Built on

L. D. Landau, On the multiparticle production in high-energy collisions
1953
Earlier work this paper cites.
L. H. Ford and T. A. Roman, The Quantum interest conjecture
1999
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, Holographic particle detection
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems
2005
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, Asymptotic perfect fluid dynamics as a consequence of Ads/CFT
2006
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
G. Festuccia and H. Liu, Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Earlier work this paper cites.
D. Grumiller and P. Romatschke, On the collision of two shock waves in AdS5
Original
2008
Earlier work this paper cites.
J. L. Albacete, Y. V. Kovchegov and A. Taliotis, Asymmetric Collision of Two Shock Waves in AdS(5)
Original
2009
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy
Original
2010
Earlier work this paper cites.

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2015
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P. M. Chesler, N. Kilbertus and W. van der Schee, Universal hydrodynamic flow in holographic planar shock collisions
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P. M. Chesler and L. G. Yaffe, Holography and off-center collisions of localized shock waves
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2015
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2016

Exploring nonlocal observables in shock wave collisions

Ecker, Christian, Grumiller, Daniel, Stanzer, Philipp et al.

Understand

We study the time evolution of 2-point functions and entanglement entropy in strongly anisotropic, inhomogeneous and time-dependent N=4 super Yang-Mills theory in the large N and large 't Hooft coupling limit using AdS/CFT.

On the gravity side this amounts to calculating the length of geodesics and area of extremal surfaces in the dynamical background of two colliding gravitational shockwaves, which we do numerically.
We discriminate between three classes of initial conditions corresponding to wide, intermediate and narrow shocks, and show that they exhibit different phenomenology with respect to the nonlocal observables that we determine.
Our results permit to use (holographic) entanglement entropy as an order parameter to distinguish between the two phases of the cross-over from the transparency to the full-stopping scenario in dynamical Yang-Mills plasma formation, which is frequently used as a toy model for heavy ion collisions.

Built on

L. D. Landau, On the multiparticle production in high-energy collisions
1953
Earlier work this paper cites.
L. H. Ford and T. A. Roman, The Quantum interest conjecture
1999
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, Holographic particle detection
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin and K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence
2001
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, Evolution of entanglement entropy in one-dimensional systems
2005
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, Asymptotic perfect fluid dynamics as a consequence of Ads/CFT
2006
Earlier work this paper cites.
R. A. Janik and R. B. Peschanski, Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT
2006
Earlier work this paper cites.
G. Festuccia and H. Liu, Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I
2006
Earlier work this paper cites.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal
Original
2007
Earlier work this paper cites.
D. Grumiller and P. Romatschke, On the collision of two shock waves in AdS5
Original
2008
Earlier work this paper cites.
J. L. Albacete, Y. V. Kovchegov and A. Taliotis, Asymmetric Collision of Two Shock Waves in AdS(5)
Original
2009
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy
Original
2010
Earlier work this paper cites.