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Lecture Notes

Lecture 1: Long-Range Order, Symmetry and Soft Modes (PDF)
Lecture 2: Phase Transitions, The Mean Field Approach (PDF)
Lecture 3: Symmetry Breaking, Landau Theory (PDF)
Lecture 4: Universality Classes. Susceptibility and Fluctuations (PDF)
Lecture 5: Fluctuations Near Phase Transition. Renormalization Group (PDF)
Lecture 6: Real Space RG. Blocking, Decimation, Bonds-Moving (PDF)
Lecture 7: Scaling Theory Near Critical Point (PDF)
Lecture 8: Field-Theoretic RG. Low Dimensional Systems. Nonlinear Sigma Model (PDF)
Lecture 9: Topological Transition in the XY Model. (Not available at this time)
Lecture 10: Sine-Gordon Model and Coulomb Gas. Villain Duality (PDF)
Lecture 11: Topological Melting in 2D. Dislocations, Disclinations, Instantons (PDF)
Lecture 12: Field-Theoretic RG. Wilson-Fisher Fixed Point (PDF)
Lecture 13: Asymptotic Symmetry. Run-Away RG Trajectories. (Not available at this time)
Lecture 14: Functional Integral in Statistical Mechanics. (Not available at this time)