Toward Thermalization in Heavy Ion Collisions at Strong Coupling

Abstract

We find the trapped surface for a collision of two sourceless shock waves in AdS${}_5$ and conclude that such collisions always lead to a creation of a black hole in the bulk. Due to holographic correspondence, in the boundary gauge theory this result proves that a thermalized medium (quark-gluon plasma) is produced in heavy ion collisions at strong coupling (albeit in $\mathcal{N}=4$ super-Yang-Mills theory). We present new evidence supporting the analytic estimate for the time of thermalization that exists in the literature and find that thermalization time is parametrically much shorter than the time of shock wave stopping, indicating that our result may be relevant for description of heavy ion collision experiments.

23 pages, 2 figures; v2: typos corrected, references added, version accepted for publication in JHEP

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• On holographic thermalization and gravitational collapse of massless scalar fields
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• Multiplicities from black-hole formation in heavy-ion collisions
• Holographic Thermalization from Kerr-AdS
• On holographic thermalization and gravitational collapse of tachyonic scalar fields
• Heavy Ion Collisions with Transverse Dynamics from Evolving AdS Geometries
• Pre-Equilibrium Radial Flow from Central Shock-Wave Collisions in AdS5
• Holography for Heavy Ions Collisions at LHC and NICA
• Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions
• On the critical condition in gravitational shock wave collision and heavy ion collisions
• Extra dimensions, black holes and fireballs at the LHC
• Azimuthal asymmetries in high-energy collisions of protons with holographic shockwaves
• Time-dependent AdS/CFT correspondence and the Quark-Gluon plasma
• A moving mirror in AdS space as a toy model for holographic thermalization
• R-Current DIS on a Shock Wave: Beyond the Eikonal Approximation
• Shock Wave Collisions and Thermalization in AdS_5
• AdS/CFT applications to relativistic heavy ion collisions: a brief review
• Colliding AdS gravitational shock waves in various dimensions and holography
• Time singularities of correlators from Dirichlet conditions in AdS/CFT
• Time-Dependent Observables in Heavy Ion Collisions II: in Search of Pressure Isotropization in the ${\phi }^4$ Theory
• Mini-Black-Hole production at RHIC and LHC
• Long-Range Rapidity Correlations in Heavy Ion Collisions at Strong Coupling from AdS/CFT
• Entanglement Properties of SU(2) Gauge Theory
• Jet quenching in shock waves
• Evolving Geometries in General Relativity
• Bremsstrahlung and black hole production from collisions of ultra-boosted particles at non-zero impact parameter
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• $q\bar{q}$ Potential at Finite T and Weak Coupling in $\mathcal{N}=4$