The scattering of massless waves of helicity $$ \mid h\mid =0,\frac{1}{2},1 $$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelength regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we compute classical wave scattering in terms of 2 → 2 QFT amplitudes in flat space, to all orders in spin. The results are Newman-Penrose amplitudes which are in direct correspondence with solutions of the Regge-Wheeler/Teukolsky equation. By introducing a precise prescription for the point-particle limit, in Part I of this work we show how both agree for h = 0 at finite values of the scattering angle and arbitrary spin orientation.
{ "_oai": { "updated": "2023-06-24T00:33:44Z", "id": "oai:repo.scoap3.org:76543", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Canada", "value": "Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada", "organization": "Perimeter Institute for Theoretical Physics" }, { "country": "Canada", "value": "Department of Physics and Astronomy, York University, Toronto, Ontario, M3J 1P3, Canada", "organization": "York University" } ], "surname": "Bautista", "email": "ybautistachivata@pitp.ca", "full_name": "Bautista, Yilber", "given_names": "Yilber" }, { "affiliations": [ { "country": "Canada", "value": "Perimeter Institute for Theoretical Physics, Waterloo, ON, N2L 2Y5, Canada", "organization": "Perimeter Institute for Theoretical Physics" }, { "country": "USA", "value": "Society of Fellows, Harvard University, Cambridge, MA, 02138, USA", "organization": "Harvard University" } ], "surname": "Guevara", "email": "aguevaragonzalez@fas.harvard.edu", "full_name": "Guevara, Alfredo", "given_names": "Alfredo" }, { "affiliations": [ { "country": "Germany", "value": "Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am M\u00fchlenberg 1, Potsdam, 14476, Germany", "organization": "Max Planck Institute for Gravitational Physics (Albert Einstein Institute)" } ], "surname": "Kavanagh", "email": "chris.kavanagh@aei.mpg.de", "full_name": "Kavanagh, Chris", "given_names": "Chris" }, { "affiliations": [ { "country": "Germany", "value": "Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am M\u00fchlenberg 1, Potsdam, 14476, Germany", "organization": "Max Planck Institute for Gravitational Physics (Albert Einstein Institute)" } ], "surname": "Vines", "email": "justin.vines@aei.mpg.de", "full_name": "Vines, Justin", "given_names": "Justin" } ], "titles": [ { "source": "Springer", "title": "Scattering in black hole backgrounds and higher-spin amplitudes. Part I" } ], "dois": [ { "value": "10.1007/JHEP03(2023)136" } ], "publication_info": [ { "page_end": "58", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP03(2023)136", "year": 2023, "page_start": "1", "journal_issue": "3" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-06-24T00:31:14.740602", "source": "Springer", "method": "Springer", "submission_number": "40dbafc0122611ee91ac6ee2827c7def" }, "page_nr": [ 58 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "76543", "record_creation_date": "2023-03-21T09:30:07.583377", "_files": [ { "checksum": "md5:ec4ed9d07bf5768f4a08683921af6a6f", "filetype": "xml", "bucket": "dda7054b-db83-47f6-a75c-a703a8eaa9f5", "version_id": "0f98a4c7-c400-47c5-8576-7b37c42f8c51", "key": "10.1007/JHEP03(2023)136.xml", "size": 15104 }, { "checksum": "md5:330bffebcfa9430cabb410db492c44f9", "filetype": "pdf/a", "bucket": "dda7054b-db83-47f6-a75c-a703a8eaa9f5", "version_id": "1cf5e153-35f0-4299-b434-6f514ebca0d9", "key": "10.1007/JHEP03(2023)136_a.pdf", "size": 927243 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "gr-qc" ], "value": "2107.10179" } ], "abstracts": [ { "source": "Springer", "value": "The scattering of massless waves of helicity <math> <mo>\u2223</mo> <mi>h</mi> <mo>\u2223</mo> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> <mo>,</mo> <mn>1</mn> </math> $$ \\mid h\\mid =0,\\frac{1}{2},1 $$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelength regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we compute classical wave scattering in terms of 2 \u2192 2 QFT amplitudes in flat space, to all orders in spin. The results are Newman-Penrose amplitudes which are in direct correspondence with solutions of the Regge-Wheeler/Teukolsky equation. By introducing a precise prescription for the point-particle limit, in Part I of this work we show how both agree for h = 0 at finite values of the scattering angle and arbitrary spin orientation." } ], "imprints": [ { "date": "2023-03-20", "publisher": "Springer" } ] }