Double copy and the double Poisson bracket
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912672129220608 |
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| author | Kim, Joon-Hwi |
| author_facet | Kim, Joon-Hwi |
| contents | We derive first-order and second-order field equations from ambitwistor spaces as phase spaces of massless particles. In particular, the second-order field equations of Yang-Mills theory and general relativity are formulated in a unified form $\{\{H,H\}\}_\nabla = 0$, whose left-hand side describes a doubling of Poisson bracket in a covariant sense. This structure originates from a one-loop diagram encoded in gauge-covariant, associative operator products on the ambitwistor worldlines. A conjecture arises that the kinematic algebra might manifest as the Poisson algebra of ambitwistor space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23080 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double copy and the double Poisson bracket Kim, Joon-Hwi High Energy Physics - Theory We derive first-order and second-order field equations from ambitwistor spaces as phase spaces of massless particles. In particular, the second-order field equations of Yang-Mills theory and general relativity are formulated in a unified form $\{\{H,H\}\}_\nabla = 0$, whose left-hand side describes a doubling of Poisson bracket in a covariant sense. This structure originates from a one-loop diagram encoded in gauge-covariant, associative operator products on the ambitwistor worldlines. A conjecture arises that the kinematic algebra might manifest as the Poisson algebra of ambitwistor space. |
| title | Double copy and the double Poisson bracket |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.23080 |