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Department of Physics

# PHYS4181 Particle Theory (2010/11)

Details of the module's prerequisites, learning outcomes, assessment and contact hours are given in the official module description in the Faculty Handbook - follow the link above.  A detailed description of the module's content, together with book lists, is given below.  For an explanation of the library's categorisation system see http://www.dur.ac.uk/physics/students/library/.

## Content

### 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

Prof P. Ball

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.

### Phenomenology

Prof E. W. N. Glover

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.

### Revision

3 lectures in Easter Term, one by each lecturer.

Textbooks:

## Teaching methods

Lectures: 2 one-hour lectures per week

Problem exercises:  See http://www.dur.ac.uk/physics/students/problems/