Scaling and Renormalization

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Main topics

  • Critical phenomena, critical exponents and scaling theory.
  • The renormalization group: main ideas and general formalism.
  • Real space renormalization: block spins, Kadanoff construction and
    applications.
  • Momentum space renormalization: gaussian model, epsilon expansion,
    Wilson-Fisher fixed point.
  • Kostelitz-Thouless phase transition: XY model, vortices, the Coulomb
    Gas and Sine-Gordon model.
  • Renormalization group for fermions: Luttinger liquids and Fermi
    liquids from an RG perspective.
  • Scaling and renormalization in quantum impurity problems: the Kondo
    effect.

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