Low-energy limit of N-photon amplitudes in a constant field

Naser Ahmadiniaz (Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, Dresden, Germany) ; Misha A. Lopez-Lopez (Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, Dresden, Germany; Institut für Theoretische Physik, Technische Universität Dresden, Dresden, Germany) ; Christian Schubert (Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Avenida Francisco J. Mújica, Morelia, Mexico)

While the QED photon amplitudes at full momentum so far have been calculated only up to the six-photon level, in the low-energy limit there are explicit formulas for all helicity components even at the N-photon level, obtained by Martin et al. in 2002. Here we use the worldline formalism to extend that result to the N-photon amplitudes in a generic constant field. For both scalar and spinor QED, we obtain compact representations for the low-energy limits of these amplitudes involving only simple algebra and a single global proper-time integral with trigonometric integrand.

{
  "license": [
    {
      "url": "http://creativecommons.org/licenses/by/3.0/", 
      "license": "CC-BY-3.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "statement": "The Author(s)", 
      "year": "2024"
    }
  ], 
  "control_number": "84593", 
  "_oai": {
    "updated": "2024-04-25T09:32:08Z", 
    "id": "oai:repo.scoap3.org:84593", 
    "sets": [
      "PLB"
    ]
  }, 
  "authors": [
    {
      "surname": "Ahmadiniaz", 
      "given_names": "Naser", 
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstra\u00dfe 400, Dresden, Germany"
        }
      ], 
      "full_name": "Ahmadiniaz, Naser", 
      "orcid": "0000-0002-0558-9454", 
      "email": "n.ahmadiniaz@hzdr.de"
    }, 
    {
      "affiliations": [
        {
          "country": "Germany", 
          "value": "Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstra\u00dfe 400, Dresden, Germany"
        }, 
        {
          "country": "Germany", 
          "value": "Institut f\u00fcr Theoretische Physik, Technische Universit\u00e4t Dresden, Dresden, Germany"
        }
      ], 
      "surname": "Lopez-Lopez", 
      "given_names": "Misha A.", 
      "full_name": "Lopez-Lopez, Misha A."
    }, 
    {
      "affiliations": [
        {
          "country": "Mexico", 
          "value": "Facultad de Ciencias F\u00edsico-Matem\u00e1ticas, Universidad Michoacana de San Nicol\u00e1s de Hidalgo, Avenida Francisco J. M\u00fajica, Morelia, Mexico"
        }
      ], 
      "surname": "Schubert", 
      "given_names": "Christian", 
      "full_name": "Schubert, Christian"
    }
  ], 
  "_files": [
    {
      "checksum": "md5:042e08fac00e7e79304c0158291c7d11", 
      "filetype": "xml", 
      "bucket": "ebf16bfc-320c-4a61-9984-0de924cece6f", 
      "version_id": "06515540-2c2a-40ad-bb89-de943692c3b2", 
      "key": "10.1016/j.physletb.2024.138610.xml", 
      "size": 208681
    }, 
    {
      "checksum": "md5:1a1c7a2ead0bb39ad92cd38d8943426c", 
      "filetype": "pdf", 
      "bucket": "ebf16bfc-320c-4a61-9984-0de924cece6f", 
      "version_id": "7bf68c1c-3f3f-46de-abcd-1007771392c0", 
      "key": "10.1016/j.physletb.2024.138610.pdf", 
      "size": 480482
    }
  ], 
  "record_creation_date": "2024-04-10T21:30:29.385989", 
  "titles": [
    {
      "source": "Elsevier", 
      "title": "Low-energy limit of N-photon amplitudes in a constant field"
    }
  ], 
  "collections": [
    {
      "primary": "Physics Letters B"
    }
  ], 
  "dois": [
    {
      "value": "10.1016/j.physletb.2024.138610"
    }
  ], 
  "publication_info": [
    {
      "journal_volume": "849 C", 
      "journal_title": "Physics Letters B", 
      "material": "article", 
      "artid": "138610", 
      "year": 2024
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "abstracts": [
    {
      "source": "Elsevier", 
      "value": "While the QED photon amplitudes at full momentum so far have been calculated only up to the six-photon level, in the low-energy limit there are explicit formulas for all helicity components even at the N-photon level, obtained by Martin et al. in 2002. Here we use the worldline formalism to extend that result to the N-photon amplitudes in a generic constant field. For both scalar and spinor QED, we obtain compact representations for the low-energy limits of these amplitudes involving only simple algebra and a single global proper-time integral with trigonometric integrand."
    }
  ], 
  "imprints": [
    {
      "date": "2024-03-28", 
      "publisher": "Elsevier"
    }
  ], 
  "acquisition_source": {
    "date": "2024-04-25T09:30:46.034281", 
    "source": "Elsevier", 
    "method": "Elsevier", 
    "submission_number": "6323940602e611ef81c58e7301cc4a06"
  }
}
Published on:
28 March 2024
Publisher:
Elsevier
Published in:
Physics Letters B , Volume 849 C (2024)

Article ID: 138610
DOI:
https://doi.org/10.1016/j.physletb.2024.138610
Copyrights:
The Author(s)
Licence:
CC-BY-3.0

Fulltext files: