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Foundational Physics Research Methods
·
Module 8
The Renormalization Group
1
Coarse-Graining and Scale Invariance
Explain the concepts of coarse-graining and scale invariance in physical systems.
2
Introduction to Renormalization Group (RG) Calculations
Perform a simple real-space or momentum-shell renormalization group (RG) calculation.
3
Fixed Points and Stability in RG Flow
Identify the fixed points of an RG flow and analyze their stability.
4
Classifying Operators by Relevance to Fixed Points
Classify operators as relevant, irrelevant, or marginal with respect to a fixed point.
5
Universality and RG Flows in Critical Phenomena
Explain the concept of universality in critical phenomena in terms of RG flows.
6
Mean-Field Theory and the Upper Critical Dimension
Relate the upper critical dimension of a theory to the validity of its mean-field description.
Previous module
Mean-Field and Landau Theories
Next module
The Effective Field Theory Framework