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The Theory of Photons and Electrons : The Relativistic Quantum Field Theory of Charged Particles with Spin One-half

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概要 Since the discovery of the corpuscular nature of radiation by Planck more than fifty years ago the quantum theory of radiation has gone through many stages of development which seemed to alternate bet...ween spectacular success and hopeless frustration. The most recent phase started in 1947 with the discovery of the electromagnetic level shifts and the realization that the exist ing theory, when properly interpreted, was perfectly adequate to explain these effects to an apparently unlimited degree of accuracy. This phase has now reached a certain conclusion: for the first time in the checkered history of this field of research it has become possible to give a unified and consistent presen tation of radiation theory in full conformity with the principles of relativity and quantum mechanics. To this task the present book is devoted. The plan for a book of this type was conceived during the year 1951 while the first-named author (J. M. J. ) held a Fulbright research scholarship at Cambridge University. During this year of freedom from teaching and other duties he had the opportunity of conferring with physicists in many different countries on the recent developments in radiation theory. The comments seemed to be almost unanimous that a book on quantum electrodynamics at the present time would be of inestimable value to physicists in many parts of the world. However, it was not until the spring of 1952 that work on the book began in earnest.続きを見る
目次 1 General Principles
2 the Radiation Field
3 Relativistic Theory of Free Electrons
4 Interaction of Radiation with Electrons
5 Invariance Properties of the Coupled Fields
6 Subsidiary Condition and Longitudinal Field
7 the S-Matrix
8 Evaluation of the S-Matrix
9 the Divergences in the Iteration Solution
10 Renormalization
11 the Photon-Electron System
12 the Electron-Electron System
13 the Photon-Photon System
14 Theory of the External Field
15 External Field Problems
16 Special Problems
Mathematical Appendix
Appendix A1 the Invariant Functions
A1-1 The homogeneous delta-functions
A1-2 The inhomogeneous delta-functions
A1-3 Relations between the ?-functions
A1-4 Integral representations
A1-5 Explicit expressions
A1-6 The S-functions
Appendix A2 the Gamma-Matrices
A2-1 Various representations
A2-3 The amplitudes of the plane wave solutions
A2-5 Spin sums
A2-6 Polarization sums
Appendix A3 a Theorem on the Representation of the Extended
Lorentz Group by Irreducible Tensors
Appendix A4 the Ordering Theorem
A4-1 The ordering theorem for commuting fields
A4-2 The ordering theorem for anticommuting fields
A4-3 A generalization of the ordering theorem
A4-4 The ordering of chronological products
Appendix A5 on the Evaluation of Certain Integrals
A5-1 Convergent integrals
A5-2 Divergent integrals
A5-3 The integral for the photon self-energy part
A5-4 The integral for the electron self-energy part
Appendix A6 a Limiting Relation for the ?-function
Appendix A7 the Method of Analytic Continuation
A7-1 The Bohr-Peierls-Placzek relation
A7-2 The principle of limiting distance
A7-3 The fundamental theorem on analytic continuation
A7-4 Applications
Appendix A8 Notation
Supplement for the Second Edition
Supplement S1 Formulations of Quantum Electrodynamics
S1-1 Lagrangian QFT
S1-2 Axiomatic QFT
S1-3 Locality, covariance, and indefinite metric
S1-4 Lehmann-Symanzik-Zimmermann and related formalisms
S1-5 Null plane QED
References
Supplement S2 Renormalization
S2-1 Dyson-Salam-Ward renormalization
S2-2 Bogoüubov-Parasiuk-Hepp-Zimmermann renormalization
S2-3 Analytic renormalization
References
Supplement S3 Coherent States
S3-1 A finite number of degrees of freedom
S3-2 Coherent states of the radiation field
S3-3 Application to ordering theorems
References
Supplement S4 Infrared Divergences
S4-1 Dollard's discovery
S4-2 A new picture
S4-3 The asymptotically modified fields
References
Supplement S5 Predictions and Precision Experiments
S5-1 The anomalous magnetic moment
S5-2 The hyperfine structure of the hydrogen ground state
S5-3 The Lamb-Retherford shift in hydrogen
S5-4 Energy levels in positronium
S5-5 Muonium hyperfine structure
References
Author Index.
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登録日 2020.06.27
更新日 2020.06.28