Pole-skipping in a large number of spacetime dimensions and the reconstruction of QFT spectra

Abstract: The holographic 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. I will discuss how, 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 (a “0/0” in the associated correlation function) traversed by a single (hydrodynamic) mode. The main step that will enable a unique reconstruction will be a series expansion of the problem in an inverse number of spacetime dimensions, expanded around infinity. Conceptually, this reduces the computation of a QFT correlator spectrum to performing a set of purely algebraic manipulations.

general relativity and quantum cosmologyHEP - experimentHEP - latticeHEP - phenomenologyHEP - theory

Audience: researchers in the topic

( slides )

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