Inverse problem of correlation functions in holography

Autor: Bo-Wen Fan, Run-Qiu Yang
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 10, Pp 1-15 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP10(2024)228
Popis: Abstract This paper shows that the bulk metric of a planar/spherically/hyperbolically symmetric asymptotically anti-de Sitter static black brane/hole can be reconstructed from its boundary frequency 2-point correlation functions of two probe scalar operators by solving Gel’fand-Levitan-Marchenko integral equation. Since the frequency correlation function is easily handled in experiments and theories, this paper not only proposes a new method to “measure” the corresponding holographic spacetime for a material that has holographic dual but also provides an approach to experimentally check if a system has holographic dual.
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