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The Uncertainty Principle and Classical Amplitudes
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We study the variance in the measurement of observables during scattering events, as computed using amplitudes. The classical regime, characterised by negligible uncertainty, emerges as a consequence of an infinite set of relationships among multileg, multiloop amplitudes in a momentum-transfer expansion. We discuss two non-trivial examples in detail: the six-point tree and the five-point one-loop amplitudes in scalar QED. We interpret these relationships in terms or a coherent exponentiation of radiative effects in the classical limit which generalises the eikonal formula, and show how to recover the impulse, including radiation reaction, from this generalised eikonal. Finally, we incorporate the physics of spin into our framework.
Forward citations
Cited by 11 Pith papers
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Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$
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Supertranslations are Soft Dressings
Coherent-state dressings by zero-energy gravitons are equivalent to BMS supertranslations, and the associated conserved charge produces a universal, all-orders shift of the scattering impact parameter.
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Kerr Soft Dressing and the $w_{1+\infty}$ Frame Algebra at Null Infinity
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Suppressed Quantum Effects of Weakly Coupled Waves
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Nonlinear Gravitational Memory in the Post-Minkowskian Expansion
Exact-in-velocity formulas for the O(G^3) nonlinear gravitational memory multipoles from two-body scattering, derived with scattering amplitudes and reverse unitarity, and matched to post-Newtonian results.
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Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects
First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.
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First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.
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Generalized Wilson lines and the gravitational scattering of spinning bodies
A new generalized Wilson line representation for spin-1/2 and classical spinning bodies is derived, reproducing known 2PM gravitational scattering observables.
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One-Loop Observables to Higher Order in Spin
New one-loop formulas express the momentum impulse and spin kick of two scattered spinning bodies directly in terms of the eikonal phase, valid to all orders in spin and independent of the spin supplementary condition.
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On-shell approach to scalar hair in spinning binaries
Scalar hair on spinning compact objects is described by a conformal coupling of matter to a massless scalar, yielding matching waveforms and energy loss formulas for scalar-tensor gravity binaries.
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Classical Observables from Causal Response Functions
Asymptotic in-in observables are computed from a soft limit of five-point causal response functions, reproducing KMOC results and resolving the radiated angular momentum ambiguity in scalar QED.
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