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  • Letter
  • Open Access

Reconstruction of the quasinormal spectrum from pole skipping

Sašo Grozdanov1,2, Timotej Lemut2, and Juan F. Pedraza3

  • 1Higgs Centre for Theoretical Physics, University of Edinburgh, Edinburgh, EH8 9YL, Scotland
  • 2Faculty of Mathematics and Physics, University of Ljubljana, Jadranska ulica 19, SI-1000 Ljubljana, Slovenia
  • 3Instituto de Física Téorica UAM/CSIC, Calle Nicolás Cabrera 13-15, Madrid 28049, Spain

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Phys. Rev. D 108, L101901 – Published 3 November, 2023

DOI: https://doi.org/10.1103/PhysRevD.108.L101901

Abstract

The holographic gauge/gravity duality provides an explicit reduction of quantum field theory (QFT) calculations in the semiclassical 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.

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Phys. Rev. D 108, L101901– Published 3 November, 2023
  • Received 11 September 2023
  • Accepted 4 October 2023
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