{
  "annotation_id": "16ced2bd-9b14-488d-83ac-adcbc35acc3a",
  "date_created": "2026-03-02T18:00:11.285000Z",
  "date_modified": "2026-03-02T18:00:11.285000Z",
  "file_hash": "0ab7da66ed1e8a5b394779137440e6937f2cf784c4371960ed6846af44a422aa",
  "private": false,
  "record": {
    "abstract": "We present in detail a formulation of the shell model as a path integral and\nMonte Carlo techniques for its evaluation. The formulation, which linearizes\nthe two-body interaction by an auxiliary field, is quite general, both in the\nform of the effective `one-body\u0027 Hamiltonian and in the choice of ensemble. In\nparticular, we derive formulas for the use of general (beyond monopole) pairing\noperators, as well as a novel extraction of the canonical (fixed-particle\nnumber) ensemble via an activity expansion. We discuss the advantages and\ndisadvantages of the various formulations and ensembles and give several\nillustrative examples. We also discuss and illustrate calculation of the\nimaginary-time response function and the extraction, by maximum entropy\nmethods, of the corresponding strength function. Finally, we discuss the\n\"sign-problem\" generic to fermion Monte Carlo calculations, and prove that a\nwide class of interactions are free of this limitation.",
    "arxiv_id": "nucl-th/9305009",
    "authors": [
      "G. H. Lang",
      "C. W. Johnson",
      "S. E. Koonin",
      "W. E. Ormand"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1103/PhysRevC.48.1518",
    "journal_ref": "Phys.Rev.C48:1518-1545,1993",
    "title": "Monte Carlo evaluation of path integrals for the nuclear shell model",
    "url": "https://arxiv.org/abs/nucl-th/9305009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "daee00fe-2343-4fe5-8482-5aa45522edb0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}