Topics may include: Collective modes, Importance of Symmetries and Dimensionality; Introduction to phase transitions and critical phenomena; Ginzburg-Landau theory, Mean-field theory, Critical Exponents; Goldstone modes and the lower critical dimension; Fluctuations and the upper critical dimension; Universality and self-similarity, Scaling hypothesis; Kadanoff's heuristic renormalization group and exponent identities; Perturbation theory, diagrammatic expansion; and Wilson's momentum space renormalization group, epsilon expansion, Wilson-Fisher fixed point.
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