On the collision of two shock waves in AdS(5)
Mar, 2008
12 pages
Published in:
- JHEP 08 (2008) 027
e-Print:
- 0803.3226 [hep-th]
Report number:
- INT-PUB-08-06,
- MIT-CTP-3939,
- YITP-08-18
View in:
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Abstract: (arXiv)
We consider two ultrarelativistic shock waves propagating and colliding in five-dimensional Anti-de-Sitter spacetime. By transforming to Rosen coordinates, we are able to find the form of the metric shortly after the collision. Using holographic renormalization, we calculate the energy-momentum tensor on the boundary of AdS space for early times after the collision. Via the gauge-gravity duality, this gives some insights on bulk dynamics of systems created by high energy scattering in strongly coupled gauge theories. We find that Bjorken boost-invariance is explicitely violated at early times and we obtain an estimate for the thermalization time in this simple system.Note:
- 15 pages, 1 figure; v2: clarifications on boost-invariance and appendix added; v3: minor modifications, references added, matches published version
- gauge field theory: SU(N)
- supersymmetry: 4
- space-time: anti-de Sitter
- dimension: 5
- Einstein equation: solution
- tensor: energy-momentum
- holography
- renormalization
- shock waves
- scattering
References(41)
Figures(1)