{
  "annotation_id": "5f141995-3bb5-418a-9dc4-f0f5c34261af",
  "date_created": "2026-03-02T18:01:59.972000Z",
  "date_modified": "2026-03-02T18:01:59.972000Z",
  "file_hash": "00d96a76f163f7f8c05ae7c08a35f8a61411e0f6542fe40c8f359445a3a42a9b",
  "private": false,
  "record": {
    "abstract": "Quantum field theory is assumed to be gauge invariant. However it is well\nknown that when certain quantities are calculated using perturbation theory the\nresults are not gauge invariant. The non-gauge invariant terms have to be\nremoved in order to obtain a physically correct result. In this paper we will\nexamine this problem and determine why a theory that is supposed to be gauge\ninvariant produces non-gauge invariant results.",
    "arxiv_id": "quant-ph/0306071",
    "authors": [
      "Dan Solomon"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "The problem of gauge invariance in Dirac field theory",
    "url": "https://arxiv.org/abs/quant-ph/0306071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a42be7db-da54-45d4-8220-e26cdb0db06b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}