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.

v2 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 (18)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• 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
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• Strongly coupled plasma with electric and magnetic charges
• Viscous hydrodynamics relaxation time from AdS/CFT
• A Holographic Dual of Hydrodynamics
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• On jet quenching parameters in strongly coupled non-conformal gauge theories
• 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
• Cusped SYM Wilson loop at two loops and beyond
• Gravity dual of 1+1 dimensional Bjorken expansion

Cited by in corpus (17)

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• Heavy Ion Collisions with Transverse Dynamics from Evolving AdS Geometries
• 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
• Unleashing the full power of LHCb to probe Stealth New Physics
• Collisions with Black Holes and Deconfined Plasmas
• Stress Tensor of Static Dipoles in strongly coupled $\mathcal{N}$=4 Gauge Theory
• The origin of thermal component in the transverse momentum spectra in high energy hadronic processes
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Quark-Gluon Plasma - New Frontiers
• Quarkonium dissociation in a far-from-equilibrium holographic setup
• Isotropic AdS/CFT fireball
• Gradient Correction to Photon Emission Rate at Strong Coupling
• Black holes and the quark-gluon plasma