Non-perturbative aspects of the self-dual double copy
Abstract The double copy is by now a firmly-established correspondence between amplitudes and classical solutions in biadjoint scalar, gauge and gravity theories. To date, no strongly coupled examples of the double copy in four dimensions have been found, and previous attempts based on exact non-lin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2022)160 |
| _version_ | 1828358056547713024 |
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| author | Kymani Armstrong-Williams Chris D. White Sam Wikeley |
| author_facet | Kymani Armstrong-Williams Chris D. White Sam Wikeley |
| author_sort | Kymani Armstrong-Williams |
| collection | DOAJ |
| description | Abstract The double copy is by now a firmly-established correspondence between amplitudes and classical solutions in biadjoint scalar, gauge and gravity theories. To date, no strongly coupled examples of the double copy in four dimensions have been found, and previous attempts based on exact non-linear solutions of biadjoint theory in Lorentzian signature have failed. In this paper, we instead look for biadjoint solutions in Euclidean signature, which may be relatable to Yang-Mills or gravitational instantons. We show that spherically symmetric power-like Euclidean solutions do not exist in precisely four spacetime dimensions. The explanation for why this is the case turns out to involve the Eguchi-Hanson instanton, whose single copy structure is found to be more complicated (and interesting) than previously thought. We provide a more general prescription for double- copying instantons, and explain how our results provide a higher-dimensional complement to a recently presented non-perturbative double copy of exact solutions in two spacetime dimensions. In doing so, we demonstrate how the replacement of colour by kinematic Lie algebras operates at the level of exact classical solutions. |
| first_indexed | 2024-04-14T03:23:51Z |
| format | Article |
| id | doaj.art-8df538bc6aad4d1890c7d21ee58e395c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-14T03:23:51Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8df538bc6aad4d1890c7d21ee58e395c2022-12-22T02:15:15ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022813110.1007/JHEP08(2022)160Non-perturbative aspects of the self-dual double copyKymani Armstrong-Williams0Chris D. White1Sam 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 The double copy is by now a firmly-established correspondence between amplitudes and classical solutions in biadjoint scalar, gauge and gravity theories. To date, no strongly coupled examples of the double copy in four dimensions have been found, and previous attempts based on exact non-linear solutions of biadjoint theory in Lorentzian signature have failed. In this paper, we instead look for biadjoint solutions in Euclidean signature, which may be relatable to Yang-Mills or gravitational instantons. We show that spherically symmetric power-like Euclidean solutions do not exist in precisely four spacetime dimensions. The explanation for why this is the case turns out to involve the Eguchi-Hanson instanton, whose single copy structure is found to be more complicated (and interesting) than previously thought. We provide a more general prescription for double- copying instantons, and explain how our results provide a higher-dimensional complement to a recently presented non-perturbative double copy of exact solutions in two spacetime dimensions. In doing so, we demonstrate how the replacement of colour by kinematic Lie algebras operates at the level of exact classical solutions.https://doi.org/10.1007/JHEP08(2022)160Scattering AmplitudesClassical Theories of GravitySolitons Monopoles and Instantons |
| spellingShingle | Kymani Armstrong-Williams Chris D. White Sam Wikeley Non-perturbative aspects of the self-dual double copy Journal of High Energy Physics Scattering Amplitudes Classical Theories of Gravity Solitons Monopoles and Instantons |
| title | Non-perturbative aspects of the self-dual double copy |
| title_full | Non-perturbative aspects of the self-dual double copy |
| title_fullStr | Non-perturbative aspects of the self-dual double copy |
| title_full_unstemmed | Non-perturbative aspects of the self-dual double copy |
| title_short | Non-perturbative aspects of the self-dual double copy |
| title_sort | non perturbative aspects of the self dual double copy |
| topic | Scattering Amplitudes Classical Theories of Gravity Solitons Monopoles and Instantons |
| url | https://doi.org/10.1007/JHEP08(2022)160 |
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