SM9 · Renormalization group
A 22-module path through sm9 · renormalization group, in study order from foundations to the frontier.
Modules
- The Renormalization Group Idea: Coarse-Graining and Rescaling
- Block-Spin (Real-Space) Renormalization Group
- Decimation and the One-Dimensional Ising RG
- Momentum-Shell Renormalization Group
- RG Flow in Coupling Space
- Fixed Points of the RG
- Linearization About a Fixed Point and Eigenvalue Spectrum
- Relevant, Irrelevant, and Marginal Operators
- Critical Exponents from the RG
- Scaling Fields and Scaling Variables
- Wilson-Fisher Fixed Point
- Gaussian Fixed Point and Upper Critical Dimension
- The Epsilon-Expansion
- Universality and Universality Classes (SM9)
- Crossover Phenomena and Crossover Exponents
- Scaling Form of the Free Energy from the RG
- Data Collapse and Scaling Plots
- Finite-Size Scaling and the RG
- Wilson's Effective Action and the Exact RG Equation
- Irrelevant Variables and Corrections to Scaling
- Dangerous Irrelevant Variables
- Migdal-Kadanoff Bond-Moving Approximation