David Tong: Statistical Field Theory

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.


  • 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

Some Classic Resources