Exploring nonlocal observables in shock wave collisions
In this paper, we study the time evolution of 2point functions and entanglement entropy in strongly anisotropic, inhomogeneous and timedependent N = 4 super YangMills 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 crossover from the transparency to the fullstopping scenario in dynamical YangMills plasma formation, which is frequently used as a toy model for heavy ion collisions. The time evolution of entanglement entropy allows to discern four regimes: highly efficient initial growth of entanglement, linear growth, (post) collisional drama and late time (polynomial) fall off. Surprisingly, we found that 2point functions can be sensitive to the geometry inside the black hole apparent horizon, while we did not find such cases for the entanglementmore »
 Authors:

^{[1]};
^{[1]};
^{[1]};
^{[1]};
^{[2]}
 TU Wien, Vienna (Austria). Inst. of Theoretical Physics
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics
 Publication Date:
 Grant/Contract Number:
 SC0011090; Y435N16; I952N16; P27182N27; P28751N27; DKW1252N27; P26328
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 11; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); TU Wien, Vienna (Austria)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26); Austrian Science Fund (FWF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdSCFT Correspondence; Black Holes; Holography and quarkgluon plasmas; QuarkGluon Plasma
 OSTI Identifier:
 1360100
Ecker, Christian, Grumiller, Daniel, Stanzer, Philipp, Stricker, Stefan A., and van der Schee, Wilke. Exploring nonlocal observables in shock wave collisions. United States: N. p.,
Web. doi:10.1007/JHEP11(2016)054.
Ecker, Christian, Grumiller, Daniel, Stanzer, Philipp, Stricker, Stefan A., & van der Schee, Wilke. Exploring nonlocal observables in shock wave collisions. United States. doi:10.1007/JHEP11(2016)054.
Ecker, Christian, Grumiller, Daniel, Stanzer, Philipp, Stricker, Stefan A., and van der Schee, Wilke. 2016.
"Exploring nonlocal observables in shock wave collisions". United States.
doi:10.1007/JHEP11(2016)054. https://www.osti.gov/servlets/purl/1360100.
@article{osti_1360100,
title = {Exploring nonlocal observables in shock wave collisions},
author = {Ecker, Christian and Grumiller, Daniel and Stanzer, Philipp and Stricker, Stefan A. and van der Schee, Wilke},
abstractNote = {In this paper, we study the time evolution of 2point functions and entanglement entropy in strongly anisotropic, inhomogeneous and timedependent N = 4 super YangMills 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 crossover from the transparency to the fullstopping scenario in dynamical YangMills plasma formation, which is frequently used as a toy model for heavy ion collisions. The time evolution of entanglement entropy allows to discern four regimes: highly efficient initial growth of entanglement, linear growth, (post) collisional drama and late time (polynomial) fall off. Surprisingly, we found that 2point functions can be sensitive to the geometry inside the black hole apparent horizon, while we did not find such cases for the entanglement entropy.},
doi = {10.1007/JHEP11(2016)054},
journal = {Journal of High Energy Physics (Online)},
number = 11,
volume = 2016,
place = {United States},
year = {2016},
month = {11}
}