Quantum Electrodynamics / Edition 3

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Overview

This completely revised and corrected new edition provides several new examples and exercises to enable deeper insight in formalism and application of Quantum electrodynamics.
It is a thorough introductory text providing all necessary mathematical tools together with many examples and worked problems. In their presentation of the subject the authors adopt a heuristic approach based on the propagator formalism. The latter is introduced in the first two chapters in both its nonrelativistic and relativistic versions. Subsequently, a large number of scattering and radiation processes involving electrons, positrons, and photons are introduced and their theoretical treatment is presented in great detail. Higher order processes and renormalization are also included. The book concludes with a discussion of two-particle states and the interaction of spinless bosons.
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Product Details

  • ISBN-13: 9783540440291
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 12/16/2002
  • Edition description: REV
  • Edition number: 3
  • Pages: 496
  • Product dimensions: 7.16 (w) x 9.28 (h) x 0.99 (d)

Table of Contents

1 Propagators and Scattering Theory 1
1.1 Introduction 1
1.2 The Nonrelativistic Propagator 2
1.3 Green's Function and Propagator 3
1.4 An Integral Equation for [psi] 7
1.5 Application to Scattering Problems 12
1.6 The Unitarity of the S Matrix 21
1.7 Symmetry Properties of the S Matrix 22
1.8 The Green's Function in Momentum Representation and Its Properties 25
1.9 Another Look at the Green's Function for Interacting Particles 31
2 The Propagators for Electrons and Positrons 43
3 Quantum-Electrodynamical Processes 83
3.1 Coulomb Scattering of Electrons 83
3.2 Scattering of an Electron off a Free Proton: The Effect of Recoil 103
3.3 Scattering of Identical Fermions 141
3.4 Electron-Positron Scattering: Bhabha Scattering and Muon Pair Creation 149
3.5 Scattering of Polarized Dirac Particles 161
3.6 Bremsstrahlung 168
3.7 Compton Scattering - The Klein-Nishina Formula 189
3.8 Annihilation of Particle and Antiparticle 203
4 Summary: The Feynman Rules of QED 259
4.1 The Feynman Rules of QED in Momentum Space 260
4.2 The Photon Propagator in Different Gauges 265
5 The Scattering Matrix in Higher Orders 271
5.1 Electron-Positron Scattering in Fourth Order 271
5.2 Vacuum Polarization 274
5.3 Self-Energy of the Electron 309
5.4 The Vertex Correction 316
6 Two-Particle Systems 347
6.1 The Bethe-Salpeter Equation 347
7 Quantum Electrodynamics of Strong Fields 381
7.1 Strong Fields in Atoms 385
7.2 Strong Fields in Heavy Ion Collisions 415
7.3 The Effective Lagrangian of the Electromagnetic Field 425
8 Quantum Electrodynamics of Spinless Bosons 449
8.1 The Klein-Gordon Equation 450
8.2 The Feynman Propagator for Scalar Particles 452
8.3 The Scattering of Spin-O Bosons 453
8.4 The Feynman Rules of Scalar Electrodynamics 459
Appendix 467
Index 469
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