Journal of High Energy Physics (Sep 2022)

Quantization conditions and the double copy

  • William T. Emond,
  • Nathan Moynihan,
  • Liangyu Wei

DOI
https://doi.org/10.1007/JHEP09(2022)108
Journal volume & issue
Vol. 2022, no. 9
pp. 1 – 21

Abstract

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Abstract We formulate Wilson loop observables as products of eikonal Wilson lines given in terms of on-shell scattering amplitudes. We derive the eikonal phases for dyons in both gauge theory and gravity, which we use to derive the Dirac-Schwinger-Zwanziger quantization condition and its relativistic gravitational (Taub-NUT) counterpart via the double copy. We also compute the Wilson loop for an anyon-anyon system, obtaining a relativistic generalisation of the Aharonov-Bohm phase for gravitational anyons.

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