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.