## Quantum ElectrodynamicsThis 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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### Contents

Propagators and Scattering Theory | 1 |

Contents of Examples and Exercises | 5 |

The Propagators for Electrons and Positrons | 43 |

QuantumElectrodynamical Processes | 83 |

The Feynman Rules of QED | 259 |

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### Common terms and phrases

5-matrix according amplitude angle approximation atomic bremsstrahlung calculation center-of-mass charge collisions components Compton scattering constant continuum contribution corresponding Coulomb potential density derived describes differential cross section differential equation Dirac equation divergent electrodynamics electromagnetic field emitted evaluate Example Exercise expression factor Feynman graphs Feynman propagator four-momentum Fourier gauge Green's function Greiner hadron incoming insert integral interaction invariant leads limit Lorentz magnetic Mandelstam variables mass matrix element momentum space momentum transfer negative energy negative-energy nonrelativistic nuclear nucleus obtain pair annihilation pair creation pair production particles perturbation theory photon propagator Phys physics plane waves positron quantum quantum electrodynamics relation relativistic renormalization result scalar scattering cross section scattering process Sect solution space-time spin spinor supercritical tensor term theorem tion trace transformation transition current ultrarelativistic limit vacuum polarization vanishes variables vector velocity vertex virtual photon wave function yields