On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

Grozdanov, Sašo

doi:10.1007/jhep01(2019)048

Title: On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

Abstract

Pole-skipping is a recently discovered signature of many-body quantum chaos in collective energy dynamics. It establishes a precise connection between resummed, all-order hydrodynamics and the underlying microscopic chaos. In this paper, we demonstrate the existence of pole-skipping in holographic conformal field theories with higher-derivative gravity duals. In particular, we first consider Einstein-Hilbert gravity deformed by curvature-squared (R²) corrections and then type IIB supergravity theory with the α^{' 3}R⁴ term, where α^' is set by the length of the fundamental string. The former case allows us to discuss the effects of leading-order 1/N_c corrections (with N_c being the number of colours of the dual gauge group) and phenomenological coupling constant dependence. In Einstein-Gauss-Bonnet theory, pole-skipping turns out to be valid non-perturbatively in the Gauss-Bonnet coupling. The α^{' 3}R⁴ deformation enables us to study perturbative inverse ’t Hooft coupling corrections (α^{' 3} ~ 1/λ^3/2) in SU(N_c), $ \mathcal{N}=4 $ supersymmetric Yang-Mills theory with infinite N_c. While the maximal Lyapunov exponent characterising quantum chaos remains uncorrected, the butterfly velocity is shown to depend both on N_c and the coupling. Several implications of the relation between hydrodynamics and chaos are discussed, including an intriguing similarity between the dependence of the butterfly velocity and themore »« less

Authors:

Grozdanov, Sašo ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Publication Date:: Fri Jan 04 00:00:00 EST 2019

Research Org.:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1611565

Grant/Contract Number:: SC0011090

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: 2019; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Grozdanov, Sašo. On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep01(2019)048.

Copy to clipboard


                    Grozdanov, Sašo. On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections.  United States.  https://doi.org/10.1007/jhep01(2019)048

Copy to clipboard


                    Grozdanov, Sašo. Fri .  
"On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections".  United States.  https://doi.org/10.1007/jhep01(2019)048.  https://www.osti.gov/servlets/purl/1611565.

Copy to clipboard


                    
@article{osti_1611565,

  title        = {On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections},

  author       = {Grozdanov, Sašo},

  abstractNote = {Pole-skipping is a recently discovered signature of many-body quantum chaos in collective energy dynamics. It establishes a precise connection between resummed, all-order hydrodynamics and the underlying microscopic chaos. In this paper, we demonstrate the existence of pole-skipping in holographic conformal field theories with higher-derivative gravity duals. In particular, we first consider Einstein-Hilbert gravity deformed by curvature-squared (R2) corrections and then type IIB supergravity theory with the α' 3R4 term, where α' is set by the length of the fundamental string. The former case allows us to discuss the effects of leading-order 1/Nc corrections (with Nc being the number of colours of the dual gauge group) and phenomenological coupling constant dependence. In Einstein-Gauss-Bonnet theory, pole-skipping turns out to be valid non-perturbatively in the Gauss-Bonnet coupling. The α' 3R4 deformation enables us to study perturbative inverse ’t Hooft coupling corrections (α' 3 ~ 1/λ3/2) in SU(Nc), \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory with infinite Nc. While the maximal Lyapunov exponent characterising quantum chaos remains uncorrected, the butterfly velocity is shown to depend both on Nc and the coupling. Several implications of the relation between hydrodynamics and chaos are discussed, including an intriguing similarity between the dependence of the butterfly velocity and the ratio of shear viscosity to entropy density on stringy corrections.},

  doi          = {10.1007/jhep01(2019)048},

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

  number       = 1,

  volume       = 2019,

  place        = {United States},

  year         = {Fri Jan 04 00:00:00 EST 2019},

  month        = {Fri Jan 04 00:00:00 EST 2019}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/jhep01(2019)048

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 49 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Finite coupling corrections to holographic predictions for hot QCD
journal, November 2015

Waeber, Sebastian; Schäfer, Andreas; Vuorinen, Aleksi
Journal of High Energy Physics, Vol. 2015, Issue 11
DOI: 10.1007/JHEP11(2015)087

An elementary stringy estimate of transport coefficients of large temperature QCD
journal, August 2010

Bigazzi, Francesco; Cotrone, Aldo L.
Journal of High Energy Physics, Vol. 2010, Issue 8
DOI: 10.1007/JHEP08(2010)128

Holographic isotropisation in Gauss-Bonnet gravity
journal, February 2017

Andrade, Tomás; Casalderrey-Solana, Jorge; Ficnar, Andrej
Journal of High Energy Physics, Vol. 2017, Issue 2
DOI: 10.1007/JHEP02(2017)016

Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
journal, March 2005

Kovtun, P. K.; Son, D. T.; Starinets, A. O.
Physical Review Letters, Vol. 94, Issue 11
DOI: 10.1103/PhysRevLett.94.111601

From AdS/CFT correspondence to hydrodynamics
journal, September 2002

Policastro, Giuseppe; Son, Dam T.; Starinets, Andrei O.
Journal of High Energy Physics, Vol. 2002, Issue 09
DOI: 10.1088/1126-6708/2002/09/043

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

Blake, Mike; Lee, Hyunseok; Liu, Hong
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)127

A bound on chaos
journal, August 2016

Maldacena, Juan; Shenker, Stephen H.; Stanford, Douglas
Journal of High Energy Physics, Vol. 2016, Issue 8
DOI: 10.1007/JHEP08(2016)106

Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
journal, March 2017

Grozdanov, Sašo; Starinets, Andrei O.
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/JHEP03(2017)166

Universality of anomalous conductivities in theories with higher-derivative holographic duals
journal, September 2016

Grozdanov, S.; Poovuttikul, N.
Journal of High Energy Physics, Vol. 2016, Issue 9
DOI: 10.1007/JHEP09(2016)046

Holographic constraints on Bjorken hydrodynamics at finite coupling
journal, October 2017

DiNunno, Brandon S.; Grozdanov, Sašo; Pedraza, Juan F.
Journal of High Energy Physics, Vol. 2017, Issue 10
DOI: 10.1007/JHEP10(2017)110

Universality of the Shear Viscosity from Supergravity Duals
journal, August 2004

Buchel, Alex; Liu, James T.
Physical Review Letters, Vol. 93, Issue 9
DOI: 10.1103/PhysRevLett.93.090602

Black hole determinants and quasinormal modes
journal, April 2010

Denef, Frederik; Hartnoll, Sean A.; Sachdev, Subir
Classical and Quantum Gravity, Vol. 27, Issue 12
DOI: 10.1088/0264-9381/27/12/125001

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Maldacena, Juan
International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133
DOI: 10.1023/A:1026654312961

Holography and hydrodynamics: diffusion on stretched horizons
journal, October 2003

Kovtun, Pavel; Son, Dam T.; Starinets, Andrei O.
Journal of High Energy Physics, Vol. 2003, Issue 10
DOI: 10.1088/1126-6708/2003/10/064

Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation
journal, March 2010

Cremonini, Sera; Liu, James T.; Szepietowski, Phillip
Journal of High Energy Physics, Vol. 2010, Issue 3
DOI: 10.1007/JHEP03(2010)042

Stringy effects in scrambling
journal, May 2015

Shenker, Stephen H.; Stanford, Douglas
Journal of High Energy Physics, Vol. 2015, Issue 5
DOI: 10.1007/JHEP05(2015)132

Theory of universal incoherent metallic transport
journal, December 2014

Hartnoll, Sean A.
Nature Physics, Vol. 11, Issue 1
DOI: 10.1038/nphys3174

Universality of second order transport in Gauss-Bonnet gravity
journal, April 2013

Shaverin, Evgeny; Yarom, Amos
Journal of High Energy Physics, Vol. 2013, Issue 4
DOI: 10.1007/JHEP04(2013)013

Second-order hydrodynamics and universality in non-conformal holographic fluids
journal, December 2016

Kleinert, Philipp; Probst, Jonas
Journal of High Energy Physics, Vol. 2016, Issue 12
DOI: 10.1007/JHEP12(2016)091

Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
journal, January 2009

Kats, Yevgeny; Petrov, Pavel
Journal of High Energy Physics, Vol. 2009, Issue 01
DOI: 10.1088/1126-6708/2009/01/044

On entanglement spreading in chaotic systems
journal, May 2017

Mezei, Márk; Stanford, Douglas
Journal of High Energy Physics, Vol. 2017, Issue 5
DOI: 10.1007/JHEP05(2017)065

Viscosity, Black Holes, and Quantum Field Theory
journal, November 2007

Son, Dam T.; Starinets, Andrei O.
Annual Review of Nuclear and Particle Science, Vol. 57, Issue 1
DOI: 10.1146/annurev.nucl.57.090506.123120

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

Blake, Mike; Davison, Richard A.; Grozdanov, Sašo
Journal of High Energy Physics, Vol. 2018, Issue 10
DOI: 10.1007/JHEP10(2018)035

Black Hole Scrambling from Hydrodynamics
journal, June 2018

Grozdanov, Sašo; Schalm, Koenraad; Scopelliti, Vincenzo
Physical Review Letters, Vol. 120, Issue 23
DOI: 10.1103/PhysRevLett.120.231601

Holographic hydrodynamics with a chemical potential
journal, June 2009

Myers, Robert C.; Paulos, Miguel F.; Sinha, Aninda
Journal of High Energy Physics, Vol. 2009, Issue 06
DOI: 10.1088/1126-6708/2009/06/006

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
Journal of High Energy Physics, Vol. 2016, Issue 2
DOI: 10.1007/JHEP02(2016)020

Localized shocks
journal, March 2015

Roberts, Daniel A.; Stanford, Douglas; Susskind, Leonard
Journal of High Energy Physics, Vol. 2015, Issue 3
DOI: 10.1007/JHEP03(2015)051

Many-body chaos at weak coupling
journal, October 2016

Stanford, Douglas
Journal of High Energy Physics, Vol. 2016, Issue 10
DOI: 10.1007/JHEP10(2016)009

On butterfly effect in higher derivative gravities
journal, November 2016

Alishahiha, Mohsen; Davody, Ali; Naseh, Ali
Journal of High Energy Physics, Vol. 2016, Issue 11
DOI: 10.1007/JHEP11(2016)032

Butterfly effect in 3D gravity
journal, November 2017

Qaemmaqami, Mohammad M.
Physical Review D, Vol. 96, Issue 10
DOI: 10.1103/PhysRevD.96.106012

The Shear Viscosity to Entropy Ratio: a Status Report
journal, September 2011

Cremonini, Sera
Modern Physics Letters B, Vol. 25, Issue 23
DOI: 10.1142/S0217984911027315

From strong to weak coupling in holographic models of thermalization
journal, July 2016

Grozdanov, Sašo; Kaplis, Nikolaos; Starinets, Andrei O.
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)151

Horizon universality and anomalous conductivities
journal, October 2015

Gürsoy, Umut; Tarrío, Javier
Journal of High Energy Physics, Vol. 2015, Issue 10
DOI: 10.1007/JHEP10(2015)058

Computing black hole partition functions from quasinormal modes
journal, July 2016

Arnold, Peter; Szepietowski, Phillip; Vaman, Diana
Journal of High Energy Physics, Vol. 2016, Issue 7
DOI: 10.1007/JHEP07(2016)032

Constructing higher-order hydrodynamics: The third order
journal, March 2016

Grozdanov, Sašo; Kaplis, Nikolaos
Physical Review D, Vol. 93, Issue 6
DOI: 10.1103/PhysRevD.93.066012

Shear Viscosity of Strongly Coupled $N = 4$ Supersymmetric Yang-Mills Plasma
journal, August 2001

Policastro, G.; Son, D. T.; Starinets, A. O.
Physical Review Letters, Vol. 87, Issue 8
DOI: 10.1103/PhysRevLett.87.081601

Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
journal, January 2009

Iqbal, Nabil; Liu, Hong
Physical Review D, Vol. 79, Issue 2
DOI: 10.1103/PhysRevD.79.025023

Quasinormal spectrum and the black hole membrane paradigm
journal, January 2009

Starinets, Andrei
Physics Letters B, Vol. 670, Issue 4-5
DOI: 10.1016/j.physletb.2008.11.028

Coupling constant dependence of the shear viscosity in supersymmetric Yang–Mills theory
journal, February 2005

Buchel, Alex; Liu, James T.; Starinets, Andrei O.
Nuclear Physics B, Vol. 707, Issue 1-2
DOI: 10.1016/j.nuclphysb.2004.11.055

Resolving disagreement for in a CFT plasma at finite coupling
journal, November 2008

Buchel, Alex
Nuclear Physics B, Vol. 803, Issue 1-2
DOI: 10.1016/j.nuclphysb.2008.05.024

Universality of second order transport coefficients from the gauge–string duality
journal, May 2009

Haack, Michael; Yarom, Amos
Nuclear Physics B, Vol. 813, Issue 1-2
DOI: 10.1016/j.nuclphysb.2008.12.028

Zero-viscosity limit in a holographic Gauss-Bonnet liquid
journal, January 2015

Grozdanov, S.; Starinets, A. O.
Theoretical and Mathematical Physics, Vol. 182, Issue 1
DOI: 10.1007/s11232-015-0245-7

All order linearized hydrodynamics from fluid-gravity correspondence
journal, October 2014

Bu, Yanyan; Lublinsky, Michael
Physical Review D, Vol. 90, Issue 8
DOI: 10.1103/PhysRevD.90.086003

Universal diffusion in incoherent black holes
journal, October 2016

Blake, Mike
Physical Review D, Vol. 94, Issue 8
DOI: 10.1103/PhysRevD.94.086014

Thermal diffusivity and chaos in metals without quasiparticles
journal, November 2017

Blake, Mike; Davison, Richard A.; Sachdev, Subir
Physical Review D, Vol. 96, Issue 10
DOI: 10.1103/PhysRevD.96.106008

Viscosity bound violation in higher derivative gravity
journal, June 2008

Brigante, Mauro; Liu, Hong; Myers, Robert C.
Physical Review D, Vol. 77, Issue 12
DOI: 10.1103/PhysRevD.77.126006

Beyond η/ s = 1/4π
journal, March 2009

Buchel, Alex; Myers, Robert C.; Sinha, Aninda
Journal of High Energy Physics, Vol. 2009, Issue 03
DOI: 10.1088/1126-6708/2009/03/084

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions
journal, July 2017

Grozdanov, Sašo; van der Schee, Wilke
Physical Review Letters, Vol. 119, Issue 1
DOI: 10.1103/PhysRevLett.119.011601

Linearized holographic isotropization at finite coupling
journal, June 2017

Atashi, Mahdi; Fadafan, Kazem Bitaghsir; Jafari, Ghadir
The European Physical Journal C, Vol. 77, Issue 6
DOI: 10.1140/epjc/s10052-017-4995-2

The large N limit of Script N = 2,1 field theories from threebranes in F-theory
journal, July 1998

Aharony, Ofer; Fayyazuddin, Ansar; Maldacena, Juan
Journal of High Energy Physics, Vol. 1998, Issue 07
DOI: 10.1088/1126-6708/1998/07/013

Quantum oscillations and black hole ringing
journal, December 2009

Denef, Frederik; Hartnoll, Sean A.; Sachdev, Subir
Physical Review D, Vol. 80, Issue 12
DOI: 10.1103/PhysRevD.80.126016

The spectrum of IIB supergravity on AdS5 × S 5 / $ {{\mathbb{Z}}_3} $ and a 1/N 2 test of AdS/CFT
journal, June 2013

Ardehali, Arash Arabi; Liu, James T.; Szepietowski, Phillip
Journal of High Energy Physics, Vol. 2013, Issue 6
DOI: 10.1007/JHEP06(2013)024

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory
journal, November 1998

Gubser, Steven S.; Klebanov, Igor R.; Tseytlin, Arkady A.
Nuclear Physics B, Vol. 534, Issue 1-2
DOI: 10.1016/S0550-3213(98)00514-8

AdS ₅ × S ⁵ black hole metric at Script O(α′ ³ )
journal, September 1998

Pawelczyk, Jacek; Theisen, Stefan
Journal of High Energy Physics, Vol. 1998, Issue 09
DOI: 10.1088/1126-6708/1998/09/010

Weak quantum chaos
journal, August 2017

Kukuljan, Ivan; Grozdanov, Sašo; Prosen, Tomaž
Physical Review B, Vol. 96, Issue 6
DOI: 10.1103/PhysRevB.96.060301

Transport Peak in the Thermal Spectral Function of $N = 4$ Supersymmetric Yang-Mills Plasma at Intermediate Coupling
journal, November 2018

Casalderrey-Solana, Jorge; Grozdanov, Sašo; Starinets, Andrei O.
Physical Review Letters, Vol. 121, Issue 19
DOI: 10.1103/PhysRevLett.121.191603

Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos
journal, October 2018

Khemani, Vedika; Huse, David A.; Nahum, Adam
Physical Review B, Vol. 98, Issue 14
DOI: 10.1103/PhysRevB.98.144304

Higher derivative effects on $η / s$ at finite chemical potential
journal, July 2009

Cremonini, Sera; Hanaki, Kentaro; Liu, James T.
Physical Review D, Vol. 80, Issue 2
DOI: 10.1103/PhysRevD.80.025002

Strongly coupled electron fluids in the Poiseuille regime
journal, November 2018

Erdmenger, Johanna; Matthaiakakis, Ioannis; Meyer, René
Physical Review B, Vol. 98, Issue 19
DOI: 10.1103/PhysRevB.98.195143

Universal Charge Diffusion and the Butterfly Effect in Holographic Theories
journal, August 2016

Blake, Mike
Physical Review Letters, Vol. 117, Issue 9
DOI: 10.1103/PhysRevLett.117.091601

All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
text, January 2014

Bu, Yanyan; Lublinsky, Michael
arXiv
DOI: 10.48550/arxiv.1406.7222

From strong to weak coupling in holographic models of thermalization
text, January 2016

Grozdanov, Sašo; Kaplis, Nikolaos; Starinets, Andrei O.
arXiv
DOI: 10.48550/arxiv.1605.02173

Works referencing / citing this record:

Pole skipping with finite-coupling corrections
journal, December 2019

Natsuume, Makoto; Okamura, Takashi
Physical Review D, Vol. 100, Issue 12
DOI: 10.1103/physrevd.100.126012

Recent Developments in the Holographic Description of Quantum Chaos
journal, March 2019

Jahnke, Viktor
Advances in High Energy Physics, Vol. 2019
DOI: 10.1155/2019/9632708

Stringy effects and the role of the singularity in holographic complexity
journal, September 2019

Nally, Richard
Journal of High Energy Physics, Vol. 2019, Issue 9
DOI: 10.1007/jhep09(2019)094

Pole skipping and chaos in anisotropic plasma: a holographic study
journal, March 2021

Sil, Karunava
Journal of High Energy Physics, Vol. 2021, Issue 3
DOI: 10.1007/jhep03(2021)232

Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena
journal, April 2021

Lee, Kyung-Sun; Nishida, Mitsuhiro; Kim, Keun-Young
Journal of High Energy Physics, Vol. 2021, Issue 4
DOI: 10.1007/jhep04(2021)092

Exact four point function for large q SYK from Regge theory
journal, May 2021

Choi, Changha; Mezei, Márk; Sárosi, Gábor
Journal of High Energy Physics, Vol. 2021, Issue 5
DOI: 10.1007/jhep05(2021)166

Pole skipping and zero temperature
journal, March 2021

Natsuume, Makoto; Okamura, Takashi
Physical Review D, Vol. 103, Issue 6
DOI: 10.1103/physrevd.103.066017

Recent Developments in the Holographic Description of Quantum Chaos
journal, March 2019

Jahnke, Viktor
Advances in High Energy Physics, Vol. 2019
DOI: 10.1155/2019/9632708

Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
text, January 2019

Haehl, Felix M.; Reeves, Wyatt; Rozali, Moshe
arXiv
DOI: 10.48550/arxiv.1909.05847

Pole-skipping with finite-coupling corrections
text, January 2019

Natsuume, Makoto; Okamura, Takashi
arXiv
DOI: 10.48550/arxiv.1909.09168

Isolated zeros destroy Fermi surface in holographic models with a lattice
text, January 2019

Balm, Floris; Krikun, Alexander; Romero-Bermúdez, Aurelio
arXiv
DOI: 10.48550/arxiv.1909.09394

Similar Records in DOE PAGES and OSTI.GOV collections:

Many-body chaos and energy dynamics in holography

Journal Article Blake, Mike ; Davison, Richard A. ; Grozdanov, Sašo ; ... - Journal of High Energy Physics (Online)

Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping, concerns the analytic behaviour of energy density two-point functions around a special point ω = iλ, k = iλ/v_B in the complex frequency and momentum plane. Here λ and v_B are the Lyapunov exponent and butterfly velocity characterising quantum chaos. In this paper we provide an argument that the phenomenon of pole-skipping is universal for general finite temperature systems dual tomore »« less
Cited by 82
https://doi.org/10.1007/jhep10(2018)035

Full Text Available
Spacetime structure of static solutions in Gauss-Bonnet gravity: Neutral case

Journal Article Torii, Takashi ; Advanced Research Institute for Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169-8555 ; Maeda, Hideki - Physical Review. D, Particles Fields

We study the spacetime structures of the static solutions in the n-dimensional Einstein-Gauss-Bonnet-{lambda} system systematically. We assume the Gauss-Bonnet coefficient {alpha} is non-negative and a cosmological constant is either positive, zero, or negative. The solutions have the (n-2)-dimensional Euclidean submanifold, which is the Einstein manifold with the curvature k=1, 0, and -1. We also assume 4{alpha}-tilde/l{sup 2}{<=}1, where l is the curvature radius, in order for the sourceless solution (M=0) to be defined. The general solutions are classified into plus and minus branches. The structures of the center, horizons, infinity, and the singular point depend on the parameters {alpha}, l{supmore »« less
https://doi.org/10.1103/PhysRevD.71.124002
Shear viscosity from effective couplings of gravitons

Journal Article Ronggen, Cai ; Zhangyu, Nie ; Yawen, Sun ; ... - Physical Review. D, Particles Fields

We calculate the shear viscosity of field theories with gravity duals using Kubo formula by calculating the Green function of dual transverse gravitons and confirm that the value of the shear viscosity is fully determined by the effective coupling of transverse gravitons on the horizon. We calculate the effective coupling of transverse gravitons for Einstein and Gauss-Bonnet gravities coupled with matter fields, respectively. Then we apply the resulting formula to the case of AdS Gauss-Bonnet gravity with F{sup 4} term corrections of Maxwell field and discuss the effect of F{sup 4} terms on the ratio of the shear viscosity tomore » entropy density.« less
https://doi.org/10.1103/PHYSREVD.78.126007
Evanescent Effects can Alter Ultraviolet Divergences in Quantum Gravity without Physical Consequences

Journal Article Bern, Zvi ; Cheung, Clifford ; Chi, Huan-Hang ; ... - Physical Review Letters

Evanescent operators such as the Gauss-Bonnet term have vanishing perturbative matrix elements in exactly D = 4 dimensions. Similarly, evanescent fields do not propagate in D = 4; a three-form field is in this class, since it is dual to a cosmological-constant contribution. In this Letter, we show that evanescent operators and fields modify the leading ultraviolet divergence in pure gravity. To analyze the divergence, we compute the two-loop identical-helicity four-graviton amplitude and determine the coefficient of the associated (nonevanescent) R³ counterterm studied long ago by Goroff and Sagnotti. We compare two pairs of theories that are dual in Dmore »« less
Cited by 55
https://doi.org/10.1103/PhysRevLett.115.211301
Do stringy corrections stabilize colored black holes?

Journal Article Kanti, P ; Winstanley, E - Physical Review. D, Particles Fields

We consider hairy black hole solutions of Einstein-Yang-Mills-dilaton theory, coupled to a Gauss-Bonnet curvature term, and we study their stability under small, spacetime-dependent perturbations. We demonstrate that stringy corrections do not remove the sphaleronic instabilities of colored black holes with the number of unstable modes being equal to the number of nodes of the background gauge function. In the gravitational sector and in the limit of an infinitely large horizon, colored black holes are also found to be unstable. Similar behavior is exhibited by magnetically charged black holes while the bulk of neutral black holes are proved to be stablemore »« less
https://doi.org/10.1103/PhysRevD.61.084032

Similar Records

Title: On the connection between hydrodynamics and quantum chaos in holographic theories with stringy corrections

Abstract

Citation Formats

Finite coupling corrections to holographic predictions for hot QCD journal, November 2015

An elementary stringy estimate of transport coefficients of large temperature QCD journal, August 2010

Holographic isotropisation in Gauss-Bonnet gravity journal, February 2017

Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics journal, March 2005

From AdS/CFT correspondence to hydrodynamics journal, September 2002

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

A bound on chaos journal, August 2016

Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid journal, March 2017

Universality of anomalous conductivities in theories with higher-derivative holographic duals journal, September 2016

Holographic constraints on Bjorken hydrodynamics at finite coupling journal, October 2017

Universality of the Shear Viscosity from Supergravity Duals journal, August 2004

Black hole determinants and quasinormal modes journal, April 2010

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

Holography and hydrodynamics: diffusion on stretched horizons journal, October 2003

Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation journal, March 2010

Stringy effects in scrambling journal, May 2015

Theory of universal incoherent metallic transport journal, December 2014

Universality of second order transport in Gauss-Bonnet gravity journal, April 2013

Second-order hydrodynamics and universality in non-conformal holographic fluids journal, December 2016

Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory journal, January 2009

On entanglement spreading in chaotic systems journal, May 2017

Viscosity, Black Holes, and Quantum Field Theory journal, November 2007

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

Black Hole Scrambling from Hydrodynamics journal, June 2018

Holographic hydrodynamics with a chemical potential journal, June 2009

Causality constraints on corrections to the graviton three-point coupling journal, February 2016

Localized shocks journal, March 2015

Many-body chaos at weak coupling journal, October 2016

On butterfly effect in higher derivative gravities journal, November 2016

Butterfly effect in 3D gravity journal, November 2017

The Shear Viscosity to Entropy Ratio: a Status Report journal, September 2011

From strong to weak coupling in holographic models of thermalization journal, July 2016

Horizon universality and anomalous conductivities journal, October 2015

Computing black hole partition functions from quasinormal modes journal, July 2016

Constructing higher-order hydrodynamics: The third order journal, March 2016

Shear Viscosity of Strongly Coupled N = 4 Supersymmetric Yang-Mills Plasma journal, August 2001

Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm journal, January 2009

Quasinormal spectrum and the black hole membrane paradigm journal, January 2009

Coupling constant dependence of the shear viscosity in supersymmetric Yang–Mills theory journal, February 2005

Resolving disagreement for in a CFT plasma at finite coupling journal, November 2008

Universality of second order transport coefficients from the gauge–string duality journal, May 2009

Zero-viscosity limit in a holographic Gauss-Bonnet liquid journal, January 2015

All order linearized hydrodynamics from fluid-gravity correspondence journal, October 2014

Universal diffusion in incoherent black holes journal, October 2016

Thermal diffusivity and chaos in metals without quasiparticles journal, November 2017

Viscosity bound violation in higher derivative gravity journal, June 2008

Beyond η/ s = 1/4π journal, March 2009

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions journal, July 2017

Linearized holographic isotropization at finite coupling journal, June 2017

The large N limit of Script N = 2,1 field theories from threebranes in F-theory journal, July 1998

Quantum oscillations and black hole ringing journal, December 2009

The spectrum of IIB supergravity on AdS5 × S 5 / $ {{\mathbb{Z}}_3} $ and a 1/N 2 test of AdS/CFT journal, June 2013

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory journal, November 1998

AdS 5 × S 5 black hole metric at Script O(α′ 3 ) journal, September 1998

Weak quantum chaos journal, August 2017

Transport Peak in the Thermal Spectral Function of N = 4 Supersymmetric Yang-Mills Plasma at Intermediate Coupling journal, November 2018

Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos journal, October 2018

Higher derivative effects on η / s at finite chemical potential journal, July 2009

Strongly coupled electron fluids in the Poiseuille regime journal, November 2018

Universal Charge Diffusion and the Butterfly Effect in Holographic Theories journal, August 2016

All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence text, January 2014

From strong to weak coupling in holographic models of thermalization text, January 2016

Pole skipping with finite-coupling corrections journal, December 2019

Recent Developments in the Holographic Description of Quantum Chaos journal, March 2019

Stringy effects and the role of the singularity in holographic complexity journal, September 2019

Pole skipping and chaos in anisotropic plasma: a holographic study journal, March 2021

Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena journal, April 2021

Exact four point function for large q SYK from Regge theory journal, May 2021

Pole skipping and zero temperature journal, March 2021

Recent Developments in the Holographic Description of Quantum Chaos journal, March 2019

Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs text, January 2019

Pole-skipping with finite-coupling corrections text, January 2019

Isolated zeros destroy Fermi surface in holographic models with a lattice text, January 2019

Finite coupling corrections to holographic predictions for hot QCD
journal, November 2015

An elementary stringy estimate of transport coefficients of large temperature QCD
journal, August 2010

Holographic isotropisation in Gauss-Bonnet gravity
journal, February 2017

Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
journal, March 2005

From AdS/CFT correspondence to hydrodynamics
journal, September 2002

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

A bound on chaos
journal, August 2016

Second-order transport, quasinormal modes and zero-viscosity limit in the Gauss-Bonnet holographic fluid
journal, March 2017

Universality of anomalous conductivities in theories with higher-derivative holographic duals
journal, September 2016

Holographic constraints on Bjorken hydrodynamics at finite coupling
journal, October 2017

Universality of the Shear Viscosity from Supergravity Duals
journal, August 2004

Black hole determinants and quasinormal modes
journal, April 2010

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

Holography and hydrodynamics: diffusion on stretched horizons
journal, October 2003

Higher derivative corrections to R-charged black holes: boundary counterterms and the mass-charge relation
journal, March 2010

Stringy effects in scrambling
journal, May 2015

Theory of universal incoherent metallic transport
journal, December 2014

Universality of second order transport in Gauss-Bonnet gravity
journal, April 2013

Second-order hydrodynamics and universality in non-conformal holographic fluids
journal, December 2016

Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
journal, January 2009

On entanglement spreading in chaotic systems
journal, May 2017

Viscosity, Black Holes, and Quantum Field Theory
journal, November 2007

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

Black Hole Scrambling from Hydrodynamics
journal, June 2018

Holographic hydrodynamics with a chemical potential
journal, June 2009

Causality constraints on corrections to the graviton three-point coupling
journal, February 2016

Localized shocks
journal, March 2015

Many-body chaos at weak coupling
journal, October 2016

On butterfly effect in higher derivative gravities
journal, November 2016

Butterfly effect in 3D gravity
journal, November 2017

The Shear Viscosity to Entropy Ratio: a Status Report
journal, September 2011

From strong to weak coupling in holographic models of thermalization
journal, July 2016

Horizon universality and anomalous conductivities
journal, October 2015

Computing black hole partition functions from quasinormal modes
journal, July 2016

Constructing higher-order hydrodynamics: The third order
journal, March 2016

Shear Viscosity of Strongly Coupled $N = 4$ Supersymmetric Yang-Mills Plasma
journal, August 2001

Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
journal, January 2009

Quasinormal spectrum and the black hole membrane paradigm
journal, January 2009

Coupling constant dependence of the shear viscosity in supersymmetric Yang–Mills theory
journal, February 2005

Resolving disagreement for in a CFT plasma at finite coupling
journal, November 2008

Universality of second order transport coefficients from the gauge–string duality
journal, May 2009

Zero-viscosity limit in a holographic Gauss-Bonnet liquid
journal, January 2015

All order linearized hydrodynamics from fluid-gravity correspondence
journal, October 2014

Universal diffusion in incoherent black holes
journal, October 2016

Thermal diffusivity and chaos in metals without quasiparticles
journal, November 2017

Viscosity bound violation in higher derivative gravity
journal, June 2008

Beyond η/ s = 1/4π
journal, March 2009

Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions
journal, July 2017

Linearized holographic isotropization at finite coupling
journal, June 2017

The large N limit of Script N = 2,1 field theories from threebranes in F-theory
journal, July 1998

Quantum oscillations and black hole ringing
journal, December 2009

The spectrum of IIB supergravity on AdS5 × S 5 / $ {{\mathbb{Z}}_3} $ and a 1/N 2 test of AdS/CFT
journal, June 2013

Coupling constant dependence in the thermodynamics of N = 4 supersymmetric Yang-Mills theory
journal, November 1998

AdS ₅ × S ⁵ black hole metric at Script O(α′ ³ )
journal, September 1998

Weak quantum chaos
journal, August 2017

Transport Peak in the Thermal Spectral Function of $N = 4$ Supersymmetric Yang-Mills Plasma at Intermediate Coupling
journal, November 2018

Velocity-dependent Lyapunov exponents in many-body quantum, semiclassical, and classical chaos
journal, October 2018

Higher derivative effects on $η / s$ at finite chemical potential
journal, July 2009

Strongly coupled electron fluids in the Poiseuille regime
journal, November 2018

Universal Charge Diffusion and the Butterfly Effect in Holographic Theories
journal, August 2016

All Order Linearized Hydrodynamics from Fluid/Gravity Correspondence
text, January 2014

From strong to weak coupling in holographic models of thermalization
text, January 2016

Pole skipping with finite-coupling corrections
journal, December 2019

Recent Developments in the Holographic Description of Quantum Chaos
journal, March 2019

Stringy effects and the role of the singularity in holographic complexity
journal, September 2019

Pole skipping and chaos in anisotropic plasma: a holographic study
journal, March 2021

Holographic scalar and vector exchange in OTOCs and pole-skipping phenomena
journal, April 2021

Exact four point function for large q SYK from Regge theory
journal, May 2021

Pole skipping and zero temperature
journal, March 2021

Recent Developments in the Holographic Description of Quantum Chaos
journal, March 2019

Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs
text, January 2019

Pole-skipping with finite-coupling corrections
text, January 2019

Isolated zeros destroy Fermi surface in holographic models with a lattice
text, January 2019