A semi-holographic model for heavy-ion collisions

Abstract

We develop a semi-holographic model for the out-of-equilibrium dynamics during the partonic stages of an ultrarelativistic heavy-ion collision. The model combines a weakly-coupled hard sector, involving gluon modes with energy and momenta of the order of the saturation momentum and relatively large occupation numbers, with a strongly-coupled soft sector, which physically represents the soft gluons radiated by the hard partons. The hard sector is described by perturbative QCD, more precisely, by its semi-classical approximation (the classical Yang-Mills equations) which becomes appropriate when the occupation numbers are large. The soft sector is described by a marginally deformed conformal field theory, which in turn admits a holographic description in terms of classical Einstein's equations in $Ad{S}_5$ with a minimally coupled massless `dilaton'. The model involve two free parameters which characterize the gauge-invariant couplings between the hard and soft sectors. Via these couplings, the hard modes provide dynamical sources for the gravitational equations at the boundary of $Ad{S}_5$ and feel the feedback of the latter as additional soft sources in the classical Yang-Mills equations. Importantly, the initial conditions for this coupled dynamics are fully determined by the hard sector alone, i.e. by perturbative QCD, and are conveniently given by the color glass condensate (CGC) effective theory. We also develop a new semi-holographic picture of jets in the QGP by attaching a non-Abelian charge to the endpoint of the trailing string in $Ad{S}_5$ representing a heavy quark. This leads to modified Nambu-Goto equations for the string which govern the (collisional and radiative) energy loss by the heavy quark towards both hard and soft modes.

arXiv comment32+1 pages; references added, matches with JHEP version

References in corpus (61)

• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Nonlinear Fluid Dynamics from Gravity
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• QCD and a Holographic Model of Hadrons
• The Color Glass Condensate
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Hard Scattering and Gauge/String Duality
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Bottom-up thermalization in heavy ion collisions
• Lectures on supersymmetric gauge theories and electric-magnetic duality
• Photon and Gluon Emission in Relativistic Plasmas
• Some Features of the Glasma
• Exploring improved holographic theories for QCD: Part I
• Holographic and Wilsonian Renormalization Groups
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Effective Kinetic Theory for High Temperature Gauge Theories
• Holography and colliding gravitational shock waves in asymptotically AdS_5 spacetime
• Production of gluons in the classical field model for heavy ion collisions
• Coherent gluon production in very high energy heavy ion collisions
• Numerical solution of gravitational dynamics in asymptotically anti-de Sitter spacetimes
• Momentum fluctuations of heavy quarks in the gauge-string duality
• Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma
• Hydrodynamic gradient expansion in gauge theory plasmas
• Semi-Holographic Fermi Liquids
• A Hybrid Strong/Weak Coupling Approach to Jet Quenching
• Pressure isotropization in high energy heavy ion collisions
• A fully dynamical simulation of central nuclear collisions
• From full stopping to transparency in a holographic model of heavy ion collisions
• Thermalization in Weakly Coupled Nonabelian Plasmas
• Jet evolution in the N=4 SYM plasma at strong coupling
• Gauge/string duality and scalar glueball mass ratios
• Energy density of the Glasma
• Strong coupling isotropization of non-Abelian plasmas simplified
• On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers
• Semi-classical transport theory for non-Abelian plasmas
• Approach to equilibrium in weakly coupled nonabelian plasmas
• Comparing energy loss and $p_{\perp }$-broadening in perturbative QCD with strong coupling $\mathcal{N}=4$ SYM theory
• Holographic isotropization linearized
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• Boost-invariant early time dynamics from AdS/CFT
• On the exact solution of the accelerating string in $Ad{S}_5$ space
• Shock wave collisions in AdS5: approximate numerical solutions
• Bjorken Flow, Plasma Instabilities, and Thermalization
• Modeling Heavy Ion Collisions in AdS/CFT
• Quantum Renormalization Group and Holography
• Stochastic trailing string and Langevin dynamics from AdS/CFT
• A Holographic Dual of Bjorken Flow
• On holographic thermalization and gravitational collapse of massless scalar fields
• Radiation by a heavy quark in N=4 SYM at strong coupling
• Holographic dilepton production in a thermalizing plasma
• Heavy quark energy loss far from equilibrium in a strongly coupled collision
• The unconditional RG flow of the relativistic holographic fluid
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• On the universal hydrodynamics of strongly coupled CFTs with gravity duals
• Hydro overview
• Phenomenological characterisation of semi-holographic non-Fermi liquids
• No Line on the Horizon: On Uniform Acceleration and Gluonic Fields at Strong Coupling
• Separating hard and soft scales in hard processes in a QCD plasma
• The Boltzmann Equation in Classical Yang-Mills Theory

Cited by in corpus (25)

• QCD thermalization: Ab initio approaches and interdisciplinary connections
• Predictions for Boson-Jet Observables and Fragmentation Function Ratios from a Hybrid Strong/Weak Coupling Model for Jet Quenching
• Holographic modeling of nuclear matter and neutron stars
• Hydrodynamic attractors in heavy ion collisions: a review
• Paths to equilibrium in non-conformal collisions
• Holographic heavy ion collisions with baryon charge
• Exploring nonlocal observables in shock wave collisions
• Illustrated study of the semi-holographic non-perturbative framework
• Hybrid Fluid Models from Mutual Effective Metric Couplings
• Time evolution of a toy semiholographic glasma
• Hydrodynamic attractor of a hybrid viscous fluid in Bjorken flow
• Time-dependence of the holographic spectral function: Diverse routes to thermalisation
• Holography as a highly efficient RG flow II: An explicit construction
• Quasinormal modes of a semi-holographic black brane and thermalization
• Density response and collective modes of semi-holographic non-Fermi liquids
• Time-dependent $NAd{S}_2$ holography with applications
• $SL(2,R)$ lattices as information processors
• Understanding the holographic principle via RG flow
• Hydrodynamization in hybrid Bjorken flow attractors
• Holographic Gubser flow: A combined analytic and numerical study
• How Gubser flow ends in a holographic conformal theory
• Holographic Wilsonian renormalization of a heavy quark moving through a strongly coupled plasma
• Colliding poles with colliding nuclei
• Hybrid thermalization in the large $N$ limit
• Semiholography for heavy ion collisions