Classical Double Copy of Worldline Quantum Field Theory

Shi, Canxin; Plefka, Jan

doi:10.48550/arxiv.2109.10345

Cited by 4 publications

(4 citation statements)

References 33 publications

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“…In the probe limit, fully non-perturbative amplitudes are available by solving the relevant (relativistic) Schrödinger equation; formerly confusing issues related to pair production are nowadays well understood and need not concern us. Our work is closely connected to other approaches based on studying the quantum field theory of the worldlines [100][101][102].…”

Section: Introductionmentioning

confidence: 81%

The Radial Action from Probe Amplitudes to All Orders

Kol,

O'connell,

Telem

2021

Preprint

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We extract the relativistic classical radial action from scattering amplitudes, to all orders in perturbation theory, in the probe limit. Our sources include point charges and monopoles, as well as the Schwarzschild and pure-NUT gravitational backgrounds. A characteristic relativistic effect, that scattering trajectories may wind around these sources any number of times, can be recovered when all-order amplitudes are available. We show that the amplitude for scattering a probe off a pure NUT is given by the solution of a transcendental equation involving continued fractions, and explain how to solve this equation to any desired loop order.

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Section: Introductionmentioning

confidence: 81%

The Radial Action from Probe Amplitudes to All Orders

Kol,

O'connell,

Telem

2021

Preprint

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“…Other direct extensions would involve applying our tools to the calculation of the classical NLO angular impulse, following a similar recipe as given in [82,130], or to turn to the investigation of the double copy relation between dyons and the Taub-NUT solution [41,[131][132][133][134]. Finally, it would be useful to link our results to recently rediscovered eikonal methods [22,27,29,32,34,40,49,[135][136][137][138][139][140][141][142][143][144] where one is able to obtain observables by differentiation of a scalar function (or a coherent state parameter) which entails the conservative (and radiative) dynamics.…”

Section: Discussionmentioning

confidence: 99%

NLO deflections for spinning particles and Kerr black holes

Menezes¹,

Sergola²

2022

Preprint

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We employ the "KMOC" formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations. We do this in electrodynamics and gravity, up to order O(e 2 a ∞ i a 2 j ) and O(G 2 N a ∞ i a 4 j ) respectively. We carry out our computations both using a unitarity based framework and Feynman diagrammatic approach which relies on scattering amplitudes computed on fixed backgrounds. Emphasis is given to the probe limit scenario, where we are able to work to all orders in one of the particle's spins.

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“…[23,24,25]) which since the direct detection of gravitational waves in the LIGO and VIRGO experiments [26,27] has become a very active field of research. Very recently, a classical double-copy relation was developed in the context of a worldline QFT description of the classical gravitational scattering of massive bodies [28].…”

Section: Introductionmentioning

confidence: 99%

Manifest colour-kinematics duality and double-copy in the string-based formalism

Ahmadiniaz,

Balli,

Corradini

et al. 2021

Preprint

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The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we show that in order for this to happen we first have to ensure that the multiparticle polarisations satisfy colour-kinematics duality. In previous work it has been show that this arises naturally from the Bern-Kosower formalism for one-loop gluon amplitudes, and here we show that the tensor product for multi-particle fields arise naturally in the Bern-Dunbar-Shimada formalism for one-loop gravity amplitudes. This allows us to formulate a new prescription for double-copy gravity Berends-Giele currents, and to obtain both the colour-dressed Yang-Mills Berends-Giele currents in the Bern-Carrasco-Johansson gauge and the gravitational Berends-Giele currents explicitly. An attractive feature of our formalism is that it never becomes necessary to determine gauge transformation terms. Our double-copy prescription can also be applied to other cases, and to make this point we derive the double-copy perturbiners for α -deformed gravity and the bi-adjoint scalar model.

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Classical Double Copy of Worldline Quantum Field Theory

Cited by 4 publications

References 33 publications

The Radial Action from Probe Amplitudes to All Orders

The Radial Action from Probe Amplitudes to All Orders

NLO deflections for spinning particles and Kerr black holes

Manifest colour-kinematics duality and double-copy in the string-based formalism

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