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arXiv · 2211.11791

Holographic cameras: an eye for the bulk

Simon Caron-Huot
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Abstract

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.

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Simon Caron-Huot. 2022-11-21. Holographic cameras: an eye for the bulk. https://doi.org/10.1007/jhep03(2023)047

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