[
  {
    "id": "ARR-2025-6D5NJKE4WT856RS8-v1",
    "type": "article",
    "title": "Technical Appendix: Heat Kernel, Fermions, and the Sign of Induced Gravity (Sign Conventions Fixed; Laplacian/lichnerowicz Hinge Made Explicit)",
    "author": [
      {
        "literal": "Lluis Eriksson"
      }
    ],
    "issued": {
      "date-parts": [
        [
          2025,
          12,
          27
        ]
      ]
    },
    "publisher": "AIRR.SCIENCE",
    "archive": "AIRR.SCIENCE",
    "archive_location": "ARR-2025-6D5NJKE4WT856RS8",
    "version": "v1",
    "genre": "Archived manuscript",
    "URL": "https://airr.science/papers/ARR-2025-6D5NJKE4WT856RS8/versions/v1/",
    "note": "Archived manuscript; ARR-2025-6D5NJKE4WT856RS8 v1. Not peer reviewed by AIRR. Historical import; not assessed by AIRR.",
    "abstract": "We derive the local contribution proportional to the scalar curvature R in the Euclidean one-loop effective action obtained by integrating out matter fields on a curved background. Using a Schwinger cutoff epsilon = Lambda^{-2} and the Seeley-DeWitt coefficient a1, we extract the quadratically divergent term multiplying the integral of sqrt(g) R. We fix a single Euclidean convention for the Einstein-Hilbert action, state an explicit Laplacian convention, and write the Lichnerowicz/Weitzenbock identity in a sign-robust form so that the fermionic contribution is unambiguous. We provide a unified bookkeeping coefficient A1_eff such that W_R^total = -(A1_eff / 32 pi^2) Lambda^2 integral sqrt(g) R, and hence an induced Newton constant G_ind via comparison with the Euclidean Einstein-Hilbert action. We include the minimal gauge+ghost package in background Feynman gauge, a species table, and a reproducible symbolic check of every entry."
  }
]