{
  "annotation_id": "cdde0e1b-da48-4da7-a5a3-bd98b26c5a7b",
  "date_created": "2026-03-02T18:00:12.025000Z",
  "date_modified": "2026-03-02T18:00:12.025000Z",
  "file_hash": "0e0a3a70bbbf8b42ea784e2a1e9375e152bb06c9df5aaa8096bd1f2734ff012a",
  "private": false,
  "record": {
    "abstract": "We find solutions to the 1+1 dimensional scalar-only linear sigma model. A\nnew method is used to compute 1-fermion loop contributions exactly and\nagreement with published results employing other methods is excellent. A\nrenormalization scheme which differs from that commonly used in such\ncalculations but similar to that required in 1+3 dimensions is also presented.\nWe compare ``kink\u0027\u0027 {\\it versus} ``shallow bag\u0027\u0027 solutions paying careful\nattention to the implications of the 1-fermion loop contributions for the\nstability of the former. We find that, for small fermion multiplicities,\nself-consistent shallow bag solutions are always more bound than their\nmetastable kink counterparts. However, as the fermion multiplicity increases,\nshallow bags evolve into kinks which eventually are the only self-consistent\nconfigurations. This situation is qualitatively the same for the two\nrenormalization schemes considered. When we construct ``baryons\u0027\u0027, each\ncontaining three fermions, the kink configuration is typically more bound than\nthe shallow bag when 1-fermion loop contributions are included.",
    "arxiv_id": "nucl-th/9212002",
    "authors": [
      "J. R. Shepard",
      "C. E. Price",
      "T. C. Ferr\u00e9e"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevD.48.822",
    "title": "Exact 1-Fermion Loop Contributions in 1+1 Dimensional Solitons",
    "url": "https://arxiv.org/abs/nucl-th/9212002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f007f0c6-d456-4771-ac25-dc1735b90f49",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}