Holographic thermalization with initial long range correlation

Lin, Shu

doi:10.1103/PhysRevD.93.026007

Title: Holographic thermalization with initial long range correlation

Abstract

Here, we studied the evolution of the Wightman correlator in a thermalizing state modeled by AdS₃-Vaidya background. A prescription was given for calculating the Wightman correlator in coordinate space without using any approximation. For equal-time correlator , we obtained an enhancement factor v² due to long range correlation present in the initial state. This was missed by previous studies based on geodesic approximation. Moreover, we found that the long range correlation in initial state does not lead to significant modification to thermalization time as compared to known results with generic initial state. We also studied the spatially integrated Wightman correlator and showed evidence on the distinction between long distance and small momentum physics for an out-of-equilibrium state. We also calculated the radiation spectrum of particles weakly coupled to O and found that lower frequency mode approaches thermal spectrum faster than high frequency mode.

Authors:

Lin, Shu ^[1]

Sun Yat-Sen Univ., Guangzhou, (China); Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: Tue Jan 19 00:00:00 EST 2016

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN Research Center

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1260160

Report Number(s):: BNL-112310-2016-JA
Journal ID: ISSN 2470-0010; PRVDAQ; R&D Project: PO-3

Grant/Contract Number:: SC00112704

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Riken BNL Research Center

Citation Formats


                    Lin, Shu. Holographic thermalization with initial long range correlation.  United States: N. p., 2016. 
Web.  doi:10.1103/PhysRevD.93.026007.

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                    Lin, Shu. Holographic thermalization with initial long range correlation.  United States.  https://doi.org/10.1103/PhysRevD.93.026007

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                    Lin, Shu. Tue .  
"Holographic thermalization with initial long range correlation".  United States.  https://doi.org/10.1103/PhysRevD.93.026007.  https://www.osti.gov/servlets/purl/1260160.

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@article{osti_1260160,

  title        = {Holographic thermalization with initial long range correlation},

  author       = {Lin, Shu},

  abstractNote = {Here, we studied the evolution of the Wightman correlator in a thermalizing state modeled by AdS3-Vaidya background. A prescription was given for calculating the Wightman correlator in coordinate space without using any approximation. For equal-time correlator , we obtained an enhancement factor v2 due to long range correlation present in the initial state. This was missed by previous studies based on geodesic approximation. Moreover, we found that the long range correlation in initial state does not lead to significant modification to thermalization time as compared to known results with generic initial state. We also studied the spatially integrated Wightman correlator and showed evidence on the distinction between long distance and small momentum physics for an out-of-equilibrium state. We also calculated the radiation spectrum of particles weakly coupled to O and found that lower frequency mode approaches thermal spectrum faster than high frequency mode.},

  doi          = {10.1103/PhysRevD.93.026007},

  journal      = {Physical Review D},

  number       = 2,

  volume       = 93,

  place        = {United States},

  year         = {Tue Jan 19 00:00:00 EST 2016},

  month        = {Tue Jan 19 00:00:00 EST 2016}

}

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Works referenced in this record:

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Works referencing / citing this record:

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Title: Holographic thermalization with initial long range correlation

Abstract

Citation Formats

Evolution of two-point functions from holography journal, December 2011

Holographic dilepton production in a thermalizing plasma journal, July 2012

Production of prompt photons: Holographic duality and thermalization journal, October 2012

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories journal, April 2013

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Thermalization of Strongly Coupled Field Theories journal, May 2011

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Inhomogeneous Thermalization in Strongly Coupled Field Theories journal, December 2013

Simulation of asymptotically AdS 5 spacetimes with a generalized harmonic evolution scheme journal, April 2012

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Boost-invariant early time dynamics from AdS/CFT journal, October 2009

Weak field black hole formation in asymptotically AdS spacetimes journal, September 2009

Holographic thermalization with chemical potential journal, September 2012

Weak field collapse in AdS: introducing a charge density journal, June 2015

Time Dependence of Correlation Functions Following a Quantum Quench journal, April 2006

Fluctuation, dissipation, and thermalization in nonequilibrium AdS 5 black hole geometries journal, July 2011

From Full Stopping to Transparency in a Holographic Model of Heavy Ion Collisions journal, October 2013

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Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory journal, July 2010

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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes journal, July 2014

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Black hole formation in AdS and thermalization on the boundary journal, February 2000

Thermalization of Green functions and quasinormal modes journal, July 2015

Time singularities of correlators from Dirichlet conditions in AdS/CFT journal, March 2012

Thermalization from gauge/gravity duality: evolution of singularities in unequal time correlators journal, October 2012

A moving mirror in AdS space as a toy model for holographic thermalization journal, April 2011

Thermalization with a chemical potential from AdS spaces journal, July 2012

Rapid thermalization in field theory from gravitational collapse journal, September 2011

On field theory thermalization from gravitational collapse journal, February 2012

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Real-Time Gauge/Gravity Duality journal, August 2008

Real-time gauge/gravity duality: prescription, renormalization and examples journal, May 2009

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Probing the pattern of holographic thermalization with photons journal, July 2013

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Evolution of two-point functions from holography
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Holographic dilepton production in a thermalizing plasma
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Production of prompt photons: Holographic duality and thermalization
journal, October 2012

Thermalization of the spectral function in strongly coupled two dimensional conformal field theories
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Thermalization of Strongly Coupled Field Theories
journal, May 2011

Inhomogeneous holographic thermalization
journal, October 2013

Inhomogeneous Thermalization in Strongly Coupled Field Theories
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Simulation of asymptotically ${AdS}_{5}$ spacetimes with a generalized harmonic evolution scheme
journal, April 2012

Dynamics of holographic thermalization
journal, March 2013

Boost-invariant early time dynamics from AdS/CFT
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Weak field black hole formation in asymptotically AdS spacetimes
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Holographic thermalization with chemical potential
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Weak field collapse in AdS: introducing a charge density
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Time Dependence of Correlation Functions Following a Quantum Quench
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Fluctuation, dissipation, and thermalization in nonequilibrium ${AdS}_{5}$ black hole geometries
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From Full Stopping to Transparency in a Holographic Model of Heavy Ion Collisions
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Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in $N = 4$ supersymmetric Yang-Mills theory
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Holography and Colliding Gravitational Shock Waves in Asymptotically $Ad S_{5}$ Spacetime
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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
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Spherically collapsing matter in AdS, holography, and shellons
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Black hole formation in AdS and thermalization on the boundary
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Thermalization of Green functions and quasinormal modes
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Time singularities of correlators from Dirichlet conditions in AdS/CFT
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Thermalization from gauge/gravity duality: evolution of singularities in unequal time correlators
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A moving mirror in AdS space as a toy model for holographic thermalization
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Thermalization with a chemical potential from AdS spaces
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Rapid thermalization in field theory from gravitational collapse
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journal, February 2012

Gravitational collapse and its boundary description in AdS
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On the collision of two shock waves in AdS ₅
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Non-equilibrium scalar two point functions in AdS/CFT
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