Anyons and the double copy

0567199 - FZÚ 2023 RIV US eng J - Journal Article
Burger, D.J. - Emond, William T. - Moynihan, N.
Anyons and the double copy.
Journal of High Energy Physics. Roč. 2022, č. 1 (2022), č. článku 017. ISSN 1029-8479. E-ISSN 1029-8479
R&D Projects: GA ČR(CZ) GJ20-16531Y
Institutional support: RVO:68378271
Keywords : scattering amplitudes * anyons * Chern-Simons theories
OECD category: Particles and field physics
Impact factor: 5.4, year: 2022
Method of publishing: Open access

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.
Permanent Link: https://hdl.handle.net/11104/0338477