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.

59 pages, 16 figures

References in corpus (16)

• Towards a derivation of holographic entanglement entropy
• Holographic representation of local bulk operators
• 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
• An Algebra of Observables for de Sitter Space
• A new exact solution of the relativistic Boltzmann equation and its hydrodynamic limit
• Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
• Hydrodynamic Attractors in Ultrarelativistic Nuclear Collisions
• A semi-holographic model for heavy-ion collisions
• Illustrated study of the semi-holographic non-perturbative framework
• Erasure tolerant quantum memory and the quantum null energy condition in holographic systems
• Understanding the holographic principle via RG flow
• Hydrodynamization in hybrid Bjorken flow attractors
• How Gubser flow ends in a holographic conformal theory
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach

Cited by in corpus (3)

• Hydrodynamic attractor in periodically driven ultracold quantum gases
• Superfluids in expanding backgrounds and attractor times
• Homogeneous isotropization dynamics and entropy production in a hot and dense strongly interacting fluid