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 (58)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Green's Functions in the Color Field of a Large Nucleus
• Radial and elliptic flow at RHIC: further predictions
• From AdS/CFT correspondence to hydrodynamics
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Hadron production in nuclear collisions at RHIC and high density QCD
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• Holography and hydrodynamics: diffusion on stretched horizons
• Bottom-up thermalization in heavy ion collisions
• Anisotropic transverse flow and the quark-hadron phase transition
• Elliptic flow at SPS and RHIC: from kinetic transport to hydrodynamics
• Non-Abelian Weizsacker-Williams field and a two-dimensional effective color charge density for a very large nucleus
• Saturation Physics and Deuteron--Gold Collisions at RHIC
• Gluon Production from Non-Abelian Weizsäcker-Williams Fields in Nucleus-Nucleus Collisions
• Evolution at small x_bj: The Color Glass Condensate
• The initial energy density of gluons produced in very high energy nuclear collisions
• Early thermalization at RHIC
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
• Non-perturbative computation of gluon mini-jet production in nuclear collisions at very high energies
• Production of gluons in the classical field model for heavy ion collisions
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Parton saturation and N_part scaling of semi--hard processes in QCD
• The Unstable Glasma
• Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
• Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
• Quantum structure of the non-Abelian Weizsacker-Williams field for a very large nucleus
• Nuclear Modification Factor in d+Au Collisions: Onset of Suppression in the Color Glass Condensate
• The onset of classical QCD dynamics in relativistic heavy ion collisions
• Energy Dependence of the Cronin Effect from Non-Linear QCD Evolution
• Classical Gluon Radiation in Ultrarelativistic Nucleus-Nucleus Collisions
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Classical Gluodynamics of High Energy Nuclear Collisions: an Erratum and an Update
• Viscous plasma evolution from gravity using AdS/CFT
• Viscous hydrodynamics relaxation time from AdS/CFT
• A Holographic Dual of Hydrodynamics
• A Gravity Dual of RHIC Collisions
• The RHIC fireball as a dual black hole
• Classical Initial Conditions for Ultrarelativistic Heavy Ion Collisions
• An unusual space-time evolution for heavy ion collisions at high energies due to the QCD phase transition
• How much entropy is produced in strongly coupled Quark-Gluon Plasma (sQGP) by dissipative effects?
• Thermodynamics of AdS/QCD
• Can Thermalization in Heavy Ion Collisions be Described by QCD Diagrams?
• From static to evolving geometries -- R-charged hydrodynamics from supergravity
• Initial fields and instability in the classical model of the heavy-ion collision
• Gravity dual of 1+1 dimensional Bjorken expansion
• Spherically expanding matter in AdS/CFT
• Thoughts on Non-Perturbative Thermalization and Jet Quenching in Heavy Ion Collisions
• Isotropization and Thermalization in Heavy Ion Collisions

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• Causal viscous hydrodynamics in 2+1 dimensions for relativistic heavy-ion collisions
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
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• Symmetry constraints on generalizations of Bjorken flow
• Entropy Current in Conformal Hydrodynamics
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• On the collision of two shock waves in AdS5
• System-size independence of directed flow at the Relativistic Heavy-Ion Collider
• Forced Fluid Dynamics from Gravity
• Boost-invariant early time dynamics from AdS/CFT
• Deep inelastic scattering off a N=4 SYM plasma at strong coupling
• Asymmetric Collision of Two Shock Waves in AdS_5
• 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 Creation in Relativistic Heavy Ion Collisions
• Entropy flow of a perfect fluid in (1+1) hydrodynamics
• The dynamics of quark-gluon plasma and AdS/CFT
• Stress Tensor and Bulk Viscosity in Relativistic Nuclear Collisions
• Heavy Ion Collisions with Transverse Dynamics from Evolving AdS Geometries
• Electrified plasma in AdS/CFT correspondence
• On attractor and fixed points in Bjorken flows
• Pre-Equilibrium Radial Flow from Central Shock-Wave Collisions in AdS5
• Modelling Early Stages of Relativistic Heavy Ion Collisions: Coupling Relativistic Transport Theory to Decaying Color-electric Flux Tubes
• Evolution to the Quark-Gluon Plasma
• Gravitational infall in the hard wall model
• 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
• Extra dimensions, black holes and fireballs at the LHC
• Holographic thermalization in a top-down confining model
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Matching of nonthermal initial conditions and hydrodynamic stage in ultrarelativistic heavy-ion collisions
• Early Time Dynamics in Heavy Ion Collisions from CGC and from AdS/CFT
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• Flavors in an expanding plasma
• Riccati equations for holographic 2-point functions
• Deep Inelastic Scattering from the AdS/CFT correspondence
• Hydrodynamic Flow of the Quark-Gluon Plasma and Gauge/Gravity Correspondence
• Role of nonlocal probes of thermalization for a strongly interacting non-Abelian plasma
• AdS/CFT applications to relativistic heavy ion collisions: a brief review
• Isotropic AdS/CFT fireball
• Casimir energy in the gauge/gravity description of Bjorken flow?
• Matrix Thermalization
• Mini-Black-Hole production at RHIC and LHC
• Long-Range Rapidity Correlations in Heavy Ion Collisions at Strong Coupling from AdS/CFT
• Universal hydrodynamics and charged hadron multiplicity at the LHC
• Thermal nature of charmonium transverse momentum spectra from Au-Au collisions at the highest energies available at the BNL Relativistic Heavy Ion Collider (RHIC)
• Parity asymmetric boost invariant plasma in AdS/CFT correspondence
• Relativistic fluid dynamics in heavy ion collisions
• Shear viscosity in late time of hydrodynamic evolution in AdS/CFT duality
• A short introduction to heavy-ion physics
• Black Topologies Production in Extra Dimensions
• Introduction to String Theory and Gauge/Gravity duality for students in QCD and QGP phenomenology
• Far-from-equilibrium initial conditions probed by a nonlocal observable
• Hydrodynamics of strongly coupled non-conformal fluids from gauge/gravity duality
• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$
• Quark-Gluon Plasma/Black Hole duality from Gauge/Gravity Correspondence