Statistical Physics II

Title Syllabus 1 Long-range order, symmetry and soft modes 1 Problems 1 Solutions 2 Phase transitions, the mean field approach 2 Problems 2 Solutions 3 Symmetry breaking, Landau theory 3 Problems 3 Solutions 4 Universality classes. Susceptibility and fluctuations 4 Problems 4 Solutions 5 Fluctuations near phase transition. Renormalization group 5 Problems 5 Solutions 6 Real space RG. Blocking, decimation, bonds-moving 6 Problems 6 Solutions 7 Scaling theory near critical point 7 Problems 7 Solutions 8 Field-theoretic RG. Low dimensional systems. Nonlinear sigma model 8 Problems 9 Problems 10 Sine-Gordon model and Coulomb gas. Villain duality 10 Problems 11 Topological melting in 2D. Dislocations, disclinations, instantons 11 Problems 12 Field-theoretic RG. Wilson-Fisher fixed point 12 Problems