Holography and off-center collisions of localized shock waves

Chesler, Paul M.; Yaffe, Laurence G.

doi:10.1007/JHEP10(2015)070

Title: Holography and off-center collisions of localized shock waves

Abstract

Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N=4 supersymmetric Yang-Mills theory. Both longitudinal and transverse dynamics in the dual field theory are properly described. Using the gravitational description, we solve 5D Einstein equations with no dimensionality reducing symmetry restrictions to find the asymptotically anti-de Sitter spacetime geometry. Here, the implications of our results on the understanding of early stages of heavy ion collisions, including the development of transverse radial flow, are discussed.

Authors:

Chesler, Paul M. ^[1];

^[2]

Harvard Univ., Cambridge, MA (United States)
Univ. of Washington, Seattle, WA (United States)

Publication Date:: Mon Oct 12 00:00:00 EDT 2015

Research Org.:: Univ. of Washington, Seattle, WA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Alexander von Humboldt Foundation

OSTI Identifier:: 1436116

Grant/Contract Number:: SC0011637

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: 2015; Journal Issue: 10; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 79 ASTRONOMY AND ASTROPHYSICS; Quark-Gluon Plasma; Gauge-gravity correspondence; Classical Theories of Gravity

Citation Formats


                    Chesler, Paul M., and Yaffe, Laurence G. Holography and off-center collisions of localized shock waves.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP10(2015)070.

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                    Chesler, Paul M., & Yaffe, Laurence G. Holography and off-center collisions of localized shock waves.  United States.  https://doi.org/10.1007/JHEP10(2015)070

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                    Chesler, Paul M., and Yaffe, Laurence G. Mon .  
"Holography and off-center collisions of localized shock waves".  United States.  https://doi.org/10.1007/JHEP10(2015)070.  https://www.osti.gov/servlets/purl/1436116.

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@article{osti_1436116,

  title        = {Holography and off-center collisions of localized shock waves},

  author       = {Chesler, Paul M. and Yaffe, Laurence G.},

  abstractNote = {Using numerical holography, we study the collision, at non-zero impact parameter, of bounded, localized distributions of energy density chosen to mimic relativistic heavy ion collisions, in strongly coupled N=4 supersymmetric Yang-Mills theory. Both longitudinal and transverse dynamics in the dual field theory are properly described. Using the gravitational description, we solve 5D Einstein equations with no dimensionality reducing symmetry restrictions to find the asymptotically anti-de Sitter spacetime geometry. Here, the implications of our results on the understanding of early stages of heavy ion collisions, including the development of transverse radial flow, are discussed.},

  doi          = {10.1007/JHEP10(2015)070},

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

  number       = 10,

  volume       = 2015,

  place        = {United States},

  year         = {Mon Oct 12 00:00:00 EDT 2015},

  month        = {Mon Oct 12 00:00:00 EDT 2015}

}

Copy to clipboard

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https://doi.org/10.1007/JHEP10(2015)070

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Figures / Tables:

Figure 1: The energy density T⁰⁰ (top) and energy flux |T⁰ⁱ| (bottom), at four different times, in the plane y = 0. Streamlines in the lower plots denote the direction of energy flux. Note that the color scaling varies from plot to plot. At the initial time t = −2more »

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Works referenced in this record:

What RHIC experiments and theory tell us about properties of quark–gluon plasma?
journal, March 2005

Shuryak, Edward
Nuclear Physics A, Vol. 750, Issue 1
DOI: 10.1016/j.nuclphysa.2004.10.022

Relativistic viscous hydrodynamics, conformal invariance, and holography
journal, April 2008

Baier, Rudolf; Romatschke, Paul; Son, Dam Thanh
Journal of High Energy Physics, Vol. 2008, Issue 04
DOI: 10.1088/1126-6708/2008/04/100

Strong Coupling Isotropization of Non-Abelian Plasmas Simplified
journal, May 2012

Heller, Michal P.; Mateos, David; van der Schee, Wilke
Physical Review Letters, Vol. 108, Issue 19
DOI: 10.1103/PhysRevLett.108.191601

Nonlinear fluid dynamics from gravity
journal, February 2008

Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E.
Journal of High Energy Physics, Vol. 2008, Issue 02
DOI: 10.1088/1126-6708/2008/02/045

Initial state fluctuations and final state correlations in relativistic heavy-ion collisions
journal, May 2014

Luzum, Matthew; Petersen, Hannah
Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 6
DOI: 10.1088/0954-3899/41/6/063102

Holography and Colliding Gravitational Shock Waves in Asymptotically $Ad S_{5}$ Spacetime
journal, January 2011

Chesler, Paul M.; Yaffe, Laurence G.
Physical Review Letters, Vol. 106, Issue 2
DOI: 10.1103/PhysRevLett.106.021601

Statistics of initial density perturbations in heavy ion collisions and their fluid dynamic response
journal, August 2014

Floerchinger, Stefan; Wiedemann, Urs Achim
Journal of High Energy Physics, Vol. 2014, Issue 8
DOI: 10.1007/JHEP08(2014)005

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

Chesler, Paul M.; Yaffe, Laurence G.
Journal of High Energy Physics, Vol. 2014, Issue 7
DOI: 10.1007/JHEP07(2014)086

On the collision of two shock waves in AdS ₅
journal, August 2008

Grumiller, Daniel; Romatschke, Paul
Journal of High Energy Physics, Vol. 2008, Issue 08
DOI: 10.1088/1126-6708/2008/08/027

Simulation of Black Hole Collisions in Asymptotically Anti–de Sitter Spacetimes
journal, February 2015

Bantilan, Hans; Romatschke, Paul
Physical Review Letters, Vol. 114, Issue 8
DOI: 10.1103/PhysRevLett.114.081601

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
journal, March 2001

de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N.
Communications in Mathematical Physics, Vol. 217, Issue 3
DOI: 10.1007/s002200100381

Fully Dynamical Simulation of Central Nuclear Collisions
journal, November 2013

van der Schee, Wilke; Romatschke, Paul; Pratt, Scott
Physical Review Letters, Vol. 111, Issue 22
DOI: 10.1103/PhysRevLett.111.222302

Holographic isotropization linearized
journal, September 2013

Heller, Michal P.; Mateos, David; van der Schee, Wilke
Journal of High Energy Physics, Vol. 2013, Issue 9
DOI: 10.1007/JHEP09(2013)026

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

Casalderrey-Solana, Jorge; Heller, Michal P.; Mateos, David
Physical Review Letters, Vol. 111, Issue 18
DOI: 10.1103/PhysRevLett.111.181601

Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
text, January 2001

De Haro, S.; Skenderis, K.; Solodukhin, Sn
Apollo - University of Cambridge Repository
DOI: 10.17863/cam.22093

Strong coupling isotropization of non-Abelian plasmas simplified
text, January 2012

Heller, Michal P.; Mateos, David; van der Schee, Wilke
arXiv
DOI: 10.48550/arxiv.1202.0981

Holographic isotropization linearized
text, January 2013

Heller, Michal P.; Mateos, David; van der Schee, Wilke
arXiv
DOI: 10.48550/arxiv.1304.5172

From full stopping to transparency in a holographic model of heavy ion collisions
text, January 2013

Casalderrey-Solana, Jorge; Heller, Michal P.; Mateos, David
arXiv
DOI: 10.48550/arxiv.1305.4919

A fully dynamical simulation of central nuclear collisions
text, January 2013

van der Schee, Wilke; Romatschke, Paul; Pratt, Scott
arXiv
DOI: 10.48550/arxiv.1307.2539

Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
text, January 2013

Chesler, Paul M.; Yaffe, Laurence G.
arXiv
DOI: 10.48550/arxiv.1309.1439

Initial State Fluctuations and Final State Correlations in Relativistic Heavy-Ion Collisions
text, January 2013

Luzum, Matthew; Petersen, Hannah
arXiv
DOI: 10.48550/arxiv.1312.5503

Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
text, January 2000

de Haro, Sebastian; Skenderis, Kostas; Solodukhin, Sergey N.
arXiv
DOI: 10.48550/arxiv.hep-th/0002230

Works referencing / citing this record:

Dynamics of phase separation from holography
journal, January 2020

Attems, Maximilian; Bea, Yago; Casalderrey-Solana, Jorge
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/jhep01(2020)106

Asymmetric shockwave collisions in AdS5
journal, August 2019

Waeber, Sebastian; Rabenstein, Andreas; Schäfer, Andreas
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/jhep08(2019)005

Relativistic Fluid Dynamics in and out of Equilibrium
book, January 2019

Romatschke, Paul; Romatschke, Ulrike
DOI: 10.1017/9781108651998

Holographic Quark Matter and Neutron Stars
journal, July 2016

Hoyos, Carlos; Jokela, Niko; Rodríguez Fernández, David
Physical Review Letters, Vol. 117, Issue 3
DOI: 10.1103/physrevlett.117.032501

Universal hydrodynamic flow in holographic planar shock collisions
text, January 2015

Chesler, Paul; Kilbertus, Niki; Schee, Wilke
Universität Regensburg
DOI: 10.5283/epub.33152

Asymmetric shockwave collisions in AdS5
text, January 2019

Waeber, Sebastian; Rabenstein, Andreas; Schäfer, Andreas
Universität Regensburg
DOI: 10.5283/epub.45480

Universal hydrodynamic flow in holographic planar shock collisions
text, January 2015

Chesler, Paul M.; Kilbertus, Niki; van der Schee, Wilke
Universität Regensburg
DOI: 10.5283/epub.37210

Universal hydrodynamic flow in holographic planar shock collisions
text, January 2015

Chesler, Paul; Kilbertus, Niki; Schee, Wilke
Universität Regensburg
DOI: 10.5283/epub.33153

Holographic quark matter and neutron stars
text, January 2016

Hoyos, Carlos; Fernández, David Rodríguez; Jokela, Niko
arXiv
DOI: 10.48550/arxiv.1603.02943

Coupling constant corrections in a holographic model of heavy ion collisions
text, January 2016

Grozdanov, Sašo; van der Schee, Wilke
arXiv
DOI: 10.48550/arxiv.1610.08976

Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
text, January 2017

Casalderrey-Solana, Jorge; Gushterov, Nikola I.; Meiring, Ben
arXiv
DOI: 10.48550/arxiv.1712.02772

Dynamics of Phase Separation from Holography
text, January 2019

Attems, Maximilian; Bea, Yago; Casalderrey-Solana, Jorge
arXiv
DOI: 10.48550/arxiv.1905.12544

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

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Title: Holography and off-center collisions of localized shock waves

Abstract

Citation Formats

Figures / Tables:

What RHIC experiments and theory tell us about properties of quark–gluon plasma? journal, March 2005

Relativistic viscous hydrodynamics, conformal invariance, and holography journal, April 2008

Strong Coupling Isotropization of Non-Abelian Plasmas Simplified journal, May 2012

Nonlinear fluid dynamics from gravity journal, February 2008

Initial state fluctuations and final state correlations in relativistic heavy-ion collisions journal, May 2014

Holography and Colliding Gravitational Shock Waves in Asymptotically Ad S 5 Spacetime journal, January 2011

Statistics of initial density perturbations in heavy ion collisions and their fluid dynamic response journal, August 2014

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

On the collision of two shock waves in AdS 5 journal, August 2008

Simulation of Black Hole Collisions in Asymptotically Anti–de Sitter Spacetimes journal, February 2015

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence journal, March 2001

Fully Dynamical Simulation of Central Nuclear Collisions journal, November 2013

Holographic isotropization linearized journal, September 2013

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

Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence text, January 2001

Strong coupling isotropization of non-Abelian plasmas simplified text, January 2012

Holographic isotropization linearized text, January 2013

From full stopping to transparency in a holographic model of heavy ion collisions text, January 2013

A fully dynamical simulation of central nuclear collisions text, January 2013

Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes text, January 2013

Initial State Fluctuations and Final State Correlations in Relativistic Heavy-Ion Collisions text, January 2013

Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence text, January 2000

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Asymmetric shockwave collisions in AdS5 journal, August 2019

Relativistic Fluid Dynamics in and out of Equilibrium book, January 2019

Holographic Quark Matter and Neutron Stars journal, July 2016

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Asymmetric shockwave collisions in AdS5 text, January 2019

Universal hydrodynamic flow in holographic planar shock collisions text, January 2015

Universal hydrodynamic flow in holographic planar shock collisions text, January 2015

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Coupling constant corrections in a holographic model of heavy ion collisions text, January 2016

Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography text, January 2017

Dynamics of Phase Separation from Holography text, January 2019

What RHIC experiments and theory tell us about properties of quark–gluon plasma?
journal, March 2005

Relativistic viscous hydrodynamics, conformal invariance, and holography
journal, April 2008

Strong Coupling Isotropization of Non-Abelian Plasmas Simplified
journal, May 2012

Nonlinear fluid dynamics from gravity
journal, February 2008

Initial state fluctuations and final state correlations in relativistic heavy-ion collisions
journal, May 2014

Holography and Colliding Gravitational Shock Waves in Asymptotically $Ad S_{5}$ Spacetime
journal, January 2011

Statistics of initial density perturbations in heavy ion collisions and their fluid dynamic response
journal, August 2014

Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
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On the collision of two shock waves in AdS ₅
journal, August 2008

Simulation of Black Hole Collisions in Asymptotically Anti–de Sitter Spacetimes
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Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence
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Fully Dynamical Simulation of Central Nuclear Collisions
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Holographic isotropization linearized
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From Full Stopping to Transparency in a Holographic Model of Heavy Ion Collisions
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Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
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Strong coupling isotropization of non-Abelian plasmas simplified
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Holographic isotropization linearized
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From full stopping to transparency in a holographic model of heavy ion collisions
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Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
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Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
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