Gravitational dyonic amplitude at one-loop and its inconsistency with the classical impulse

Author:

Kim Jung-WookORCID,Shim MyungboORCID

Abstract

Abstract The recent proposal [1, 2] of implementing electric-magnetic duality rotation at the level of perturbative scattering amplitudes and its generalisation to gravitational context where usual gravitational mass is rotated to the NUT parameter of the Taub-NUT spacetime opens up an interesting avenue for studying NUT-charged objects as dynamical entities, in contrast to the usual approach where NUT-charged objects are considered as a static background. We extend the tree-order analysis to one-loop order, and find a disagreement between geodesic motion on Taub-NUT background and impulse computation of scattering amplitudes. As a by-product of our analysis, we find a relation between tidal response parameters and resonance excitation parameters in the language of quantum field theory scattering amplitudes.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Reference88 articles.

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2. W. T. Emond, Y.-T. Huang, U. Kol, N. Moynihan and D. O’Connell, Amplitudes from Coulomb to Kerr-Taub-NUT, arXiv:2010.07861 [INSPIRE].

3. A. H. Taub, Empty space-times admitting a three parameter group of motions, Annals Math. 53 (1951) 472 [INSPIRE].

4. E. Newman, L. Tamburino and T. Unti, Empty space generalization of the Schwarzschild metric, J. Math. Phys. 4 (1963) 915 [INSPIRE].

5. C. W. Misner, The Flatter regions of Newman, Unti and Tamburino’s generalized Schwarzschild space, J. Math. Phys. 4 (1963) 924 [INSPIRE].

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