Basics of Quantum Electrodynamics

ISBN: 9781466580374 出版年：2012 页码：345 Merches, Ioan Tatomir, Dorian Lupu, Roxana E CRC Press

General Field Theory Basic field equations Infinitesimal Lorentz Transformation Transformation of the quantities U(r) in particular cases Invariance of the Lagrangian density under infinitesimal Lorentz transformation The energy-momentum tensor of a field The angular momentum tensor of a field Symmetry transformations Phase transformations General Problems of Field Quantization Necessity of field quantization Commutation and anti-commutation relations. Emission and absorption operators Commutation relations and the Bose-Einstein statistics Anti-commutation relations and the Fermi-Dirac statistics Alternative methods of field quantization Notations and units in QFT The Quantization of the Scalar Field The Lagrangian formalism Momentum representation Momentum, energy and charge of the complex scalar field in momentum representation Commutators of the free scalar field Products of operators Vacuum states. The Fock representation Wick's theorems The Quantization of the Electromagnetic Field Lagrangian formalism Momentum representation Momentum, energy and spin of the electromagnetic field in momentum representation Commutators of the free electromagnetic field The indefinite metric formalism The Lorentz-Fermi condition The Quantization of the Spinorial Field The Dirac equation and the algebra of gamma matrices Lagrangian formalism The free particle in the Dirac theory Energy, momentum, charge and spin of the free spinorial field in momentum representation Anti-commutators of the free spinorial field Products of spinorial operators General Problems of Field Interactions Generalities The S-matrix Choice of the interaction Lagrangian density The Feynman-Dyson diagrams Examples of Feynman-Dyson diagrams Transition probability Scattering cross section Non-Divergent Second-Order Processes Transition probability for Compton scattering Differential cross section for Compton scattering Electron-positron annihilation Transition probability for Moller scattering Moller scattering cross section Photon-photon scattering with electron-positron pair production Electron-positron scattering Divergent Second-Order Processes Self-energy diagram of the electron Self-energy diagram of the photon. The vacuum polarization Mass and charge renormalization Appendix. Distributions Unidimensional delta function Various representations of the delta function Some functions related to delta Functions Dm+ and Dm- Functions Dm and "Dm Functions D0, "D0, D0+, D0- Functions S, "S, S+, S- Retarded and advanced functions Causal functions Problems with Solutions References Subject Index