{
  "abstract": "We consider the three-dimensional Fröhlich polaron at fixed coupling strength $α>0$ and total momentum $P \\in \\bbR^3$. We show that the bottom of the spectrum reaches the essential spectrum at a finite value of $|P|$, implying that the fiber Hamiltonian has no ground state at sufficiently large total momentum. This extends the known weak-coupling result to arbitrary coupling. Our approach describes states near the spectral threshold by a fully interacting polaron with small residual momentum and one additional phonon carrying almost all of the total momentum.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16081",
  "author_total": 1,
  "authors": [
    {
      "name": "Tobias Schmidt"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2cst1jph82k69.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16081",
  "fulltext_url": null,
  "id": "2cst1jph82k69",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16081",
  "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"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7221795411",
  "pdf_url": "https://arxiv.org/pdf/2610.16081",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2cst1jph82k69.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.16081",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16081"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The Fröhlich Polaron at large total momentum in d=3",
  "title_text": "The Fröhlich Polaron at large total momentum in d=3",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/2cst1jph82k69",
  "venue": "arXiv",
  "versions": []
}