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arXiv · 2109.11531

Quantization Conditions and the Double Copy

William T. Emond·Nathan Moynihan·Liangyu Wei
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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.

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William T. Emond, Nathan Moynihan, Liangyu Wei. 2021-09-23. Quantization Conditions and the Double Copy. https://doi.org/10.1007/jhep09(2022)108

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