Reconstruction of the quasinormal spectrum from pole-skipping

Sašo Grozdanov*, Timotej Lemut, Juan F. Pedraza

*Corresponding author for this work

Research output: Contribution to journalLetterpeer-review

Abstract / Description of output

The holographic gauge/gravity duality provides an explicit reduction of quantum field theory (QFT) calculations in the semi-classical large-$N$ limit to sets of `gravitational' differential equations whose analysis can reveal all details of the spectra of thermal QFT correlators. We argue that in certain cases, a complete reconstruction of the spectrum and of the corresponding correlator is possible from only the knowledge of an infinite, discrete set of pole-skipping points traversed by a single (hydrodynamic) mode computed in a series expansion in an inverse number of spacetime dimensions. Conceptually, this reduces the computation of a QFT correlator spectrum to performing a set of purely algebraic manipulations. With the help of the pole-skipping analysis, we also uncover a novel structure underpinning the coefficients that enter the hydrodynamic dispersion relations.
Original languageEnglish
Article numberL101901
Pages (from-to)1-6
Number of pages6
JournalPhysical Review D
Issue number10
Early online date3 Nov 2023
Publication statusPublished - 15 Nov 2023

Keywords / Materials (for Non-textual outputs)

  • hep-th
  • gr-qc
  • math-ph
  • math.MP


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