The calendar below provides information on the course’s lecture (L), recitation (R), and exam (E) sessions.
SES #  TOPICS  KEY DATES 

L1 
Collective Behavior, from Particles to Fields
Introduction, Phonons and Elasticity 

L2 
Collective Behavior, from Particles to Fields (cont.)
Phase Transitions, Critical Behavior The LandauGinzburg Approach Introduction, Saddle Point Approximation, and Meanfield Theory 

L3 
The LandauGinzburg Approach (cont.)
Spontaneous Symmetry Breaking and Goldstone Modes 

L4 
The LandauGinzburg Approach (cont.)
Scattering and Fluctuations, Correlation Functions and Susceptibilities, Comparison to Experiments 

L5 
The LandauGinzburg Approach (cont.)
Gaussian Integrals, Fluctuation Corrections to the Saddle Point, The Ginzburg Criterion 

R1  Recitation  
L6 
The Scaling Hypothesis
The Homogeneity Assumption, Divergence of the Correlation Length, Critical Correlation Functions and Selfsimilarity 

L7 
The Scaling Hypothesis (cont.)
The Renormalization Group (Conceptual), The Renormalization Group (Formal) 
Problem set 1 due 
L8 
The Scaling Hypothesis (cont.)
The Gaussian Model (Direct Solution), The Gaussian Model (Renormalization Group) 

L9 
Perturbative Renormalization Group
Expectation Values in the Gaussian Model, Expectation Values in Perturbation Theory, Diagrammatic Representation of Perturbation Theory, Susceptibility 

R2  Recitation  
L10 
Perturbative Renormalization Group (cont.)
Perturbative RG (First Order) 

R2  Recitation  Problem set 2 due 
R3  Recitation (Review for Test)  
E1  Inclass Test 1  
L11 
Perturbative Renormalization Group (cont.)
Perturbative RG (Second Order), The εexpansion 

L12 
Perturbative Renormalization Group (cont.)
Irrelevance of Other Interactions, Comments on the εexpansion 

L13 
Position Space Renormalization Group
Lattice Models, Exact Treatment in d=1 

R4  Recitation  
L14 
Position Space Renormalization Group (cont.)
The Niemeijervan Leeuwen Cumulant Approximation, The MigdalKadanoff Bond Moving Approximation 

L15 
Series Expansions
Lowtemperature Expansions, Hightemperature Expansions, Eexact Solution of the One Dimensional Ising Model 
Problem set 3 due 
L16 
Series Expansions (cont.)
Selfduality in the Two Dimensional Ising Model, Dual of the Three Dimensional Ising Model 

L17 
Series Expansions (cont.)
Summing over Phantom Loops 

L18 
Series Expansions (cont.)
Exact Free Energy of the Square Lattice Ising Model 

R5  Recitation  
L19 
Series Expansions (cont.)
Critical Behavior of the Two Dimensional Ising Model 
Problem set 4 due 
L20 
Continuous Spins at Low Temperatures
The Nonlinear σmodel 

L21 
Continuous Spins at Low Temperatures (cont.)
Topological Defects in the XY Model 

L22 
Continuous Spins at Low Temperatures (cont.)
Renormalization Group for the Coulomb Gas 

R6  Recitation (Review for Test)  
E2  Inclass Test 2  
R7  Recitation  
L23 
Continuous Spins at Low Temperatures (cont.)
Two Dimensional Solids, Two Dimensional Melting 
Problem set 5 due 
L24 
Dissipative Dynamics
Brownian Motion of a Particle 

R8  Recitation  
L25 
Continuous Spins at Low Temperatures (cont.)
Equilibrium Dynamics of a Field, Dynamics of a Conserved Field 

R9  Recitation  Problem set 6 due 
E3  Inclass Test 3  
L26 
Continuous Spins at Low Temperatures (cont.)
Generic Scale Invariance in Equilibrium Systems, Nonequilibrium Dynamics of Open Systems, Dynamics of a Growing Surface 
Final project due 2 days after L26 