Entanglement and the double copy
Abstract We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function characterizing gluons in two copies of SU(N ) gauge...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2020)100 |
| _version_ | 1818553082224574464 |
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| author | Clifford Cheung Grant N. Remmen |
| author_facet | Clifford Cheung Grant N. Remmen |
| author_sort | Clifford Cheung |
| collection | DOAJ |
| description | Abstract We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function characterizing gluons in two copies of SU(N ) gauge theory. Given relatively minimal assumptions following from permutation invariance and dimensional analysis, the three- and four-particle wave functions generate scattering amplitudes that automatically coincide exactly with gravity, modulo normalization. For five-particle scattering the match is not automatic but imposing certain known selection rules on the amplitude is sufficient to uniquely reproduce gravity. The resulting amplitudes exhibit a color-dressed and permutation-invariant form of the usual double copy relations. We compute the entanglement entropy between the two gauge theory copies and learn that these states are maximally-entangled at large N . Moreover, this approach extends immediately to effective field theories, where Born-Infeld photons and Galileons can be similarly recast as entangled gluons and pions. |
| first_indexed | 2024-12-12T09:21:23Z |
| format | Article |
| id | doaj.art-4c4b6f66f7854f4386226598672dd9b7 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T09:21:23Z |
| publishDate | 2020-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4c4b6f66f7854f4386226598672dd9b72022-12-22T00:29:13ZengSpringerOpenJournal of High Energy Physics1029-84792020-05-012020511710.1007/JHEP05(2020)100Entanglement and the double copyClifford Cheung0Grant N. Remmen1Walter Burke Institute for Theoretical Physics, California Institute of TechnologyCenter for Theoretical Physics and Department of Physics, University of California and Lawrence Berkeley National LaboratoryAbstract We construct entangled states of gluons that scatter exactly as if they were gravitons. Operationally, these objects implement the double copy at the level of the wave function. Our analysis begins with a general ansatz for a wave function characterizing gluons in two copies of SU(N ) gauge theory. Given relatively minimal assumptions following from permutation invariance and dimensional analysis, the three- and four-particle wave functions generate scattering amplitudes that automatically coincide exactly with gravity, modulo normalization. For five-particle scattering the match is not automatic but imposing certain known selection rules on the amplitude is sufficient to uniquely reproduce gravity. The resulting amplitudes exhibit a color-dressed and permutation-invariant form of the usual double copy relations. We compute the entanglement entropy between the two gauge theory copies and learn that these states are maximally-entangled at large N . Moreover, this approach extends immediately to effective field theories, where Born-Infeld photons and Galileons can be similarly recast as entangled gluons and pions.http://link.springer.com/article/10.1007/JHEP05(2020)100Scattering AmplitudesModels of Quantum GravityGauge Symmetry |
| spellingShingle | Clifford Cheung Grant N. Remmen Entanglement and the double copy Journal of High Energy Physics Scattering Amplitudes Models of Quantum Gravity Gauge Symmetry |
| title | Entanglement and the double copy |
| title_full | Entanglement and the double copy |
| title_fullStr | Entanglement and the double copy |
| title_full_unstemmed | Entanglement and the double copy |
| title_short | Entanglement and the double copy |
| title_sort | entanglement and the double copy |
| topic | Scattering Amplitudes Models of Quantum Gravity Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP05(2020)100 |
| work_keys_str_mv | AT cliffordcheung entanglementandthedoublecopy AT grantnremmen entanglementandthedoublecopy |