06
Part 6 of 8 · hep-th
Renormalization of Reconstructed Geometry and Metric Beta Functionals
When can scale consistency be written as a metric fixed-point equation?
What this part establishes
Coupling flow, field redefinitions, and metric flow are separated. A defect equation follows from a beta functional only when a local RG and variational gradient relation are supplied.
Boundary of the claim
There is no universal identity between coarse-graining flow and the Einstein tensor.