{
  "annotation_id": "d4edfde7-7c8f-4cc1-9d8b-876d2a09f5d1",
  "date_created": "2026-03-02T18:01:39.220000Z",
  "date_modified": "2026-03-02T18:01:39.220000Z",
  "file_hash": "3be8cd7b21d127995d124e5d0b5d1ea0e20b5c978c6627e454e98c65381f7847",
  "private": false,
  "record": {
    "abstract": "We establish the renormalization group equation for the running action in the\ncontext of a one quantum particle system. This equation is deduced by\nintegrating each fourier mode after the other in the path integral formalism.\nIt is free of the well known pathologies which appear in quantum field theory\ndue to the sharp cutoff. We show that for an arbitrary background path the\nusual local form of the action is not preserved by the flow. To cure this\nproblem we consider a more general action than usual which is stable by the\nrenormalization group flow. It allows us to obtain a new consistent\nrenormalization group equation for the action.",
    "arxiv_id": "quant-ph/0004008",
    "authors": [
      "P. Gosselin",
      "H. mohrbach"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/33/36/306",
    "journal_ref": "J.Phys.A:Math.Gen.33(2000) 6343-6355",
    "title": "Renormalization Group in Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0004008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eef87fdf-acc8-49ab-9d81-a40f39110097",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}