Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS

Abstract

In the context of the AdS/CFT correspondence we discuss the gravity dual of a high energy collision in a strongly coupled $\mathcal{N}=4$ SYM gauge theory. We suggest a setting in which two colliding objects are made of non-dynamical heavy quarks and antiquarks, which allows to treat the process in classical string approximation. Collision ``debris'' consist of closed as well as open strings. If the latter have ends on two outgoing charges, and thus are being ``stretched'' along the collision axes. We discuss motion in AdS of some simple objects first -- massless and massive particles -- and then focus on open strings. We study the latter in a considerable detail, concluding that they rapidly become ``rectangular'' in proper time -spatial rapidity $\tau -y$ coordinates with well separated fragmentation part and a near-free-falling rapidity-independent central part. Assuming that in the collisions of ``walls'' of charges multiple stretching strings are created, we also consider the motion of a 3d stretching membrane. We then argue that a complete solution can be approximated by two different vacuum solutions of Einstein eqns, with matter membrane separating them. We identify one of this solution with Janik-Peschanski stretching black hole solution, and show that all objects approach its (retreating) horizon in an universal manner.

arXiv commentv2 was redone, with new material and different introduction. It now includes introduction to the second paper of the series as well, in which we calculate "holograms" of falling objects, namely their stress tensor on the boundary

References in corpus (45)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Wilson loops in large N field theories
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Adding flavor to AdS/CFT
• Hard Scattering and Gauge/String Duality
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Calculating the Jet Quenching Parameter from AdS/CFT
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Collective Flow signals the Quark Gluon Plasma
• Simulating elliptic flow with viscous hydrodynamics
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Coupling Constant Dependence in the Thermodynamics of N=4 Supersymmetric Yang-Mills Theory
• Asymptotic perfect fluid dynamics as a consequence of AdS/CFT
• Operators with large R charge in N=4 Yang-Mills theory
• Rethinking the Properties of the Quark-Gluon Plasma at $T\sim T_c$
• Black Holes, Shock Waves, and Causality in the AdS/CFT Correspondence
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Strongly coupled plasma with electric and magnetic charges
• Classical Gluodynamics of High Energy Nuclear Collisions: an Erratum and an Update
• Conical Flow induced by Quenched QCD Jets
• Viscous hydrodynamics relaxation time from AdS/CFT
• Vacua, Propagators, and Holographic Probes in AdS/CFT
• A Holographic Dual of Hydrodynamics
• A Gravity Dual of RHIC Collisions
• Plasma-balls in large N gauge theories and localized black holes
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• Effective theories and black hole production in warped compactifications
• On jet quenching parameters in strongly coupled non-conformal gauge theories
• Black Hole Creation in 2+1 Dimensions
• How much entropy is produced in strongly coupled Quark-Gluon Plasma (sQGP) by dissipative effects?
• On the supergravity description of boost invariant conformal plasma at strong coupling
• Dissipation from a heavy quark moving through N=4 super-Yang-Mills plasma
• Understanding the Non-Perturbative Deep-Inelastic Scattering: Instanton-induced Inelastic Dipole-Dipole Cross Section
• Polymer Chains and Baryons in a Strongly Coupled Quark-Gluon Plasma
• Cusped SYM Wilson loop at two loops and beyond
• Understanding the Strong Coupling Limit of the $\mathcal{N}=4$ Supersymmetric Yang-Mills at Finite Temperature
• Strongly Coupled Quark-Gluon Plasma: The Status Report
• Gravity dual of 1+1 dimensional Bjorken expansion
• Spin-Spin and Spin-Orbit Interactions in Strongly Coupled Gauge Theories

Cited by in corpus (39)

• Physics of Strongly coupled Quark-Gluon Plasma
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Holographic Thermalization
• Heavy Ion Collisions: Achievements and Challenges
• Entropy Current in Conformal Hydrodynamics
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Light quark energy loss in strongly-coupled N = 4 supersymmetric Yang-Mills plasma
• On the collision of two shock waves in AdS5
• Forced Fluid Dynamics from Gravity
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• Thermal radiation and entanglement in proton-proton collisions at the LHC
• Toward the AdS/CFT Gravity Dual for High Energy Collisions. 3.Gravitationally Collapsing Shell and Quasiequilibrium
• Entropy Creation in Relativistic Heavy Ion Collisions
• Heavy Ion Collisions with Transverse Dynamics from Evolving AdS Geometries
• Flows and polarization of early photons with magnetic field at strong coupling
• Toward the AdS/CFT Gravity Dual for High Energy Collisions: II. The Stress Tensor on the Boundary
• Di-Jet Conical Correlations Associated with Heavy Quark Jets in anti--de Sitter Space/Conformal Field Theory Correspondence
• Holographic dilepton production in a thermalizing plasma
• Unleashing the full power of LHCb to probe Stealth New Physics
• Pre-Equilibrium Radial Flow from Central Shock-Wave Collisions in AdS5
• Out-of-Equilibrium Chiral Magnetic Effect at Strong Coupling
• Holographic entropy and real-time dynamics of quarkonium dissociation in non-Abelian plasma
• Collisions with Black Holes and Deconfined Plasmas
• The origin of thermal component in the transverse momentum spectra in high energy hadronic processes
• Stress Tensor of Static Dipoles in strongly coupled $\mathcal{N}$=4 Gauge Theory
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Quark-Gluon Plasma - New Frontiers
• Quarkonium dissociation in a far-from-equilibrium holographic setup
• Collective String Interactions in AdS/QCD and High-Multiplicity pA Collisions
• Lectures on nonperturbative QCD ( Nonperturbative Topological Phenomena in QCD and Related Theories)
• Isotropic AdS/CFT fireball
• Structure function of holographic quark-gluon plasma: Sakai-Sugimoto model versus its non-critical version
• Universal hydrodynamics and charged hadron multiplicity at the LHC
• Dissipative Bjorken hydrodynamics from an AdS Schwarzschild black hole
• Jet Quenching via Gravitational Radiation in Thermal AdS
• Gradient Correction to Photon Emission Rate at Strong Coupling
• Toward the AdS/CFT dual of the "Little Bang"
• Recent Theoretical Developments in Strongly Coupled QCD
• Black holes and the quark-gluon plasma