Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix

Carlos Cardona

doi:10.1007/JHEP11(2019)044

Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix

Carlos Cardona

Niels Bohr International Academy

2 Citations (Scopus)

3 Downloads (Pure)

Abstract

The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate should be related to corresponding observables on the conformal field theory at the boundary. In this paper we use this interesting property to propose a map from flat space s-matrix to conformal correlation functions and try it on perturbative gravitational scattering. In particular, we show that the eikonal limit of gravitation scattering maps to a correlation function of the expected form at the bulk point singularity. We also compute the inverse map recovering a previous proposal in the literature.

Original language	English
Article number	044
Journal	Journal of High Energy Physics
Volume	2019
Issue number	11
Number of pages	20
ISSN	1029-8479
DOIs	https://doi.org/10.1007/JHEP11(2019)044
Publication status	Published - 1 Nov 2019

Keywords

1/N Expansion
AdS-CFT Correspondence
Conformal Field Theory
Scattering Amplitudes

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abstract = "The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate should be related to corresponding observables on the conformal field theory at the boundary. In this paper we use this interesting property to propose a map from flat space s-matrix to conformal correlation functions and try it on perturbative gravitational scattering. In particular, we show that the eikonal limit of gravitation scattering maps to a correlation function of the expected form at the bulk point singularity. We also compute the inverse map recovering a previous proposal in the literature.",

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AB - The bulk point singularity limit of conformal correlation functions in Lorentzian signature acts as a microscope to look into local bulk physics in AdS. From it we can extract flat space scattering processes localized in AdS that ultimate should be related to corresponding observables on the conformal field theory at the boundary. In this paper we use this interesting property to propose a map from flat space s-matrix to conformal correlation functions and try it on perturbative gravitational scattering. In particular, we show that the eikonal limit of gravitation scattering maps to a correlation function of the expected form at the bulk point singularity. We also compute the inverse map recovering a previous proposal in the literature.

KW - 1/N Expansion

KW - AdS-CFT Correspondence

KW - Conformal Field Theory

KW - Scattering Amplitudes

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Correlation functions at the bulk point singularity from the gravitational eikonal S-matrix

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