Flavour-kinematics duality for Goldstone modes
Abstract Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear σ-model, multi-DBI theory and the special Galileon. We discuss how these theories are related via...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-10-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)066 |
| _version_ | 1817983932708159488 |
|---|---|
| author | Dijs de Neeling Diederik Roest Sam Veldmeijer |
| author_facet | Dijs de Neeling Diederik Roest Sam Veldmeijer |
| author_sort | Dijs de Neeling |
| collection | DOAJ |
| description | Abstract Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear σ-model, multi-DBI theory and the special Galileon. We discuss how these theories are related via flavour-kinematics duality, analogous to the colour-kinematics duality between gravity and gauge theories. At the off-shell level, we identify a specific mapping between the three theories that is crucially dependent on their non-linear symmetries. Similarly, we demonstrate how the on-shell amplitudes factorise into BCJ numerators describing flavour and a scalar version of kinematics, naturally leading to the inclusion of graviton exchange in the SO(M, N) non-linear σ-model. Finally, we map those numerators onto each other, and comment on a similar relation to tensor kinematics. Our results highlight a common structure that underlies the physics of different Goldstone modes. |
| first_indexed | 2024-04-13T23:39:18Z |
| format | Article |
| id | doaj.art-c5de587c5b9845b2a6e93b9fcfa39d84 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T23:39:18Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c5de587c5b9845b2a6e93b9fcfa39d842022-12-22T02:24:37ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221012910.1007/JHEP10(2022)066Flavour-kinematics duality for Goldstone modesDijs de Neeling0Diederik Roest1Sam Veldmeijer2Van Swinderen Institute for Particle Physics and Gravity, University of GroningenVan Swinderen Institute for Particle Physics and Gravity, University of GroningenVan Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract Three scalar effective field theories have special properties in terms of non-linear symmetries, soft limits and on-shell constructability that arise from their Goldstone nature: the non-linear σ-model, multi-DBI theory and the special Galileon. We discuss how these theories are related via flavour-kinematics duality, analogous to the colour-kinematics duality between gravity and gauge theories. At the off-shell level, we identify a specific mapping between the three theories that is crucially dependent on their non-linear symmetries. Similarly, we demonstrate how the on-shell amplitudes factorise into BCJ numerators describing flavour and a scalar version of kinematics, naturally leading to the inclusion of graviton exchange in the SO(M, N) non-linear σ-model. Finally, we map those numerators onto each other, and comment on a similar relation to tensor kinematics. Our results highlight a common structure that underlies the physics of different Goldstone modes.https://doi.org/10.1007/JHEP10(2022)066Effective Field TheoriesGauge-Gravity CorrespondenceScattering Amplitudes |
| spellingShingle | Dijs de Neeling Diederik Roest Sam Veldmeijer Flavour-kinematics duality for Goldstone modes Journal of High Energy Physics Effective Field Theories Gauge-Gravity Correspondence Scattering Amplitudes |
| title | Flavour-kinematics duality for Goldstone modes |
| title_full | Flavour-kinematics duality for Goldstone modes |
| title_fullStr | Flavour-kinematics duality for Goldstone modes |
| title_full_unstemmed | Flavour-kinematics duality for Goldstone modes |
| title_short | Flavour-kinematics duality for Goldstone modes |
| title_sort | flavour kinematics duality for goldstone modes |
| topic | Effective Field Theories Gauge-Gravity Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP10(2022)066 |
| work_keys_str_mv | AT dijsdeneeling flavourkinematicsdualityforgoldstonemodes AT diederikroest flavourkinematicsdualityforgoldstonemodes AT samveldmeijer flavourkinematicsdualityforgoldstonemodes |