Holographic cameras: an eye for the bulk

Fuente: arXiv
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Autor principal: Caron-Huot, Simon
Formato: Preprint
Publicado: 2022
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author Caron-Huot, Simon
author_facet Caron-Huot, Simon
contents We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the geometry in which they move. For translation-invariant states, the bulk Einstein's equations amount to local differential equations on correlator data. In theories or states that are not holographic, images are too blurry to extract a bulk geometry. We verify this for gauge theories at various couplings and the 3D Ising model by adapting formulas from conformal Regge theory.
format Preprint
id arxiv_https___arxiv_org_abs_2211_11791
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Holographic cameras: an eye for the bulk
Caron-Huot, Simon
High Energy Physics - Theory
We consider four-point correlators in an excited quantum state of a field theory. We show that, when the theory and state are holographic, a judiciously applied Fourier transform produces high-quality images of point-like bulk particles, revealing the geometry in which they move. For translation-invariant states, the bulk Einstein's equations amount to local differential equations on correlator data. In theories or states that are not holographic, images are too blurry to extract a bulk geometry. We verify this for gauge theories at various couplings and the 3D Ising model by adapting formulas from conformal Regge theory.
title Holographic cameras: an eye for the bulk
topic High Energy Physics - Theory
url https://arxiv.org/abs/2211.11791