Wilson loops in heavy ion collisions and their calculation in AdS/CFT

Abstract

Expectation values of Wilson loops define the nonperturbative properties of the hot medium produced in heavy ion collisions that arise in the analysis of both radiative parton energy loss and quarkonium suppression. We use the AdS/CFT correspondence to calculate the expectation values of such Wilson loops in the strongly coupled plasma of N=4 super Yang-Mills (SYM) theory, allowing for the possibility that the plasma may be moving with some collective flow velocity as is the case in heavy ion collisions. We obtain the N=4 SYM values of the jet quenching parameter $\hat{q}$, which describes the energy loss of a hard parton in QCD, and of the velocity-dependence of the quark-antiquark screening length for a moving dipole as a function of the angle between its velocity and its orientation. We show that if the quark-gluon plasma is flowing with velocity v_f at an angle theta with respect to the trajectory of a hard parton, the jet quenching parameter $\hat{q}$ is modified by a factor gamma_f(1-v_f cos theta), and show that this result applies in QCD as in N=4 SYM. We discuss the relevance of the lessons we are learning from all these calculations to heavy ion collisions at RHIC and at the LHC. Furthermore, we discuss the relation between our results and those obtained in other theories with gravity duals, showing in particular that the ratio between $\hat{q}$ in any two conformal theories with gravity duals is the square root of the ratio of their central charges. This leads us to conjecture that in nonconformal theories $\hat{q}$ defines a quantity that always decreases along renormalization group trajectories and allows us to use our calculation of $\hat{q}$ in N=4 SYM to make a conjecture for its value in QCD.

61 pages, 8 figures. Note added discussing relation between our work and that in several papers that have appeared recently. References added

References in corpus (51)

• 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
• Real-time static potential in hot QCD
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Holographic Phase Transitions with Fundamental Matter
• Dissipative Hydrodynamics and Heavy Ion Collisions
• Photon and dilepton production in supersymmetric Yang-Mills plasma
• An AdS/CFT Calculation of Screening in a Hot Wind
• 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
• Holographic melting and related properties of mesons in a quark gluon plasma
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in $\mathbb{N}=4$ Yang Mills Theory
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Energy Loss of Heavy Quarks from Asymptotically AdS Geometries
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• The stress tensor of a quark moving through N=4 thermal plasma
• Viscosity of gauge theory plasma with a chemical potential from AdS/CFT correspondence
• The shear viscosity of gauge theory plasma with chemical potentials
• Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
• On jet quenching parameters in strongly coupled non-conformal gauge theories
• Drag Force in a Charged N=4 SYM Plasma
• On Drag Forces and Jet Quenching in Strongly Coupled Plasmas
• Jet quenching at finite `t Hooft coupling and chemical potential from AdS/CFT
• The RHIC fireball as a dual black hole
• Lattice Simulations of the Thermodynamics of Strongly Interacting Elementary Particles and the Exploration of New Phases of Matter in Relativistic Heavy Ion Collisions
• Jet Quenching Parameter in Medium with Chemical Potential from AdS/CFT
• Quarkonium Binding and Dissociation: The Spectral Analysis of the QGP
• Shear viscosity in weakly coupled $\mathcal{N}=4$ Super Yang-Mills theory compared to QCD
• The Polyakov Loop and its Relation to Static Quark Potentials and Free Energies
• Drag force in SYM plasma with B field from AdS/CFT
• Hydrodynamic description of ultrarelativistic heavy-ion collisions
• Screening length in plasma winds
• Drag Force, Jet Quenching, and AdS/QCD
• How does transverse (hydrodynamic) flow affect jet-broadening and jet-quenching ?
• Jet-quenching in a 3D hydrodynamic medium
• The pressure of the SU(N) lattice gauge theory at large-N
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• Toward the AdS/CFT gravity dual for High Energy Collisions: I.Falling into the AdS
• Dissipation from a heavy quark moving through N=4 super-Yang-Mills plasma
• Ampere's Law and Energy Loss in AdS/CFT Duality
• Properties of the Quark Gluon Plasma: A lattice perspective
• Stability of strings binding heavy-quark mesons
• No-Drag String Configurations for Steadily Moving Quark-Antiquark Pairs in a Thermal Bath
• Drag force in a string model dual to large-N QCD
• Enhancing the Jet Quenching Parameter from Marginal Deformations
• Deciphering the properties of the medium produced in heavy ion collisions at RHIC by a pQCD analysis of quenched large $p_{\perp }$ ${\pi }^0$ spectra
• More on the RHIC fireball and dual black holes
• Wake of color fields in charged $\mathcal{N}=4$ SYM plasmas
• High Energy Evolution - The Wave Function Point of View

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