# Renormalisation Group - Material for the year 2019-2020

## Primary tabs

Quantum Field Theory (MT),

Statistical Mechanics (MT) or equivalent.

### Assessment type:

- No formal assessment; homework completion requirement.

16 lectures in HT

Areas: PT/CMT

Please submit your homework for Renormalisation Group via the 'assignments' tab.

Visiting and Short Option Students Only: Please e-mail your work to your TA/Tutor by the required deadline, copying in mmathphys@maths.ox.ac.uk

This course introduces ideas of scale-invariance and the renormalisation group in statistical physics, using simple lattice models and field theories as examples. Topics include: Real space RG; Fixed points, scaling operators, operator product expansion etc.; Landau Ginsburg theory; Mean field theory; Large N approximation; the 4-epsilon expansion; the 2+epsilon expansion; the Kosterlitz-Thouless transition; The Sine-Gordon model; XY duality.