PHYS4181 Particle Theory (2018/19)
Relativistic Quantum Mechanics
12 lectures in Michaelmas Term
Syllabus: Klein-Gordon equation. Dirac equation. Spin. Free particle and antiparticle solutions of the Dirac equation. Massless fermions. Lagrangian form of classical electromagnetism. Lagrangian form of the Dirac equation. Global gauge invariance. Noether's theorem and conserved current for the Dirac equation. Second quantisation of classical Klein-Gordon field. Local gauge invariance. Lagrangian of Quantum Electrodynamics (QED). Motivation of QED Feynman Rules. Example calulations: e+e-→ µ+µ-, e+e-→e+e- .
Gauge Field Theories
12 lectures in Michaelmas and Epiphany Terms
Syllabus: How to construct gauge theories. Symmetries and group theory. SU(n) gauge theories. A gauge theory for weak interactions. Spontaneous symmetry breaking of a global symmetry. Spontaneous symmetry breaking of a gauge symmetry: The Higgs mechanism.
12 lectures in Epiphany Term
Syllabus: Accelerators and detectors. Elementary boson decays: Z0. Physics at the Z0 resonance: results from LEP. Elementary boson decays: the Higgs. Hunting the Higgs. QCD: measurement of alpha_s. Flavour and CP violation. Neutrino oscillations. Beyond the standard model.
3 lectures in Easter Term, one by each lecturer.
Additional: Modern Elementary Particle Physics, G.L. Kane (Perseus)
Additional: An Introduction to the Standard Model of Particle Physics, W.N. Cottingham and D.A. Greenwood (CUP)
Additional: Quarks and Leptons, F. Halzen and A.D. Martin (Wiley)
Additional: An Introduction to Relativistic Processes and the Standard Model of Electoweak Interactions, C. M. Becchi & G. Ridolfi (Springer)
Additional: The Standard Model: A Primer, C. Burgess and G. Moore (Cambridge University Press)
Lectures: 2 one-hour lectures per week
Problem exercises: See https://www.dur.ac.uk/physics/students/problems/