An introduction to the critical phenomena, scaling symmetries and renormalization methods. 

Topics are as follows:

  • Scaling properties in the second-order phase transition
  • Domain walls and phase transition of systems with discrete and continuous symmetries
  • Ising model
  • Mean field approach
  • Landau Ginsburg effective theory
  • Breakdown of the Landau theory and the Ginsburg criterion
  • Scaling laws and Kadannoff approach
  • The renormalization group
  • Finite-size analysis



Lectures On Phase Transitions And The Renormalization Group, N. Goldenfeld

Statistical Physics of Fields, M. Kardar,