Long-range nonlocality in six-point string scattering: Simulation of black hole infallers

Matthew Dodelson and Eva Silverstein
Phys. Rev. D 96, 066009 – Published 14 September 2017

Abstract

We set up a tree-level six-point scattering process in which two strings are separated longitudinally such that they could only interact directly via a nonlocal spreading effect such as that predicted by light-cone gauge calculations and the Gross-Mende saddle point. One string, the “detector,” is produced at a finite time with energy E by an auxiliary 22 subprocess, with kinematics such that it has sufficient resolution to detect the longitudinal spreading of an additional incoming string, the “source.” We test this hypothesis in a gauge-invariant S-matrix calculation convolved with an appropriate wavepacket peaked at a separation X between the central trajectories of the source and produced detector. The amplitude exhibits support for scattering at the predicted longitudinal separation XαE, in sharp contrast to the analogous quantum field theory amplitude (whose support manifestly traces out a tail of the position-space wavefunction). The effect arises in a regime in which the string amplitude is not obtained as a convergent sum of such QFT amplitudes, and has larger amplitude than similar QFT models (with the same auxiliary four-point amplitude). In a linear dilaton background, the amplitude depends on the string coupling as expected if the scattering is not simply occurring on the wavepacket tail in string theory. This manifests the scale of longitudinal spreading in a gauge-invariant S-matrix amplitude, in a calculable process with significant amplitude. It simulates a key feature of the dynamics of time-translated horizon infallers.

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  • Received 17 May 2017

DOI:https://doi.org/10.1103/PhysRevD.96.066009

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsGravitation, Cosmology & Astrophysics

Authors & Affiliations

Matthew Dodelson1 and Eva Silverstein1,2

  • 1Stanford Institute for Theoretical Physics, Stanford University, Stanford, California 94306, USA
  • 2Kavli Institute for Particle Astrophysics and Cosmology, Stanford, California 94025, USA

See Also

String-theoretic breakdown of effective field theory near black hole horizons

Matthew Dodelson and Eva Silverstein
Phys. Rev. D 96, 066010 (2017)

Varying dilaton as a tracer of classical string interactions

Matthew Dodelson, Eva Silverstein, and Gonzalo Torroba
Phys. Rev. D 96, 066011 (2017)

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Vol. 96, Iss. 6 — 15 September 2017

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