The self-dual classical double copy, and the Eguchi-Hanson instanton
Abstract The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the double copy for exact solutions that are self-dual in either the gauge or gravity theory. In this ca...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)107 |
| _version_ | 1819023064821661696 |
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| author | David S. Berman Erick Chacón Andrés Luna Chris D. White |
| author_facet | David S. Berman Erick Chacón Andrés Luna Chris D. White |
| author_sort | David S. Berman |
| collection | DOAJ |
| description | Abstract The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the double copy for exact solutions that are self-dual in either the gauge or gravity theory. In this case, one may formulate a general double copy in terms of a certain differential operator, which generates the gauge and gravity solutions from a harmonic function residing in a biadjoint scalar theory. As an illustration, we examine the single copy of the well-known Eguchi-Hanson instanton in gravity. The gauge field thus obtained represents an abelian-like object whose field is dipole-like at large distances, and which has no magnetic or electric charge. |
| first_indexed | 2024-12-21T04:32:57Z |
| format | Article |
| id | doaj.art-f60c5ead4b7846aab61b34df5b39563c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T04:32:57Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f60c5ead4b7846aab61b34df5b39563c2022-12-21T19:15:54ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019112110.1007/JHEP01(2019)107The self-dual classical double copy, and the Eguchi-Hanson instantonDavid S. Berman0Erick Chacón1Andrés Luna2Chris D. White3Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonDepartamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalMani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of CaliforniaCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the double copy for exact solutions that are self-dual in either the gauge or gravity theory. In this case, one may formulate a general double copy in terms of a certain differential operator, which generates the gauge and gravity solutions from a harmonic function residing in a biadjoint scalar theory. As an illustration, we examine the single copy of the well-known Eguchi-Hanson instanton in gravity. The gauge field thus obtained represents an abelian-like object whose field is dipole-like at large distances, and which has no magnetic or electric charge.http://link.springer.com/article/10.1007/JHEP01(2019)107Scattering AmplitudesSolitons Monopoles and Instantons |
| spellingShingle | David S. Berman Erick Chacón Andrés Luna Chris D. White The self-dual classical double copy, and the Eguchi-Hanson instanton Journal of High Energy Physics Scattering Amplitudes Solitons Monopoles and Instantons |
| title | The self-dual classical double copy, and the Eguchi-Hanson instanton |
| title_full | The self-dual classical double copy, and the Eguchi-Hanson instanton |
| title_fullStr | The self-dual classical double copy, and the Eguchi-Hanson instanton |
| title_full_unstemmed | The self-dual classical double copy, and the Eguchi-Hanson instanton |
| title_short | The self-dual classical double copy, and the Eguchi-Hanson instanton |
| title_sort | self dual classical double copy and the eguchi hanson instanton |
| topic | Scattering Amplitudes Solitons Monopoles and Instantons |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)107 |
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