Renormalisation Group - Material for the year 2020-2021

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2020-2021
External Lecturer(s): 
Dr Adam Nahum
General Prerequisites: 

Quantum Field Theory (MT),
Statistical Mechanics (MT) or equivalent.

Course Term: 
Hilary

Assessment type:

Course Overview: 

20 lectures in HT
1.25 Units
Areas: PT/CMT
Homework deadlines are:
Week 2, 4, 6 and 7, all on Saturday at midnight.
Link to submit homework to your TA Sounak Biswas:
https://cloud.maths.ox.ac.uk/index.php/s/sGKgJDxaQa9C2Qn

Course Synopsis: 

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.