Relativistic Quantum Fields

✍ Scribed by James D. Bjorken, Sidney D. Drell

• Publisher: McGraw-Hill Book Company, Inc
• Year: 1965
• Tongue: English
• Leaves: 413
• Series: International Series In Pure And Applied Physics
• Edition: 1st edition, 8th Printing
• Category: Library

✦ Synopsis

The well known parts of cannonical quantum field theory applied to abelian fields,circa 1965.

✦ Table of Contents

Relativistic Quantum Fields (1965) Chapters 11-19
Relativistic Quantum Fields
Title Page
Copyright
Preface
Contents
11 General Formalism
Introduction
11.1 Implications Of A Description In Terms Of Local Fields
11.2 The Canonical Formalism And Quantization Procedure For Particles
11.3 Canonical Formalism And Quantization For Fields
11.4 Symmetries And Conservation Laws
11.5 Other Formulations
Problems
12 The Klein-Gordon Field
12.1 Quantization And Particle Interpretation
12.2 Symmetry Of The States
12.3 Measurability Of The Field And Microscopic Causality
12.4 Vacuum Fluctuations
12.5 The Charged Scalar Field
12.6 The Feynman Propagator
Problems
13 Second Quantization Of The Dirac Field
13.1 Quantum Mechanics Of n Identical Particles
13.2 The Number Representation For Fermions
13.3 The Dirac Theory
13.4 Momentum Expansions
13.5 Relativistic Covariance
13.6 The Feynman Propagator
Problems
14 Quantization Of The Electromagnetic Field
14.1 Introduction
14.2 Quantization
14.3 Covariance Of The Quantization Procedure
14.4 Momentum Expansions
14.5 Spin Of The Photon
14.6 The Feynman Propagator For Transverse Photons
Problems
15 Interacting Fields
15.1 Introduction
15.2 The Electrodynamic Interaction
15.3 Lorentz And Displacement Invariance
15.4 Momentum Expansions
15.5 The Self-Energy Of The Vacuum; Normal Ordering
15.6 Other Interactions
15.7 Symmetry Properties Of Interactions
15.8 Strong Couplings Of Pi Mesons And Nucleons
15.9 Symmetries Of Strange Particles
15.10 Improper Symmetries
15.11 Parity
15.12 Charge Conjugation
15.13 Time Reversal
15.14 The TCP Theorem
Problems
16 Vacuum Expectation Values And The S Matrix
16.1 Introduction
16.2 Properties Of Physical States
16.3 Construction Of In-Fields And In-States; The Asymptotic Condition
16.4 Spectral Representation For The Vacuum Expectation Value Of The Commutator And The Propagator For A Scalar Field
16.5 The Out-Fields And Out-States
16.6 The Definition And General Properties Of The S Matrix
16.7 The Reduction Formula For Scalar Fields
16.8 In-And Out-Fields And Spectral Representation For The Dirac Theory
16.9 The Reduction Formula For Dirac Fields
16.10 In-And Out-States And The Reduction Formula For Photons
16.11 Spectral Representation For Photons
16.12 Connection Between Spin And Statistics
Problems
17 Perturbation Theory
17.1 Introduction
17.2 The U Matrix
17.3 Perturbation Expansion Of Tau Functions And The S Matrix
17.4 Wick's Theorem
17.5 Graphical Representation
17.6 Vacuum Amplitudes
17.7 Spin And Isotopic Spin; Pi-Nucleon Scattering
17.8 Pi-Pi Scattering
17.9 Rules For Graphs In Quantum Electrodynamics
17.10 Soft Photons Radiated From A Classical Current Distribution; The Infrared Catastrophe
Problems
18 Dispersion Relations
18.1 Causality And The Kramers-Kronig Relation
18.2 Application To High-Energy Physics
18.3 Analytic Properties Of Vertex Graphs In Perturbation Theory
18.4 Genralization To Arbitrary Graphs And The Electrical Curcuit Analogy
18.5 Threshold Singularities For The Propagator
18.6 Singularities Of A General Graph And The Landau Conditions
18.7 Analytic Structure Of Vertex Graphs; Anomalous Thresholds
18.8 Dispersion Relations For A Vertex Function
18.9 Singularities Of Scattering Amplitudes
18.10 Applications To Forward Pion-Nucleon Scattering
18.11 Axiomatic Derivation Of Forward Pi-Nucleon Dispersion Relations
18.12 Dynamical Calculations Of Pi-Pi Scattering Using Dispersion Relations
18.13 Pion Electromagnetic Structure
Problems
19 Renormalization
19.1 Introduction
19.2 Proper Self-Energy And Vertex Parts, And The Electron-Positron Kernel
19.3 Integral Equations For The Self-Energy And Vertex Parts
19.4 Integral Equations For Tau Functions And The Kernel K; Skeleton Graphs
19.5 A Topological Theorem
19.6 The Ward Identity
19.7 Definition Of Renormalization Constants And The Renormalization Prescription
19.8 Summary; The Renormalized Integral Equations
19.9 Analytic Continuation And Intermediate Renormalization
19.10 Degree Of Divergence; Criterion For Convergence
19.11 Proof That The Renormalized Theory Is Finite
19.12 Example Of Fourth-Order Charge Renormalization
19.13 Low-Energy Theorem For Compton Scattering
19.14 Asymptotic Behavior Of Feynman Amplitudes
19.15 The Renormalization Group
Problems
Appendix A Notation
Appendix B Rules For Feynman Graphs
Appendix C Commutator And Propagator Functions
Index w/ Page Links
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