{
  "title": "Holographic Renormalization and Radial Dynamics: validity and failure map",
  "chapter": "Holographic Renormalization and Radial Dynamics",
  "kind": "validity-failure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "Fefferman-Graham cutoff data",
    "radial Hamilton-Jacobi recursion",
    "local and finite counterterms",
    "one-point functions and Ward identities",
    "renormalized observable"
  ],
  "claims": [
    {
      "object": "divergent on-shell action",
      "required_declaration": "radial coordinate and induced fields",
      "diagnostic": "Hamilton-Jacobi cancellation",
      "licensed_conclusion": "finite variational problem",
      "unsupported_promotion": "scheme-independent finite contact terms"
    },
    {
      "object": "one-point function",
      "required_declaration": "source normalization and counterterm action",
      "diagnostic": "Ward and anomaly identities",
      "licensed_conclusion": "renormalized response in one scheme",
      "unsupported_promotion": "a bare bulk coefficient"
    },
    {
      "object": "radial flow",
      "required_declaration": "cutoff surface and boundary conditions",
      "diagnostic": "canonical transformation check",
      "licensed_conclusion": "radial evolution of data",
      "unsupported_promotion": "ordinary Wilsonian RG without qualifications"
    }
  ],
  "takeaway": "Holographic renormalization fixes divergences but leaves declared finite schemes, boundary conditions, and contact terms in the physical answer."
}