Quantization Conditions and the Double Copy
High Energy Physics - Theory
2022-09-28 v2
Abstract
We formulate Wilson loop observables as products of eikonal Wilson lines given in terms of on-shell scattering amplitudes. Using these, we derive the Dirac-Schwinger-Zwanziger quantization condition and its gravitational (Taub-NUT) double copy, where we find a relativistic generalisation of the usual non-relativistic gravitational quantization condition. We also compute the relativistic Wilson loop for an anyon-anyon system, obtaining a similar relativistic generalisation of the Aharonov-Bohm phase for gravitational anyons.
Cite
@article{arxiv.2109.11531,
title = {Quantization Conditions and the Double Copy},
author = {William T. Emond and Nathan Moynihan and Liangyu Wei},
journal= {arXiv preprint arXiv:2109.11531},
year = {2022}
}
Comments
Revised text and refined some arguments, added references