{
  "abstract": "We derive a set of on-shell recursion relations for amplitudes in worldline quantum field theory (WQFT), an effective theory of gravity coupled to a massive worldline which is relevant for computing classical gravitational observables. We overcome the poor large-$z$ falloff of amplitudes under an all-line complex momentum deformation by deriving and exploiting a new soft-graviton theorem in the presence of a worldline. This theorem generalizes the leading (Weinberg) and subleading soft theorems with additional contributions due to soft emission from the worldline. Our main result is a $d$-dimensional recursion formula, expressing any $n$-graviton rational amplitude in terms of lower-point amplitudes from WQFT and pure gravity. Using the soft-worldline theorem, we can obtain amplitudes with any number of external worldline fluctuations from the corresponding all-graviton amplitudes, making the recursion sufficient to construct any rational amplitude of the theory. We verify our results by explicitly computing two-graviton and three-graviton amplitudes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.01714",
  "author_total": 2,
  "authors": [
    {
      "name": "Nathan Castet"
    },
    {
      "name": "Vincent F He"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0pydrcrb562kv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.01714",
  "fulltext_url": null,
  "id": "0pydrcrb562kv",
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  "landing_url": "https://hal.science/hal-05742711v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
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      "gr-qc"
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  "openalex": "W7207607047",
  "pdf_url": "https://arxiv.org/pdf/2609.01714",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0pydrcrb562kv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:31Z",
      "native_id": "hal-05742711",
      "source": "hal",
      "url": "https://hal.science/hal-05742711v1"
    },
    {
      "first_seen": "2026-10-30T12:23:56Z",
      "native_id": "2609.01714",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.01714"
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  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "On-shell recursion and soft theorems for worldline quantum field theory",
  "title_text": "On-shell recursion and soft theorems for worldline quantum field theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:56Z",
  "url": "https://research.draconitic.com/paper/0pydrcrb562kv",
  "venue": "HAL",
  "versions": []
}