Constraints on quasinormal modes and bounds for critical points from pole-skipping

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dc.contributor.authorAbbasi, Navid
dc.contributor.authorKaminski, Matthias
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2022-08-02T15:11:24Z
dc.date.available2022-08-02T15:11:24Z
dc.date.issued2021
dc.description.abstractWe consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green’s function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-skipping points constraining its dispersion relation at imaginary momenta. Second, for the first time, we consider the radii of convergence of the derivative expansions about the gapped quasinormal modes. These convergence radii turn out to be bounded from above by the set of all pole-skipping points. Furthermore, a transition between two distinct classes of critical points occurs at a particular value for the conformal dimension, implying close relations between critical points and pole-skipping points in one of those two classes. We show numerically that all of our results are also true for gapped modes of vector and tensor operators.en_US
dc.format.mimetypeapplication/pdf
dc.identifier.citationAbbasi, N., & Kaminski, M. (2021). Constraints on quasinormal modes and bounds for critical points from pole-skipping. In Journal of High Energy Physics (Vol. 2021, Issue 3). Springer Science and Business Media LLC. https://doi.org/10.1007/jhep03(2021)265
dc.identifier.doi10.1007/JHEP03(2021)265
dc.identifier.urihttps://ir.ua.edu/handle/123456789/8675
dc.languageEnglish
dc.language.isoen_US
dc.rights.urihttps://creativecommons.org/licenses//by/4.0
dc.subjectHigh Energy Physics - Theory
dc.subjectcond-mat.mes-hall
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectNuclear Theory
dc.subjectGauge-gravity correspondence
dc.subjectHolography and condensed matter physics (AdS/CMT)
dc.titleConstraints on quasinormal modes and bounds for critical points from pole-skippingen_US
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