Relativistic Quantum Fields

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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