Worldline geometries for scattering amplitudes
Abstract In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This procedure implements automatically the LSZ reduction, thus lea...
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2025-06-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP06(2025)167 |
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| author | Roberto Bonezzi Maria Foteini Kallimani |
| author_facet | Roberto Bonezzi Maria Foteini Kallimani |
| author_sort | Roberto Bonezzi |
| collection | DOAJ |
| description | Abstract In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This procedure implements automatically the LSZ reduction, thus leading to a direct worldline representation of scattering amplitudes. To obtain it, we introduce generalized vertex operators, to be viewed as the gluing of entire tree subdiagrams to a given worldline. We demonstrate that the subdiagrams themselves are given, via a recursive relation, by correlation functions on the semi-infinite line. In this sense, the approach we take is fully first-quantized, in that it does not need any field theoretic quantity as input. We envisage that, when suitably extended to gauge theories, it could provide useful insights in addressing current research issues, such as color-kinematics duality. |
| format | Article |
| id | doaj-art-cab6bf2c4e394a06b8617c73721fc39d |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-cab6bf2c4e394a06b8617c73721fc39d2025-08-20T03:42:37ZengSpringerOpenJournal of High Energy Physics1029-84792025-06-012025614310.1007/JHEP06(2025)167Worldline geometries for scattering amplitudesRoberto Bonezzi0Maria Foteini Kallimani1Institute for Physics, Humboldt University BerlinInstitute for Physics, Humboldt University BerlinAbstract In this paper, we construct the path integral for infinite and semi-infinite scalar worldlines. We show that, at the asymptotic endpoints, on-shell physical states can be generated by inserting vertex operators at infinity. This procedure implements automatically the LSZ reduction, thus leading to a direct worldline representation of scattering amplitudes. To obtain it, we introduce generalized vertex operators, to be viewed as the gluing of entire tree subdiagrams to a given worldline. We demonstrate that the subdiagrams themselves are given, via a recursive relation, by correlation functions on the semi-infinite line. In this sense, the approach we take is fully first-quantized, in that it does not need any field theoretic quantity as input. We envisage that, when suitably extended to gauge theories, it could provide useful insights in addressing current research issues, such as color-kinematics duality.https://doi.org/10.1007/JHEP06(2025)167Field Theories in Lower DimensionsScattering AmplitudesBRST Quantization |
| spellingShingle | Roberto Bonezzi Maria Foteini Kallimani Worldline geometries for scattering amplitudes Journal of High Energy Physics Field Theories in Lower Dimensions Scattering Amplitudes BRST Quantization |
| title | Worldline geometries for scattering amplitudes |
| title_full | Worldline geometries for scattering amplitudes |
| title_fullStr | Worldline geometries for scattering amplitudes |
| title_full_unstemmed | Worldline geometries for scattering amplitudes |
| title_short | Worldline geometries for scattering amplitudes |
| title_sort | worldline geometries for scattering amplitudes |
| topic | Field Theories in Lower Dimensions Scattering Amplitudes BRST Quantization |
| url | https://doi.org/10.1007/JHEP06(2025)167 |
| work_keys_str_mv | AT robertobonezzi worldlinegeometriesforscatteringamplitudes AT mariafoteinikallimani worldlinegeometriesforscatteringamplitudes |