword By H. A. Bethe
Preface
Part One: The One-Particle Equations
1 Quantum Mechanics And Symmetry Principles
1a. Quantum Mechanical Formalism
1b. Schrodinger And Heisenberg Pictures
1c. Nonrelativistic Free-Particle Equation
1d. Symmetry And Quantum Mechanics
1e. Rotations And Intrinsic Degrees Of Freedom
1f. The Four-Dimensional Rotation Group
2 The Lorentz Group
2a. Relativistic Notation
2b. The Homogeneous Lorentz Group
2c. The Inhomogeneous Lorentz Group
3 The Klein-Gordon Equation
3a. Historical Background
3b. Properties Of Solutions Of K-G Equation
3c. The Position Operator
3d. Charged Particles
4 The Dirac Equation
4a. Historical Background
4b. Properties Of The Dirac Matricies
4c. Relativistic Invariance
4d. Solutions Of The Dirac Equation
4e. Normalization And Orthogonality Relations: Traces
4f. Foldy-Wouthuysen Representation
4g. Negative Energy States
4h. Dirac Equation In External Field---Charge Conjugation
5 The Zero Mass Equations
5a. The Two-Component Theory Of The Neutrino
5b. The Polarization States Of Mass Zero Particles
5c. The Photon Equation
Part Two: Second Quantization
6 Second Quantization: Nonrelativistic Theory
6a. Permutations And Transpositions
6b. Symmetric And Antisymmetric Wave Functions
6c. Occupation Number Space
6d. The Symmetric case
6e. Creation And Annihilation Operators
6f. Fock Space
6g. The Antisymmetric case
6h. Representation Of Operators
6i. Heisenberg Picture
6j. Noninteracting Multiparticle Systems
6k. Hartree-Fock Method
7 Relativistic Fock Space Methods
7a. The Neutral Spin 0 Boson Case
7b. Lorentz Invariance
7c. Configuration Space
7d. Connection With Field Theory
7e. The Field Aspect
7f. The Charged Scalar Field
7g. Conservation Laws And Lagrangian Formalism
7h. The Pion System
8 Quantization Of The Dirac Field
8a. The Commutation Rules
8b. Configuration Space
8c. Transformation Properties
8d. The Field Theoretic Description Of Nucleons
9 Quantization Of The Electromagnetic Field
9a. Classical Lagrangian
9b. Quantization: The Gupta-Bleuler Formalism
9c. Transformation Properties
Part Three: The Theory Of Interacting Fields
10 Interaction Between Fields
10a. Symmetries And Interactions
10b. Restrictions Due To Space-Time Symmetries
10c. Electromagnetic Interactions
10d. The Meson-Nucleon Interaction
10e. The Strong Interactions
10f. The Weak Interactions
10g. The Equivalence Theorem
11 The Formal Theory Of Scattering
11a. Potential Scattering
11b. The Lippmann-Schwinger Equations
11c. The Dirac Picture
11d. Unitarity Of The S-Matrix
11e. The Reactance matrix
11f. The U-Matrix
12 Simple Field Theoretic Models
12a. The Scalar Field
12b. The Lee Model
12c. Other Simple Models
12d. The Chew-Low Theory
13 Reduction Of S-Matrix
13a. Formal Introductions
13b. The Scattering Of A Neutral Meson By A Nucleon
13c. Wick's Theorem
13d. The Representation Of The Invariant Functions
14 Feynman Diagrams
14a. Interaction With External Electromagnetic Field
14b. Feynman Diagrams For Interacting Fields
14c. Momentum Space Considerations
14d. Cross Sections
14e. Examples
1 Compton Scattering
2 Pion Photoproduction
3 Pion Decay
4 Beta Decay Of Neutron
14f. Symmetry Principles And S-Matrix
15 Quantum Electrodynamics
15a. The Self-Energy Of A Fermion
15b. Mass Renormalization And The Nonrelativistic Lamb Shift
15c. Radiative Corrections To Scattering
15d. The Anomalous Magnetic Moment And The Lamb Shift
15e. Vacuum Polarization
15f. Applications
15g. The Furry Picture
15h. Renormalization In Meson Theory
16 Quantitative Renormalization Theory
16a. Primitively Divergent Diagrams
16b. The Renormalizability Of Quantum Electrodynamics
16c. The Separation Of Divergences From Irreducible Graphs
16d. The Separation Of Divergences From Reducible Graphs
16e. The Ward Identity
16f. Proof Of Renormalizability
16g. The Meaning Of Charge Renormalization
16h. General Remarks
Part Four: Formal Developments
17 The Heisenberg Picture
17a. Vacuum Expectation Values Of Heisenberg Operators
17b. The Lehmann Spectral Representation
17c. The Magnitude Of The Renormalization Constants
17d. The S-Matrix In The Heisenberg Picture
17e. Low Energy Theorems
17f. The Bound State Problem
18 The Axiomatic Formulation
18a. Wightman Formulation
18b. The LSZ Formulation Of Field Theory
18c. Integral Representations Of A Causal Commutator
18d. Dispersion Relations
18e. Outlook
Problems And Suggested Further Reading
References
Index
Compendium Of Useful Formula
Back Cover

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