{
  "annotation_id": "0c0e4e2a-1103-46ba-a4cf-7475d988441f",
  "date_created": "2026-03-02T18:01:53.161000Z",
  "date_modified": "2026-03-02T18:01:53.161000Z",
  "file_hash": "2185e0993fc72f5050032c08823574835d3ff01312d932c7b2bbf78deece12cb",
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  "record": {
    "abstract": "The quantum deformation of the Hopf algebra describes the skeleton of quantum\nfield theory, namely its characterizing feature consisting in the existence of\ninfinitely many unitarily inequivalent representations of the canonical\ncommutation relations. From this we derive the thermal properties of quantum\nfield theory, with the entropy playing the role of the generator of the\nnon-unitary time evolution. The entanglement of the quantum vacuum appears to\nbe robust against interaction with the environment: on cannot ``unknot the\nknots\" in the infinite volume limit.",
    "arxiv_id": "quant-ph/0207040",
    "authors": [
      "A. Iorio",
      "G. Lambiase",
      "G. Vitiello"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "AIP Conf.Proc. 643 (2003) 53-58",
    "title": "Hopf algebra, thermodynamics and entanglement in quantum field theory",
    "url": "https://arxiv.org/abs/quant-ph/0207040"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3fa4b073-d864-45f4-bf42-a8744f211628",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}