Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma

Abstract

We compute the momentum broadening of a heavy fundamental charge propagating through a $\mathcal{N}=4$ Yang Mills plasma at large t' Hooft coupling. We do this by expressing the medium modification of the probe's density matrix in terms of a Wilson loop averaged over the plasma. We then use the AdS/CFT correspondence to evaluate this loop, by identifying the dual semi-classical string solution. The calculation introduces the type ``1'' and type ``2'' fields of the thermal field theory and associates the corresponding sources with the two boundaries of the AdS space containing a black hole. The transverse fluctuations of the endpoints of the string determine ${\kappa }_T=\sqrt{\gamma \lambda }{T}^3\pi$ -- the mean squared momentum transfer per unit time. ($\gamma$ is the Lorentz gamma factor of the quark.) The result reproduces previous results for the diffusion coefficient of a heavy quark. We compare our results with previous AdS/CFT calculations of $\hat{q}$.

arXiv comment19 pages. v3 references added, validity region corrected

References in corpus (47)

• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Radiative energy loss and $p_{\perp }$-broadening of high energy partons in nuclei
• Radiative energy loss of high energy quarks and gluons in a finite volume quark-gluon plasma
• Suppression of Hadrons with Large Transverse Momentum in Central Au+Au Collisions at $sqrt {s sub {sub {NN}}}_ = 130 GeV
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Flow at the SPS and RHIC as a Quark Gluon Plasma Signature
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Drag force in AdS/CFT
• Radiative energy loss of high energy quarks in finite-size nuclear matter and quark-gluon plasma
• Centrality dependence of high pT hadron suppression in Au+Au collisions at sqrt(sNN)=130 GeV
• Calculating the Jet Quenching Parameter from AdS/CFT
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
• The LPM effect in QCD and Radiative energy loss in a quark-gluon plasma
• Quenching of hadron spectra in media
• Centrality dependence of multiplicity, transverse energy, and elliptic flow from hydrodynamics
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Leading-particle suppression in high energy nucleus-nucleus collisions
• An AdS/CFT Calculation of Screening in a Hot Wind
• The Fragility of High-pT Hadron Spectra as a Hard Probe
• Holographic melting and related properties of mesons in a quark gluon plasma
• Jet Quenching and Radiative Energy Loss in Dense Nuclear Matter
• Gauge/gravity duality and thermalization of a boost-invariant perfect fluid
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Energy Loss of Heavy Quarks from Asymptotically AdS Geometries
• A Gravity Dual of RHIC Collisions
• Expanding plasmas and quasinormal modes of anti-de Sitter black holes
• The stress tensor of a quark moving through N=4 thermal plasma
• 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
• Elliptic Flow, Kasner Universe and Holographic Dual of RHIC Fireball
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• Supergravity and the jet quenching parameter in the presence of R-charge densities
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• Ampere's Law and Energy Loss in AdS/CFT Duality
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• 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
• Power-suppressed Thermal Effects from Heavy Particles

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