Quantization Conditions and the Double Copy

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.

Revised text and refined some arguments, added references

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Cited by in corpus (3)

• Black Holes in Klein Space
• Why is the Weyl double copy local in position space?
• Observables from the Spinning Eikonal