{
  "annotation_id": "0bf70522-7583-41d1-aa93-2cb7445916ef",
  "date_created": "2026-03-02T18:01:56.519000Z",
  "date_modified": "2026-03-02T18:01:56.519000Z",
  "file_hash": "1d1e16ce91777e1f9d5e4b73d5bef64715778130091b7fe1fd6a376454162804",
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  "record": {
    "abstract": "We establish a necessary and sufficient condition for averages over complex\nvalued weight functions on R^N to be represented as statistical averages over\nreal, non-negative probability weights on C^N. Using this result, we show that\nmany path-integrals for time-ordered expectation values of bosonic degrees of\nfreedom in real-valued time can be expressed as statistical averages over\nensembles of paths with complex-valued coordinates, and then speculate on\npossible consequences of this result for the relation between quantum and\nclassical mechanics.",
    "arxiv_id": "quant-ph/0210195",
    "authors": [
      "Don Weingarten"
    ],
    "categories": [
      "quant-ph",
      "hep-lat",
      "hep-th"
    ],
    "doi": "10.1103/PhysRevLett.89.240201",
    "journal_ref": "Phys.Rev.Lett. 89 (2002) 240201",
    "title": "Complex Probabilities on R^N as Real Probabilities on C^N and an   Application to Path Integrals",
    "url": "https://arxiv.org/abs/quant-ph/0210195"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3f9eef4d-9ad3-446f-8d4d-cbbe5d1fd32a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}