Large gauge effects and the structure of amplitudes
Abstract We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event. This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)204 |
| _version_ | 1797675793786077184 |
|---|---|
| author | Andrea Cristofoli Asaad Elkhidir Anton Ilderton Donal O’Connell |
| author_facet | Andrea Cristofoli Asaad Elkhidir Anton Ilderton Donal O’Connell |
| author_sort | Andrea Cristofoli |
| collection | DOAJ |
| description | Abstract We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event. This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and exact methods in field theory. The tension is resolved to all orders of perturbation theory once large gauge effects are included via a modified LSZ prescription; if they are omitted, perturbative methods only recover a subset of terms in the full non-perturbative expression. Although our results are derived in the context of specific examples, several aspects of our work have analogues in dynamical gravitational scattering processes. |
| first_indexed | 2024-03-11T22:19:51Z |
| format | Article |
| id | doaj.art-5004bc7d864b4ec28ab845111c09f0ff |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:19:51Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5004bc7d864b4ec28ab845111c09f0ff2023-09-24T11:06:51ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023614110.1007/JHEP06(2023)204Large gauge effects and the structure of amplitudesAndrea Cristofoli0Asaad Elkhidir1Anton Ilderton2Donal O’Connell3School of Mathematics and Maxwell Institute for Mathematical Sciences, University of EdinburghHiggs Centre, School of Physics and Astronomy, University of EdinburghHiggs Centre, School of Physics and Astronomy, University of EdinburghHiggs Centre, School of Physics and Astronomy, University of EdinburghAbstract We show that large gauge transformations modify the structure of momentum conservation leading to non-vanishing three-point amplitudes in a simple toy model of a gravitational wave event. This phenomenon resolves an apparent tension between perturbative scattering amplitude computations and exact methods in field theory. The tension is resolved to all orders of perturbation theory once large gauge effects are included via a modified LSZ prescription; if they are omitted, perturbative methods only recover a subset of terms in the full non-perturbative expression. Although our results are derived in the context of specific examples, several aspects of our work have analogues in dynamical gravitational scattering processes.https://doi.org/10.1007/JHEP06(2023)204Classical Theories of GravityScattering Amplitudes |
| spellingShingle | Andrea Cristofoli Asaad Elkhidir Anton Ilderton Donal O’Connell Large gauge effects and the structure of amplitudes Journal of High Energy Physics Classical Theories of Gravity Scattering Amplitudes |
| title | Large gauge effects and the structure of amplitudes |
| title_full | Large gauge effects and the structure of amplitudes |
| title_fullStr | Large gauge effects and the structure of amplitudes |
| title_full_unstemmed | Large gauge effects and the structure of amplitudes |
| title_short | Large gauge effects and the structure of amplitudes |
| title_sort | large gauge effects and the structure of amplitudes |
| topic | Classical Theories of Gravity Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP06(2023)204 |
| work_keys_str_mv | AT andreacristofoli largegaugeeffectsandthestructureofamplitudes AT asaadelkhidir largegaugeeffectsandthestructureofamplitudes AT antonilderton largegaugeeffectsandthestructureofamplitudes AT donaloconnell largegaugeeffectsandthestructureofamplitudes |