{
  "annotation_id": "19357531-b76a-483e-ac58-c01aea4b0e8d",
  "date_created": "2026-03-02T18:02:13.464000Z",
  "date_modified": "2026-03-02T18:02:13.464000Z",
  "file_hash": "08156ea6a52382f7477ad0aab39a388fb320df31ad5d0a992b079919bd8a9fe5",
  "private": false,
  "record": {
    "abstract": "The renormalization of the attractive 1/r^2 potential has recently been\nstudied using a variety of regulators. In particular, it was shown that\nrenormalization with a square well in position space allows multiple solutions\nfor the depth of the square well, including, but not requiring a\nrenormalization group limit cycle. Here, we consider the renormalization of the\n1/r^2 potential in momentum space. We regulate the problem with a momentum\ncutoff and absorb the cutoff dependence using a momentum-independent\ncounterterm potential. The strength of this counterterm is uniquely determined\nand runs on a limit cycle. We also calculate the bound state spectrum and\nscattering observables, emphasizing the manifestation of the limit cycle in\nthese observables.",
    "arxiv_id": "quant-ph/0503074",
    "authors": [
      "H. -W. Hammer",
      "Brian G. Swingle"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "nucl-th"
    ],
    "doi": "10.1016/j.aop.2005.04.017",
    "journal_ref": "Annals Phys. 321 (2006) 306-317",
    "title": "On the limit cycle for the 1/r^2 potential in momentum space",
    "url": "https://arxiv.org/abs/quant-ph/0503074"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b968bd4a-4515-4688-b8b0-7575476a3561",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}