Holographic Gubser flow: A combined analytic and numerical study

Abstract

Gubser flow is an evolution with cylindrical and boost symmetries, which can be best studied by mapping the future wedge of Minkowski space (R${}^{3,1}$) to dS${}_3$ $\times$ $\mathbb{R}$ in a conformal relativistic theory. Here, we sharpen our previous analytic results and validate them via the first numerical exploration of the Gubser flow in a holographic conformal field theory. Remarkably, the leading generic behavior at large de Sitter time is free-streaming in transverse directions and the sub-leading behavior is that of a color glass condensate. We also show that Gubser flow can be smoothly glued to the vacuum outside the future Minkowski wedge generically given that the energy density vanishes faster than any power when extrapolated to early proper time or to large distances from the central axis. We find that at intermediate times the ratio of both the transverse and longitudinal pressures to the energy density converge approximately to a fixed point which is hydrodynamic only for large initial energy densities. We argue that our results suggest that the Gubser flow is better applied to collective behavior in jets rather than the full medium in the phenomenology of heavy ion collisions and can reveal new clues to the mechanism of confinement.

arXiv comment59 pages, 16 figures

References in corpus (52)

• Gauge Theory Correlators from Non-Critical String Theory
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Lecture Notes on Holographic Renormalization
• Towards a derivation of holographic entanglement entropy
• Holographic representation of local bulk operators
• Holographic and Wilsonian Renormalization Groups
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• An Algebra of Observables for de Sitter Space
• Symmetry constraints on generalizations of Bjorken flow
• Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Pressure isotropization in high energy heavy ion collisions
• Conformal hydrodynamics in Minkowski and de Sitter spacetimes
• Entanglement entropy in de Sitter space
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Wilsonian Approach to Fluid/Gravity Duality
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
• Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
• Thermodynamics, transport and relaxation in non-conformal theories
• Hydrodynamic attractors in heavy ion collisions: a review
• Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
• Holographic spacetime, black holes and quantum error correcting codes: A review
• Holographic Collisions in Non-conformal Theories
• Anisotropic fluid dynamics for Gubser flow
• Gravitational collapse and thermalization in the hard wall model
• Hydrodynamic attractors for Gubser flow
• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• The unconditional RG flow of the relativistic holographic fluid
• Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
• A semi-holographic model for heavy-ion collisions
• Late time behavior of non-conformal plasmas
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• Quantum thermodynamics of holographic quenches and bounds on the growth of entanglement from the QNEC
• Illustrated study of the semi-holographic non-perturbative framework
• Hybrid Fluid Models from Mutual Effective Metric Couplings
• Time evolution of a toy semiholographic glasma
• Holography as a highly efficient RG flow I: Rephrasing gravity
• Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
• Erasure tolerant quantum memory and the quantum null energy condition in holographic systems
• Holography as a highly efficient RG flow II: An explicit construction
• Understanding the holographic principle via RG flow
• Hydrodynamization in hybrid Bjorken flow attractors
• Exact time dependence of causal correlations and nonequilibrium density matrices in holographic systems
• How Gubser flow ends in a holographic conformal theory
• Thermalization & hydrodynamics in Bjorken & Gubser flows
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach

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