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

Kim, Jung-Wook; Shim, Myungbo

doi:10.1007/jhep02(2021)217

Cited by 18 publications

(15 citation statements)

References 87 publications

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“…As an example, we compute the leading impulse on a probe particle with mass, spin and NUT charge moving in a Kerr-Taub-NUT background. The charged generalisation of the NJ complex map can similarly be connected to the behaviour of three-point amplitudes in the classical limit [98][99][100][101][102][103], and we will reproduce results recently derived from this perspective [102], furthermore calculating the leading angular impulse (i.e. the change in spin during scattering) for the first time.…”

Section: +mentioning

confidence: 88%

A worldsheet for Kerr

Guevara

Maybee

Ochirov

et al. 2021

J. High Energ. Phys.

107

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We show that the Newman-Janis shift property of the exact Kerr solution can be interpreted in terms of a worldsheet effective action. This holds both in gravity, and for the single-copy $$ \sqrt{\mathrm{Kerr}} $$ Kerr solution in electrodynamics. At the level of equations of motion, we show that the Newman-Janis shift holds also for the leading interactions of the Kerr black hole. These leading interactions are conveniently described using chiral classical equations of motion with the help of the spinor-helicity method familiar from scattering amplitudes.

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Section: +mentioning

confidence: 88%

A worldsheet for Kerr

Guevara

Maybee

Ochirov

et al. 2021

J. High Energ. Phys.

107

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“…4 We will take the coupling constants to be real. Complex couplings correspond to dyons for electromagnetic couplings and Taub-NUT probes for gravitational coupling [93][94][95].…”

Section: The Exponentiated Representation Of Matter-graviton Couplingmentioning

confidence: 99%

The 2PM Hamiltonian for binary Kerr to quartic in spin

Chen,

Chung,

Huang

et al. 2021

Preprint

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From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators. An important ingredient is the exponentiated gravitational Compton amplitude in the classical spin-limit for all graviton helicity sectors. The validity of the resulting Hamiltonian is verified by matching to known lower spin order results, as well as direct computation of the 2PM impulse and spin kicks from the eikonal phase and that from the test black hole scattering based on Mathisson-Papapetrou-Dixon equations. Contents 1 Introduction 2 The classical spinning Compton 2.1 The exponentiated representation of matter-graviton coupling 2.2 BCFW construction of Compton amplitude (opposite helicity) 2.3 BCFW construction of Compton amplitude (same helicity) 3 Integral coefficients and the classical potential 3.1 Integral Coefficients 3.1.1 The triangle coefficeints 3.1.2 The box and crossed box coefficients 3.2 Iteration terms 3.2.1 The 3D bubble coefficient 3.2.2 The 3D triangle coefficient: Cancellation of IR divergence 3.3 Conservative spin Hamiltonian 3.4 Matching with other results up to O(S 2 ) 4 Observables 4.1 Observales in the COM frame 4.1.1 Observables from the Hamiltonian EOM 4.1.2 Observables from the eikonal phase 4.2 The background-probe limit 5 Conclusions and outlook A Spin factor composition A.1 Opposite helicity case A.1.1 Helicity configuration 2 + 3 − A.1.2 Helicity configuration 2 − 3 + A.2 Equal helicity case A.2.1 Helicity configuration 2 + 3 + A.2.2 Helicity configuration 2 − 3 − B Classical spinning Compton amplitude for generic Wilson coefficients -i -B.1 The residue integral representation and the spin representation of spinning matter B.2 BCFW construction of Compton amplitude (opposite helicity) B.3 BCFW construction of Compton amplitude (same helicity) B.4 Partial results for integral coefficients in the classical limit B.4.1 Box integral coefficients B.4.2 Triangle integral coefficients C Solving MPD equations iteratively to linear order in test-body spin C.1 Spin vector description of MPD equations C.2 The master perturbation equations C.3 Iterative solution on Kerr-Schild coordinates C.4 Example: equatorial motion with orthogonal initial spin1. All physical channel residues including the t-channel for graviton coupling are correctly captured by this expression to all orders in J.

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“…Recently, they are of renewed interest due to them being the central component in topological quantum computing, a leading candidate for building a functioning quantum computer. Anyons carry both electric charge and magnetic flux, and can be thought of as the 2+1 dimensional cousin of the dyon, which carry both electric and magnetic charges and have been recently studied using on-shell amplitudes [5][6][7][8][9][10]. Over the last two decades, on-shell scattering amplitude techniques have been highly successful in enhancing our understanding of gravitational physics, becoming standard tools to understand the two-body problem [11][12][13][14][15][16][17][18][19][20][21], utilising many of the simplifications that on-shell philosophy has to offer, such as the double copy [22] (including in massive gravity [23][24][25]).…”

Section: Introductionmentioning

confidence: 99%

Anyons and the double copy

Burger

Emond

Moynihan

2022

J. High Energ. Phys.

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We examine the double copy structure of anyons in gauge theory and gravity. Using on-shell amplitude techniques, we construct little group covariant spinor-helicity variables describing massive particles with spin, which together with locality and unitarity enables us to derive the long-range tree-level scattering amplitudes involving anyons. We discover that classical gauge theory anyon solutions double copy to their gravitational counterparts in a non-trivial manner. Interestingly, we show that the massless double copy captures the topological structure of curved spacetime in three dimensions by introducing a non-trivial mixing of the topological graviton and the dilaton. Finally, we show that the celebrated Aharonov-Bohm phase can be derived directly from the constructed on-shell amplitude, and that it too enjoys a simple double copy to its gravitational counterpart.

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

Cited by 18 publications

References 87 publications

A worldsheet for Kerr

A worldsheet for Kerr

The 2PM Hamiltonian for binary Kerr to quartic in spin

Anyons and the double copy

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