Abstract
We numerically simulate collisions of charged shockwaves in Einstein-Maxwell theory in anti-de Sitter space as a toy model of heavy ion collisions with non-zero baryon charge. The stress tensor and the baryon current become well described by charged hydrodynamics at roughly the same time. The effect of the charge density on generic observables is typically no larger than 15%. We find significant stopping of the baryon charge and compare our results with those in heavy ion collision experiments.
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P.M. Chesler and L.G. Yaffe, Holography and colliding gravitational shock waves in asymptotically AdS 5 spacetime, Phys. Rev. Lett. 106 (2011) 021601 [arXiv:1011.3562] [INSPIRE].
J. Casalderrey-Solana, M.P. Heller, D. Mateos and W. van der Schee, From full stopping to transparency in a holographic model of heavy ion collisions, Phys. Rev. Lett. 111 (2013) 181601 [arXiv:1305.4919] [INSPIRE].
J. Casalderrey-Solana, M.P. Heller, D. Mateos and W. van der Schee, Longitudinal Coherence in a Holographic Model of Asymmetric Collisions, Phys. Rev. Lett. 112 (2014) 221602 [arXiv:1312.2956] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Holography and off-center collisions of localized shock waves, JHEP 10 (2015) 070 [arXiv:1501.04644] [INSPIRE].
J. Casalderrey-Solana, H. Liu, D. Mateos, K. Rajagopal and U.A. Wiedemann, Gauge/String Duality, Hot QCD and Heavy Ion Collisions, arXiv:1101.0618 [INSPIRE].
P.M. Chesler and W. van der Schee, Early thermalization, hydrodynamics and energy loss in AdS/CFT, Int. J. Mod. Phys. E 24 (2015) 1530011 [arXiv:1501.04952] [INSPIRE].
J.F. Fuini and L.G. Yaffe, Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field, JHEP 07 (2015) 116 [arXiv:1503.07148] [INSPIRE].
J.P. Gauntlett and J.B. Gutowski, All supersymmetric solutions of minimal gauged supergravity in five-dimensions, Phys. Rev. D 68 (2003) 105009 [Erratum ibid. D 70 (2004) 089901] [hep-th/0304064] [INSPIRE].
S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [INSPIRE].
J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, Fluid dynamics of R-charged black holes, JHEP 01 (2009) 055 [arXiv:0809.2488] [INSPIRE].
N. Banerjee, J. Bhattacharya, S. Bhattacharyya, S. Dutta, R. Loganayagam and P. Surowka, Hydrodynamics from charged black branes, JHEP 01 (2011) 094 [arXiv:0809.2596] [INSPIRE].
P.M. Chesler and L.G. Yaffe, Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes, JHEP 07 (2014) 086 [arXiv:1309.1439] [INSPIRE].
W. van der Schee, Gravitational collisions and the quark-gluon plasma, arXiv:1407.1849 [INSPIRE].
P.M. Chesler, N. Kilbertus and W. van der Schee, Universal hydrodynamic flow in holographic planar shock collisions, JHEP 11 (2015) 135 [arXiv:1507.02548] [INSPIRE].
J.L. Albacete, Y.V. Kovchegov and A. Taliotis, Asymmetric Collision of Two Shock Waves in AdS 5, JHEP 05 (2009) 060 [arXiv:0902.3046] [INSPIRE].
P. Arnold, P. Romatschke and W. van der Schee, Absence of a local rest frame in far from equilibrium quantum matter, JHEP 10 (2014) 110 [arXiv:1408.2518] [INSPIRE].
BRAHMS collaboration, I.G. Bearden et al., Nuclear stopping in Au + Au collisions at \( \sqrt{s_{\mathrm{NN}}}=200 \) GeV, Phys. Rev. Lett. 93 (2004) 102301 [nucl-ex/0312023] [INSPIRE].
E917 collaboration, B.B. Back et al., Baryon rapidity loss in relativistic Au + Au collisions, Phys. Rev. Lett. 86 (2001) 1970 [nucl-ex/0003007] [INSPIRE].
NA49 collaboration, H. Appelshauser et al., Baryon stopping and charged particle distributions in central P b + P b collisions at 158 GeV per nucleon, Phys. Rev. Lett. 82 (1999) 2471 [nucl-ex/9810014] [INSPIRE].
W. van der Schee and B. Schenke, Rapidity dependence in holographic heavy ion collisions, Phys. Rev. C 92 (2015) 064907 [arXiv:1507.08195] [INSPIRE].
E. Avsar, E. Iancu, L. McLerran and D.N. Triantafyllopoulos, Shockwaves and deep inelastic scattering within the gauge/gravity duality, JHEP 11 (2009) 105 [arXiv:0907.4604] [INSPIRE].
J. Casalderrey-Solana, D.C. Gulhan, J.G. Milhano, D. Pablos and K. Rajagopal, A Hybrid Strong/Weak Coupling Approach to Jet Quenching, JHEP 10 (2014) 019 [Erratum ibid. 09 (2015) 175] [arXiv:1405.3864] [INSPIRE].
E. Iancu and A. Mukhopadhyay, A semi-holographic model for heavy-ion collisions, JHEP 06 (2015) 003 [arXiv:1410.6448] [INSPIRE].
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ArXiv ePrint: 1607.05273
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Casalderrey-Solana, J., Mateos, D., van der Schee, W. et al. Holographic heavy ion collisions with baryon charge. J. High Energ. Phys. 2016, 108 (2016). https://doi.org/10.1007/JHEP09(2016)108
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DOI: https://doi.org/10.1007/JHEP09(2016)108