{
  "abstract": "We study the conformal scattering of massless scalar waves in Minkowski spacetime. The conformal scattering problem is formulated as a Goursat (characteristic initial-value) problem of the physical wave equation in compactified double-null coordinates, including the neighborhood of spatial infinity $i^0$. As null infinities $\\mathcal{I}^\\pm$ lie on the domain boundary by construction, asymptotic radiation is directly accessible. We consider three physical scenarios: free wave propagation, scattering off a Pöschl--Teller (PT) potential, and the semi-linear $|ϕ|^{n-1}ϕ$ wave equation. For multipole numbers $\\ell =0,1$, an explicit stencil, averaging along the spatial direction, yields globally second-order convergent results. For $\\ell \\ge 2$, an implicit stencil averaging along the temporal direction is required for numerical stability. Although the singular $i^0$ reduces the convergence of the radiation data on $\\mathcal{I}^+$ to first order, Richardson extrapolation enhances the effective convergence rate to approximately $1.5$. For PT scattering, our method accurately computes scattering quantities, notably the phase shifts induced by the potential. In the semi-linear case, our method captures the physical signatures of a self-defocusing Kerr nonlinearity, including self-phase modulation and spectral broadening. The compactified double-null framework proves to be simple and efficient, suggesting a promising approach to the global evolution of conformal scattering.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Rev. D 114, 084062 (2026)",
  "arxiv": "2608.15729",
  "author_total": 3,
  "authors": [
    {
      "name": "Zhen-Tao He"
    },
    {
      "name": "Yu Tian"
    },
    {
      "name": "Hongbao Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dncbtmzf9cgvz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.15729",
  "fulltext_url": null,
  "id": "dncbtmzf9cgvz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.15729",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "gr-qc"
    ],
    [
      "openalex",
      "2610|Advanced Mathematical Physics Problems"
    ]
  ],
  "openalex": "W7203718645",
  "pdf_url": "https://arxiv.org/pdf/2608.15729",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dncbtmzf9cgvz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2608.15729",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.15729"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    }
  ],
  "title": "Characteristic evolution of conformal scattering: I. Scalar Waves in Minkowski Spacetime",
  "title_text": "Characteristic evolution of conformal scattering: I. Scalar Waves in Minkowski Spacetime",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:18Z",
  "url": "https://research.draconitic.com/paper/dncbtmzf9cgvz",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1103/rl2x-c38w",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}