Holographic cameras: an eye for the bulk
arXiv:2211.11791 · doi:10.1007/JHEP03(2023)047
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.
42 pages + 3 appendices, 10 figures, 1 "movie". v2: references added, typos fixed
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