Built on

J. Jankowski, G. Plewa, and M. Spalinski, “Statistics of thermalization in Bjorken Flow,” JHEP
Original
1969
Earlier work this paper cites.
J. Bjorken, “Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,” Phys.Rev
1983
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys.Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
L. H. Ford and T. A. Roman, “The Quantum interest conjecture,” Phys. Rev
1999
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett
2001
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin, and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys
2001
Earlier work this paper cites.
K. Pilch and N. P. Warner, “N=2 supersymmetric RG flows and the IIB dilaton,” Nucl. Phys
2001
Earlier work this paper cites.
P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Effective kinetic theory for high temperature gauge theories,” JHEP
2003
Earlier work this paper cites.
A. Buchel and J. T. Liu, “Thermodynamics of the N=2* flow,” JHEP
2003
Earlier work this paper cites.
E. V. Shuryak, “The QCD vacuum, hadrons and the superdense matter,” World Sci. Lect. Notes Phys
2004
Earlier work this paper cites.
A. Buchel and J. T. Liu, “Universality of the shear viscosity in supergravity,” Phys. Rev. Lett
2004
Earlier work this paper cites.
M. Gyulassy and L. McLerran, “New forms of QCD matter discovered at RHIC,” Nucl. Phys
2005
Earlier work this paper cites.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys.Rev
2005
Earlier work this paper cites.
U. W. Heinz, “Thermalization at RHIC,” AIP Conf.Proc
2005
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, “Asymptotic perfect fluid dynamics as a consequence of Ads/CFT,” Phys. Rev
2006
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, “Gauge/gravity duality and thermalization of a boost-invariant perfect fluid,” Phys. Rev
2006
Earlier work this paper cites.
S. C. Huot, S. Jeon, and G. D. Moore, “Shear viscosity in weakly coupled N = 4 super Yang-Mills theory compared to QCD,” Phys. Rev. Lett
2007
Earlier work this paper cites.
P. B. Arnold, “Quark-Gluon Plasmas and Thermalization,” Int. J. Mod. Phys
Original
2007
Earlier work this paper cites.
A. Buchel, S. Deakin, P. Kerner, and J. T. Liu, “Thermodynamics of the N=2* strongly coupled plasma,” Nucl. Phys
2007
Earlier work this paper cites.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets, and M. A. Stephanov, “Relativistic viscous hydrodynamics, conformal invariance, and holography,” JHEP
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla, and A. Sharma, “Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions,” JHEP
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP
Original
2008
Earlier work this paper cites.
I. Amado, C. Hoyos-Badajoz, K. Landsteiner, and S. Montero, “Residues of correlators in the strongly coupled N=4 plasma,” Phys. Rev
Original
2008
Earlier work this paper cites.
R. A. Janik and P. Witaszczyk, “Towards the description of anisotropic plasma at strong coupling,” JHEP
Original
2008
Earlier work this paper cites.
G. Beuf, M. P. Heller, R. A. Janik, and R. Peschanski, “Boost-invariant early time dynamics from AdS/CFT,” JHEP
Original
2009
Earlier work this paper cites.
P. Grandclement and J. Novak, “Spectral methods for numerical relativity,” Living Rev. Rel
Original
2009
Earlier work this paper cites.
E. Berti, V. Cardoso, and A. O. Starinets, “Quasinormal modes of black holes and black branes,” Class. Quant. Grav
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers, and A. Sinha, “Beyond eta/s = 1/4 pi,” JHEP
Original
2009
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
P. M. Chesler and L. G. Yaffe, “Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory,” Phys.Rev
Original
2010
Earlier work this paper cites.

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Later among the works it cites.
V. Balasubramanian, A. Buchel, S. R. Green, L. Lehner, and S. L. Liebling, “Holographic Thermalization, Stability of Anti–de Sitter Space, and the Fermi-Pasta-Ulam Paradox,” Phys. Rev. Lett
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Later among the works it cites.
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S. R. Green, F. Carrasco, and L. Lehner, “Holographic Path to the Turbulent Side of Gravity,” Phys. Rev
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2016

Holography, Hydrodynamization and Heavy-Ion Collisions

Heller, Michal P.

Understand

In the course of the past several years holography has emerged as an ab initio tool in exploring strongly-time-dependent phenomena in gauge theories.

These lecture notes overview recent developments in this area driven by phenomenological questions concerning applicability of hydrodynamics (hydrodynamization) under extreme conditions occurring in ultrarelativistic heavy-ion collisions at RHIC and LHC.
The topics include hydrodynamization time scale, holographic collisions, as well as hydrodynamization from the point of view of the asymptotic character of the hydrodynamic gradient expansion.
The emphasis is put on concepts rather than calculational techniques and a particular attention is devoted to present these developments in the context of the most recent advances and some of the open problems.

Built on

J. Jankowski, G. Plewa, and M. Spalinski, “Statistics of thermalization in Bjorken Flow,” JHEP
Original
1969
Earlier work this paper cites.
J. Bjorken, “Highly Relativistic Nucleus-Nucleus Collisions: The Central Rapidity Region,” Phys.Rev
1983
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
S. Gubser, I. R. Klebanov, and A. M. Polyakov, “Gauge theory correlators from noncritical string theory,” Phys.Lett
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space and holography,” Adv.Theor.Math.Phys
1998
Earlier work this paper cites.
E. Witten, “Anti-de Sitter space, thermal phase transition, and confinement in gauge theories,” Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
L. H. Ford and T. A. Roman, “The Quantum interest conjecture,” Phys. Rev
1999
Earlier work this paper cites.
G. Policastro, D. T. Son, and A. O. Starinets, “The Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma,” Phys. Rev. Lett
2001
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin, and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys
2001
Earlier work this paper cites.
K. Pilch and N. P. Warner, “N=2 supersymmetric RG flows and the IIB dilaton,” Nucl. Phys
2001
Earlier work this paper cites.
P. B. Arnold, G. D. Moore, and L. G. Yaffe, “Effective kinetic theory for high temperature gauge theories,” JHEP
2003
Earlier work this paper cites.
A. Buchel and J. T. Liu, “Thermodynamics of the N=2* flow,” JHEP
2003
Earlier work this paper cites.
E. V. Shuryak, “The QCD vacuum, hadrons and the superdense matter,” World Sci. Lect. Notes Phys
2004
Earlier work this paper cites.
A. Buchel and J. T. Liu, “Universality of the shear viscosity in supergravity,” Phys. Rev. Lett
2004
Earlier work this paper cites.
M. Gyulassy and L. McLerran, “New forms of QCD matter discovered at RHIC,” Nucl. Phys
2005
Earlier work this paper cites.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys.Rev
2005
Earlier work this paper cites.
U. W. Heinz, “Thermalization at RHIC,” AIP Conf.Proc
2005
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, “Asymptotic perfect fluid dynamics as a consequence of Ads/CFT,” Phys. Rev
2006
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, “Gauge/gravity duality and thermalization of a boost-invariant perfect fluid,” Phys. Rev
2006
Earlier work this paper cites.
S. C. Huot, S. Jeon, and G. D. Moore, “Shear viscosity in weakly coupled N = 4 super Yang-Mills theory compared to QCD,” Phys. Rev. Lett
2007
Earlier work this paper cites.
P. B. Arnold, “Quark-Gluon Plasmas and Thermalization,” Int. J. Mod. Phys
Original
2007
Earlier work this paper cites.
A. Buchel, S. Deakin, P. Kerner, and J. T. Liu, “Thermodynamics of the N=2* strongly coupled plasma,” Nucl. Phys
2007
Earlier work this paper cites.
R. Baier, P. Romatschke, D. T. Son, A. O. Starinets, and M. A. Stephanov, “Relativistic viscous hydrodynamics, conformal invariance, and holography,” JHEP
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, R. Loganayagam, I. Mandal, S. Minwalla, and A. Sharma, “Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions,” JHEP
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, S. Minwalla, and M. Rangamani, “Nonlinear Fluid Dynamics from Gravity,” JHEP
Original
2008
Earlier work this paper cites.
I. Amado, C. Hoyos-Badajoz, K. Landsteiner, and S. Montero, “Residues of correlators in the strongly coupled N=4 plasma,” Phys. Rev
Original
2008
Earlier work this paper cites.
R. A. Janik and P. Witaszczyk, “Towards the description of anisotropic plasma at strong coupling,” JHEP
Original
2008
Earlier work this paper cites.
G. Beuf, M. P. Heller, R. A. Janik, and R. Peschanski, “Boost-invariant early time dynamics from AdS/CFT,” JHEP
Original
2009
Earlier work this paper cites.
P. Grandclement and J. Novak, “Spectral methods for numerical relativity,” Living Rev. Rel
Original
2009
Earlier work this paper cites.
E. Berti, V. Cardoso, and A. O. Starinets, “Quasinormal modes of black holes and black branes,” Class. Quant. Grav
Original
2009
Earlier work this paper cites.
A. Buchel, R. C. Myers, and A. Sinha, “Beyond eta/s = 1/4 pi,” JHEP
Original
2009
Earlier work this paper cites.
D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” Phys. Rev. Lett
Original
2009
Earlier work this paper cites.
P. M. Chesler and L. G. Yaffe, “Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory,” Phys.Rev
Original
2010
Earlier work this paper cites.