Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills
Abstract Building on our proposal in [1], we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub n -leading soft theorems at all orders. The generality of the procedure allows it to b...
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2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)068 |
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| author | Silvia Nagy Javier Peraza Giorgio Pizzolo |
| author_facet | Silvia Nagy Javier Peraza Giorgio Pizzolo |
| author_sort | Silvia Nagy |
| collection | DOAJ |
| description | Abstract Building on our proposal in [1], we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub n -leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the sub n -leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity. We also apply our method to the computation of non-universal terms in the sub-leading charges arising in theories with higher derivative interaction terms. |
| format | Article |
| id | doaj-art-dbc3d16dc03e4c3da41e89364edacccb |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-dbc3d16dc03e4c3da41e89364edacccb2024-12-22T12:09:50ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241216010.1007/JHEP12(2024)068Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-MillsSilvia Nagy0Javier Peraza1Giorgio Pizzolo2Department of Mathematical Sciences, Durham UniversityDepartment of Mathematics and Statistics, Concordia UniversityDepartment of Mathematical Sciences, Durham UniversityAbstract Building on our proposal in [1], we present in detail the construction of the extended phase space for Yang-Mills at null infinity, containing the asymptotic symmetries and the charges responsible for sub n -leading soft theorems at all orders. The generality of the procedure allows it to be directly applied to the computation of both tree and loop-level soft limits. We also give a detailed study of Yang-Mills equations under the radial expansion, giving a thorough construction of the radiative phase space for decays compatible with tree-level amplitudes for both light-cone and radial gauges. This gives rise to useful recursion relations at all orders between the field strength and the vector gauge coefficients. We construct the sub n -leading charges recursively, and show a hierarchical truncation such that each charge subalgebra is closed, and their action in the extended phase space is canonical. We relate these results with the infinite-dimensional algebras that have been recently introduced in the context of conformal field theories at null infinity. We also apply our method to the computation of non-universal terms in the sub-leading charges arising in theories with higher derivative interaction terms.https://doi.org/10.1007/JHEP12(2024)068Gauge SymmetryScattering Amplitudes |
| spellingShingle | Silvia Nagy Javier Peraza Giorgio Pizzolo Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills Journal of High Energy Physics Gauge Symmetry Scattering Amplitudes |
| title | Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills |
| title_full | Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills |
| title_fullStr | Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills |
| title_full_unstemmed | Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills |
| title_short | Infinite-dimensional hierarchy of recursive extensions for all sub n -leading soft effects in Yang-Mills |
| title_sort | infinite dimensional hierarchy of recursive extensions for all sub n leading soft effects in yang mills |
| topic | Gauge Symmetry Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP12(2024)068 |
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