{
  "id": "2102.00269",
  "version": "v1",
  "published": "2021-01-30T16:44:31.000Z",
  "updated": "2021-01-30T16:44:31.000Z",
  "title": "Ricci curvature and quantum geometry",
  "authors": [
    "Mauro Carfora",
    "Francesca Familiari"
  ],
  "comment": "11 pages",
  "journal": "International Journal of Geometric Methods in Modern Physics (2020) 2050049 (11 pages)",
  "doi": "10.1142/S0219887820500498",
  "categories": [
    "math-ph",
    "math.DG",
    "math.MP"
  ],
  "abstract": "We describe a few elementary aspects of the circle of ideas associated with a quantum field theory (QFT) approach to Riemannian Geometry, a theme related to how Riemannian structures are generated out of the spectrum of (random or quantum) fluctuations around a background fiducial geometry. In such a scenario, Ricci curvature with its subtle connections to diffusion, optimal transport, Wasserestein geometry, and renormalization group, features prominently.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-30T16:44:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ricci curvature",
      "quantum geometry",
      "quantum field theory",
      "background fiducial geometry",
      "elementary aspects"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "World Scientific"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}