Anomaly and double copy in quantum self-dual Yang-Mills and gravity
Abstract Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the light-cone-gauge formulation of the theories. Firstly, we describe...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2023)030 |
| _version_ | 1797371222356393984 |
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| author | Ricardo Monteiro Ricardo Stark-Muchão Sam Wikeley |
| author_facet | Ricardo Monteiro Ricardo Stark-Muchão Sam Wikeley |
| author_sort | Ricardo Monteiro |
| collection | DOAJ |
| description | Abstract Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the light-cone-gauge formulation of the theories. Firstly, we describe how the infinite tower of symmetries associated to classical integrability can be quantum corrected, exhibiting the one-loop anomaly. Secondly, we present quantum-corrected light-cone Lagrangians worthy of the simplicity of the amplitudes, building on recent works describing the anomaly in twistor space. Finally, we discover an unexpected BCJ-like double copy for the (loop-integrated) amplitudes, distinct from the well-known BCJ double copy for the loop integrands. |
| first_indexed | 2024-03-08T18:16:47Z |
| format | Article |
| id | doaj.art-9308e6e6c09a4bbc8f92f9b2a577020c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T18:16:47Z |
| publishDate | 2023-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-9308e6e6c09a4bbc8f92f9b2a577020c2023-12-31T12:06:55ZengSpringerOpenJournal of High Energy Physics1029-84792023-09-012023912610.1007/JHEP09(2023)030Anomaly and double copy in quantum self-dual Yang-Mills and gravityRicardo Monteiro0Ricardo Stark-Muchão1Sam Wikeley2Centre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonCentre for Theoretical Physics, Department of Physics and Astronomy, Queen Mary University of LondonAbstract Recent works have explored how scattering amplitudes in quantum self-dual Yang-Mills theory and self-dual gravity can be interpreted as resulting from an anomaly, as first proposed by W. Bardeen. We study this problem in the light-cone-gauge formulation of the theories. Firstly, we describe how the infinite tower of symmetries associated to classical integrability can be quantum corrected, exhibiting the one-loop anomaly. Secondly, we present quantum-corrected light-cone Lagrangians worthy of the simplicity of the amplitudes, building on recent works describing the anomaly in twistor space. Finally, we discover an unexpected BCJ-like double copy for the (loop-integrated) amplitudes, distinct from the well-known BCJ double copy for the loop integrands.https://doi.org/10.1007/JHEP09(2023)030Anomalies in Field and String TheoriesScattering Amplitudes |
| spellingShingle | Ricardo Monteiro Ricardo Stark-Muchão Sam Wikeley Anomaly and double copy in quantum self-dual Yang-Mills and gravity Journal of High Energy Physics Anomalies in Field and String Theories Scattering Amplitudes |
| title | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| title_full | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| title_fullStr | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| title_full_unstemmed | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| title_short | Anomaly and double copy in quantum self-dual Yang-Mills and gravity |
| title_sort | anomaly and double copy in quantum self dual yang mills and gravity |
| topic | Anomalies in Field and String Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP09(2023)030 |
| work_keys_str_mv | AT ricardomonteiro anomalyanddoublecopyinquantumselfdualyangmillsandgravity AT ricardostarkmuchao anomalyanddoublecopyinquantumselfdualyangmillsandgravity AT samwikeley anomalyanddoublecopyinquantumselfdualyangmillsandgravity |