Anyons and the double copy

Journal of High Energy Physics

William T. Emond¹  Nathan Moynihan²  Daniel J Burger³ 

[1] CEICO, Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, 182 21, Praha 8, Czech Republic;Higgs Centre for Theoretical Physics, School of Physics and Astronomy, The University of Edinburgh, EH9 3FD, Edinburgh, Scotland, U.K.;The Laboratory for Quantum Gravity & Strings, Department of Mathematics & Applied Mathematics, University of Cape Town, Cape Town, South Africa;

关键词: Scattering Amplitudes;    Anyons;    Chern-Simons Theories;    Field Theories in Lower Dimensions;   

DOI  :  10.1007/JHEP01(2022)017

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY