Convenor: Dr Tom Blake
Module Code: PP2
Duration (Hours): 10 hourly sessions
Start date and Commitments
10 lectures on Mo 11-12, Wed 11-12
The module aims to provide an introduction to the calculation of scattering amplitudes in High Energy Physics. It is intended for particle physics Ph. D. students. At the end of the module students should: have an appreciation for the nature of relativistic quantum mechanics; have an understanding of the Dirac equation and its significance; and understand how to calculate decay rates and cross-sections for simple scattering processes.
Lecture 1: Special Relativity and Lorentz Invariance
Lecture 2: Examples of Lorentz Invariance: Maxwell and Klein Gordon Equations
Lecture 3: Perturbation Theory for Particle Scattering
Lecture 4: Coulomb Scattering of Charged Spin-0 Particles
Lecture 5: Invariant Amplitudes, Feynman Diagrams and Cross-Sections
Lecture 6: Calculating Cross-Sections for Spin-0 Scattering
Lecture 7: The Dirac Equation
Lecture 8: Dirac Equation: Spin, Antiparticles and Feynman Rules
Lecture 9: Coulomb Scattering of Charged Spin-1/2 Particles
Lecture 10: Spin Sums and Trace Techniques
The course assessment is based on returned solutions to two problems sets. The first problem set will be set at the half-way point in the course. The second problem set will be set at the end of the course. Solutions to the problem sets should be submitted by the 25th of November (3 weeks after the end of the course).
The course is largely based on:
"Quarks and Leptons: An Introductory Course in Modern Particle Physics" by F. Halzen and A. Martin
Detailed notes on the content of the course can be found here.
Problem set 1: Klein-Gordon equation and spin-less scattering
Problem set 2: Dirac equation and spin-1/2 scattering