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

Abbasi, Navid; Kaminski, Matthias

doi:10.1007/jhep03(2021)265

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

Abstract

We 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.

Authors:

Abbasi, Navid ^[1];

^[2]

Lanzhou Univ., Lanzhou (China). School of Nuclear Science and Technology
Univ. of Alabama, Tuscaloosa, AL (United States). Dept. of Physics and Astronomy

Publication Date:: Mon Mar 29 00:00:00 EDT 2021

Research Org.:: Univ. of Alabama, Tuscaloosa, AL (United States)

Sponsoring Org.:: USDOE Office of Science (SC); Lanzhou University

OSTI Identifier:: 1851625

Grant/Contract Number:: SC0012447; 561119208

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2021; Journal Issue: 3; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; physics; gauge-gravity correspondence; holography and condensed matter physics (AdS/CMT)

Citation Formats


                    Abbasi, Navid, and Kaminski, Matthias. Constraints on quasinormal modes and bounds for critical points from pole-skipping.  United States: N. p., 2021. 
Web.  doi:10.1007/jhep03(2021)265.

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                    Abbasi, Navid, & Kaminski, Matthias. Constraints on quasinormal modes and bounds for critical points from pole-skipping.  United States.  https://doi.org/10.1007/jhep03(2021)265

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                    Abbasi, Navid, and Kaminski, Matthias. Mon .  
"Constraints on quasinormal modes and bounds for critical points from pole-skipping".  United States.  https://doi.org/10.1007/jhep03(2021)265.  https://www.osti.gov/servlets/purl/1851625.

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@article{osti_1851625,

  title        = {Constraints on quasinormal modes and bounds for critical points from pole-skipping},

  author       = {Abbasi, Navid and Kaminski, Matthias},

  abstractNote = {We 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.},

  doi          = {10.1007/jhep03(2021)265},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 3,

  volume       = 2021,

  place        = {United States},

  year         = {Mon Mar 29 00:00:00 EDT 2021},

  month        = {Mon Mar 29 00:00:00 EDT 2021}

}

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

Abstract

Citation Formats

Quantum chaos in topologically massive gravity journal, December 2020

From AdS/CFT correspondence to hydrodynamics journal, September 2002

Hydrodynamic Gradient Expansion in Gauge Theory Plasmas journal, May 2013

Quasinormal modes of massive charged flavor branes journal, March 2010

A quantum hydrodynamical description for scrambling and many-body chaos journal, October 2018

AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory journal, June 2003

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications journal, September 2002

Stable and causal relativistic Navier-Stokes equations journal, June 2020

A bound on chaos journal, August 2016

Causality and stability conditions of a conformal charged fluid journal, August 2020

Classifying pole-skipping points journal, March 2021

Hydrodynamics and beyond in the strongly coupled 𝒩 = 4 plasma journal, July 2008

The complex life of hydrodynamic modes journal, November 2019

Near-extremal fluid mechanics journal, February 2021

Quasinormal modes in charged fluids at complex momentum journal, October 2020

Gauge gravity duality for d-wave superconductors: prospects and challenges journal, November 2010

On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections journal, January 2019

Generic instabilities in first-order dissipative relativistic fluid theories journal, February 1985

Real time dynamics from low point correlators in 2d BCFT journal, December 2019

Higher curvature corrections to pole-skipping journal, December 2019

Restrictions imposed by superconformal invariance on quantum field theories journal, January 1998

Anti de Sitter space and holography journal, January 1998

Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography journal, September 2020

Many-body chaos and energy dynamics in holography journal, October 2018

Causality and existence of solutions of relativistic viscous fluid dynamics with gravity journal, November 2018

Black Hole Scrambling from Hydrodynamics journal, June 2018

Fermionic operator mixing in holographic p-wave superfluids journal, May 2010

Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly journal, March 2020

Large N field theories, string theory and gravity journal, January 2000

Holographic quenches and anomalous transport journal, September 2016

Horizon constraints on holographic Green’s functions journal, January 2020

Short-lived modes from hydrodynamic dispersion relations journal, June 2018

Quasinormal modes of charged magnetic black branes & chiral magnetic transport journal, April 2017

First-order relativistic hydrodynamics is stable journal, October 2019

Scrambling in hyperbolic black holes: shock waves and pole-skipping journal, October 2019

Fermionic pole-skipping in holography journal, July 2020

Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential journal, October 2020

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids journal, December 2020

Nonlinear causality of general first-order relativistic viscous hydrodynamics journal, November 2019

Convergence of the Gradient Expansion in Hydrodynamics journal, June 2019

Holographic representation of bulk fields with spin in AdS/CFT text, January 2012

Holographic quenches and anomalous transport text, January 2016

Black hole scrambling from hydrodynamics text, January 2017

The complex life of hydrodynamic modes text, January 2019

Causality and Stability Conditions of a Conformal Charged Fluid preprint, January 2020

Quantum chaos in topologically massive gravity
journal, December 2020

From AdS/CFT correspondence to hydrodynamics
journal, September 2002

Hydrodynamic Gradient Expansion in Gauge Theory Plasmas
journal, May 2013

Quasinormal modes of massive charged flavor branes
journal, March 2010

A quantum hydrodynamical description for scrambling and many-body chaos
journal, October 2018

AdS/CFT correspondence, quasinormal modes, and thermal correlators in $N = 4$ supersymmetric Yang-Mills theory
journal, June 2003

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
journal, September 2002

Stable and causal relativistic Navier-Stokes equations
journal, June 2020

A bound on chaos
journal, August 2016

Causality and stability conditions of a conformal charged fluid
journal, August 2020

Classifying pole-skipping points
journal, March 2021

Hydrodynamics and beyond in the strongly coupled 𝒩 = 4 plasma
journal, July 2008

The complex life of hydrodynamic modes
journal, November 2019

Near-extremal fluid mechanics
journal, February 2021

Quasinormal modes in charged fluids at complex momentum
journal, October 2020

Gauge gravity duality for d-wave superconductors: prospects and challenges
journal, November 2010

On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections
journal, January 2019

Generic instabilities in first-order dissipative relativistic fluid theories
journal, February 1985

Real time dynamics from low point correlators in 2d BCFT
journal, December 2019

Higher curvature corrections to pole-skipping
journal, December 2019

Restrictions imposed by superconformal invariance on quantum field theories
journal, January 1998

Anti de Sitter space and holography
journal, January 1998

Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography
journal, September 2020

Many-body chaos and energy dynamics in holography
journal, October 2018

Causality and existence of solutions of relativistic viscous fluid dynamics with gravity
journal, November 2018

Black Hole Scrambling from Hydrodynamics
journal, June 2018

Fermionic operator mixing in holographic p-wave superfluids
journal, May 2010

Quantum chaos, pole-skipping and hydrodynamics in a holographic system with chiral anomaly
journal, March 2020

Large N field theories, string theory and gravity
journal, January 2000

Holographic quenches and anomalous transport
journal, September 2016

Horizon constraints on holographic Green’s functions
journal, January 2020

Short-lived modes from hydrodynamic dispersion relations
journal, June 2018

Quasinormal modes of charged magnetic black branes & chiral magnetic transport
journal, April 2017

First-order relativistic hydrodynamics is stable
journal, October 2019

Scrambling in hyperbolic black holes: shock waves and pole-skipping
journal, October 2019

Fermionic pole-skipping in holography
journal, July 2020

Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential
journal, October 2020

Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
journal, December 2020

Nonlinear causality of general first-order relativistic viscous hydrodynamics
journal, November 2019

Convergence of the Gradient Expansion in Hydrodynamics
journal, June 2019

Holographic representation of bulk fields with spin in AdS/CFT
text, January 2012

Holographic quenches and anomalous transport
text, January 2016

Black hole scrambling from hydrodynamics
text, January 2017

The complex life of hydrodynamic modes
text, January 2019

Causality and Stability Conditions of a Conformal Charged Fluid
preprint, January 2020