Early Time Dynamics in Heavy Ion Collisions from AdS/CFT Correspondence

Abstract

We study the matter produced in heavy ion collisions assuming that this matter is strongly interacting and employing AdS/CFT correspondence to investigate its dynamics. At late proper times we show that Bjorken hydrodynamics solution, obtained recently by Janik and Peschanski using gauge-gravity duality [hep-th/0512162], can be singled out by simply requiring that the metric tensor is a real and single-valued function of the coordinates everywhere in the bulk, without imposing any constraints on the curvature invariant. At early proper times we use similar strategy to show that the energy density approaches a constant as proper time goes to zero. We therefore demonstrate that the strong coupling dynamics incorporates the isotropization transition in heavy ion collisions. By matching our early-time regime with the late-time one of Janik and Peschanski we estimate the isotropization time at RHIC to be approximately 0.3 fm/c, in good agreement with results of hydrodynamic simulations.

24 pages, 2 figures; v2: some references added, minor typos corrected

References in corpus (6)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Viscous hydrodynamics relaxation time from AdS/CFT
• The RHIC fireball as a dual black hole
• How much entropy is produced in strongly coupled Quark-Gluon Plasma (sQGP) by dissipative effects?
• Gravity dual of 1+1 dimensional Bjorken expansion

Cited by in corpus (20)

• Entropy Current in Conformal Hydrodynamics
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• System-size independence of directed flow at the Relativistic Heavy-Ion Collider
• Forced Fluid Dynamics from Gravity
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Constraining relativistic viscous hydrodynamical evolution
• Chemical freeze-out temperature in hydrodynamical description of Au+Au collisions at sqrt(s_NN) = 200 GeV
• Entropy flow of a perfect fluid in (1+1) hydrodynamics
• Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
• Gravity dual of 1+1 dimensional Bjorken expansion
• Near Zone Navier-Stokes Analysis of Heavy Quark Jet Quenching in an $\mathcal{N}$ =4 SYM Plasma
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Flavors in an expanding plasma
• Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence
• Casimir energy in the gauge/gravity description of Bjorken flow?
• Isotropic AdS/CFT fireball
• Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
• Introduction to String Theory and Gauge/Gravity duality for students in QCD and QGP phenomenology
• Quark-Gluon Plasma/Black Hole duality from Gauge/Gravity Correspondence