Anyons and the Double Copy
| Autor: | Burger, Daniel J, Emond, William T., Moynihan, Nathan |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables describing massive particles with spin, which together with locality and unitarity enables us to derive the long-range tree-level scattering amplitudes involving anyons. We discover that classical gauge theory anyon solutions double copy to their gravitational counterparts in a non-trivial manner. Interestingly, we show that the massless double copy captures the topological structure of curved spacetime in three dimensions by introducing a non-trivial mixing of the topological graviton and the dilaton. Finally, we show that the celebrated Aharonov-Bohm phase can be derived directly from the constructed on-shell amplitude and that it too enjoys a simple double copy to its gravitational counterpart. Comment: Added depth to first section, minor corrections elsewhere |
| Databáze: | arXiv |
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