PHY2315H S specialized:  Advanced Statistical Mechanics

1. Collective modes, Importance of Symmetries and Dimensionality

2. Introduction to phase transitions and critical phenomena

3. Ginzburg-Landau theory, Mean-field theory, Critical Exponents

4. Goldstone modes and the lower critical dimension

5. Fluctuations and the upper critical dimension

6. Universality and self-similarity, Scaling hypothesis

7. Kadanoff's heuristic renormalization group and exponent identities

8. Perturbation theory, diagrammatic expansion

9. Wilson's momentum space renormalization group, epsilon expansion,