{
  "abstract": "Lower bounds on the pointwise spatial decay of the ground state of the Pauli-Fierz model in non-relativistic quantum electrodynamics are studied. Two models are considered: the full Pauli-Fierz model and the Pauli-Fierz model under the dipole approximation. For the full model, a lower bound is derived by means of a probabilistic approach based on the Feynman-Kac formula. The application of the Agmon distance method to the full model encounters a serious difficulty arising from the path dependence of a double stochastic integral. In contrast, under the dipole approximation, the corresponding integrand becomes deterministic, which allows a lower bound to be obtained in terms of the Agmon distance.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.25719",
  "author_total": 2,
  "authors": [
    {
      "name": "Fumio Hiroshima"
    },
    {
      "name": "Yuki Tsujimoto"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1axcjpf3z7yag.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.25719",
  "fulltext_url": null,
  "id": "1axcjpf3z7yag",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.25719",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.MP"
    ],
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7204471369",
  "pdf_url": "https://arxiv.org/pdf/2608.25719",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1axcjpf3z7yag.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2608.25719",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.25719"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Lower bounds on the spatial decay of the ground state of the Pauli-Fierz model",
  "title_text": "Lower bounds on the spatial decay of the ground state of the Pauli-Fierz model",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/1axcjpf3z7yag",
  "venue": "arXiv",
  "versions": []
}