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Eikonal Quantum Gravity and Planckian Scattering

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arxiv hep-th/9203082 v1 pith:ZGT2YCAP submitted 1992-03-30 hep-th

classification hep-th
keywords eikonalscatteringamplitudegravityquantumapproachesapproximationapproximations
verification ladder T0 review T1 audit T2 compute T3 formal
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Various approaches to high energy forward scattering in quantum gravity are compared using the eikonal approximation. The massless limit of the eikonal is shown to be equivalent to other approximations for the same process, specifically the semiclassical calculation due to G. 't Hooft and the topological field theory due to H. and E. Verlinde. This comparison clarifies these previous results, as it is seen that the amplitude arises purely from a linearised gravitational interaction. The interpretation of poles in the scattering amplitude is also clarified.

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Cited by 12 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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    In a toy model of de Sitter quantum gravity, shockwave time advances break the KMS condition and prevent the Hartle-Hawking state from being a trace on the observer's crossed-product algebra.

  2. Out-of-time-ordered Correlators in de Sitter Revisited

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    The de Sitter OTOC grows at the maximal Lyapunov rate 2π/β at tree level and at twice that rate in a massive-graviton-regulated double-scaling limit, with the growth traced to large diffeomorphisms in the graviton propagator.

  3. Bootstrapping black holes at low impact parameter

    hep-th 2026-07 conditional novelty 7.0 of 10

    After eikonal subtraction, finite-grid SDR bootstrap extremal spectra support a cap-saturated black-hole-scale band and Regge-like ridge while leaving the intervening gap mostly empty.

  4. Bootstrapping black holes at low impact parameter

    hep-th 2026-07 conditional novelty 7.0 of 10

    After subtracting the eikonal carrier, the residual SDR spectrum in six dimensions organizes into a cap-saturated low-impact band, an empty gap, and Regge-like ridges whose weak-coupling edge is the G_N=0 baseline.

  5. The algebraic structure of gravitational scrambling

    hep-th 2025-08 conditional novelty 7.0 of 10

    The paper builds an operator algebra, the modular-twisted product, that captures black hole scrambling exactly at the scrambling time and reduces to previously known free and tensor product algebras in the appropriate limits.

  6. Negative shocks versus static patch holography

    hep-th 2026-07 conditional novelty 6.0 of 10

    Out-of-time-order correlators along a de Sitter observer worldline, computed with the shockwave eikonal formalism including recoil and backreaction, violate the cyclicity and positivity required of a trace, falsifying...

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    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Black hole response theory in WQFT exactly reproduces the Aichelburg-Sexl shockwave metric, geodesics, and the transfer matrix for gravitational-wave scattering off it via post-Minkowskian resummation.

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    hep-th 2026-04 unverdicted novelty 5.0 of 10

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    Causality from Shapiro delay and UV species/perturbativity bounds force the dynamical Chern-Simons coupling to be tiny for macroscopic gravitational systems.

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    hep-th 2026-04 unverdicted novelty 5.0 of 10

    Dynamical Chern-Simons gravity is bounded by causality and perturbativity to produce only tiny corrections on macroscopic gravitational systems.

  12. QCD-Gravity double copy in Regge asymptotics: from $2\rightarrow n$ amplitudes to radiation in shockwave collisions

    hep-th 2025-07 accept novelty 3.0 of 10

    A lecture-note synthesis showing that the same Lipatov vertices and reggeized propagators govern multi-particle production in QCD and gravity, with double-copy, Weinberg soft, and shockwave limits all connected in one...

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