This book is based on a series of lectures taught by the author to all incoming first year Oxford University postgraduates in experimental particle physics. It begins by deriving the Dirac equation and incorporating the electro-magnetic interaction and calculating several 'bread and butter' processes at tree level using the Feynman Stueckelberg approach: Mott scattering, electron-electron scattering, electron-positron scattering, Compton scattering, Bremsstrahlung and electron-positron to muon-anti-muon. The intention is for the student to become fluent in detail with all the steps leading to the calculation of these processes. Every step is motivated using the most basic arguments.
A Review of Special Relativistic Notation; Examples of 4-Vectors, Tensors, Lorentz-Scalars in the Physical World; The Dirac Equation; Solutions to the Dirac Equation and Boosting Solutions to Obtain Free Particle Solutions Comments on Negative Energy Solutions, Green's Functions and Propagators (In General and for the Dirac Equation); Introduction of the Electro-magnetic Field into the Dirac Equation; Green's Functions and Propagators (In General and for the Dirac Equation); First Application: Coulomb Scattering of an Electron (Mott Scattering); Second Application: Electron-Electron Scattering; A Review of Negative Energy Solutions. Application of the Results of Electron-Electron Scattering to Electron-Positron Scattering, Bremsstrahlung; Compton Scattering; Pair Creation and Pair Annihilation, Electron-Postitron to Muon Anti-Muon. A Quick Look at Second Order Processes and Loops; A Summary of Feynman Rules Based on How Each of the Processes Were Calculated.
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