{
  "annotation_id": "532fac57-d3ab-4d4e-b2c9-a6d69a014994",
  "date_created": "2026-03-02T18:01:03.413000Z",
  "date_modified": "2026-03-02T18:01:03.413000Z",
  "file_hash": "ed5360951e78339fe744b2b0c0a3553e1ff8f05359736d5676b78b4dca182728",
  "private": false,
  "record": {
    "abstract": "The spin-statistics connection is obtained for a simple formulation of a\nclassical field theory containing even and odd Grassmann variables. To that\nend, the construction of irreducible canonical realizations of the rotation\ngroup corresponding to general causal fields is reviewed. The connection is\nobtained by imposing local commutativity on the fields and exploiting the\nparity operation to exchange spatial coordinates in the scalar product of\nclassical field evaluated at one spatial location with the same field evaluated\nat a distinct location. The spin-statistics connection for irreducible\ncanonical realizations of the Poincar\\\u0027{e} group of spin $j$ is obtained in the\nform: Classical fields and their conjugate momenta satisfy fundamental\nfield-theoretic Poisson bracket relations for 2$j$ even, and fundamental\nPoisson antibracket relations for 2$j$ odd",
    "arxiv_id": "physics/0601014",
    "authors": [
      "J. A. Morgan"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1088/0305-4470/39/42/009",
    "journal_ref": "J.Phys.A39:13337-13353,2006; J.Phys.A39:13337-13354,2006",
    "title": "The spin-statistics connection in classical field theory",
    "url": "https://arxiv.org/abs/physics/0601014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd5708d3-44b6-4f91-9b0e-858baa34971a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}