David Tong: Lectures on Statistical Field Theory
These lecture notes provide a detailed introduction to phase transitions and the renormalisation group, aimed at "Part III" (i.e. masters level) students. Lecture notes will become available as the lectures progress.
Content
- Cover Sheet: Postscript PDF
- 1. From Spins to Fields:
Postscript PDF
Introduction; The Ising Model; Landau Mean Field Theory, Universality, Critical Exponents; Landau-Ginzburg Theory, Domain Walls, The Lower Critical Dimension. - 2. My First Path Integral:
Postscript PDF
The Thermodynamic Free Energy (again); Correlation Functions, Correlation Length; The Upper Critical Dimension; The Analogy with Quantum Field Theory.
Problem Sheets
- Problem Sheet 1: Postscript PDF Mean Field Theory
- Problem Sheet 2: RG
- Problem Sheet 3: Symmetries
Statistical Field Theory on the Web
- Statistical Field Theory by Mehran Kardar at MIT
- Phase Transitions and Collective Phenomena by Ben Simons at Cambridge
- The Renormalization Group John McGreevy at San Diego
- Advanced Statistical Mechanics by Martin Grant at McGill
- 6 Lectures on QFT, RG and SUSY by Tim Hollowood
Some Classic Resources
- Nobel Prize Lecture by Ken Wilson