Renormalisation Group - Material for the year 2019-2020

2019-2020
External Lecturer(s): 
Dr Adam Nahum
General Prerequisites: 

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

Course Term: 
Hilary
Course Weight: 
1.00 unit(s)

Assessment type:

Course Overview: 

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

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.