Field
Theory Methods in
Condensed Matter Physics HT 2005
A: Exchange Interaction from strong
Coulomb Repulsion
1.
Strong Coupling expansion of the half-filled Hubbard model
B: Coherent State Path
Integral for Spins
1. Single-Spin Problem
2. Berry's Phase
3. Many Spins
4. Continuum Limits
C:
Quantum Ferromagnets
1. Classical Equations of Motion
2. Solution of the linearized equations
D:
Quantum Antiferromagnets
1. Continuum
Limit and the O(3) Nonlinear Sigma Model
2. One-Dimensional Antiferromagnets
3. Topology
4. Wilsonian RG, beta-function and anomalous dimension
5. Two-Dimensional Antiferromagnets: epsilon expansion
6. Large-N Techniques