Five Easy Pieces: The Dynamics of Quarks in Strongly Coupled Plasmas

Abstract

We revisit the analysis of the drag a massive quark experiences and the wake it creates at a temperature T while moving through a plasma using a gravity dual that captures the renormalisation group runnings in the dual gauge theory. Our gravity dual has a black hole and seven branes embedded via Ouyang embedding, but the geometry is a deformation of the usual conifold metric. In particular the gravity dual has squashed two spheres, and a small resolution at the IR. Using this background we show that the drag of a massive quark receives corrections that are proportional to powers of log T when compared with the drag computed using AdS/QCD correspondence. We use the perturbation produced by the quark strings to compute the wake and compare with the results obtained using AdS/QCD correspondence. We also study the shear viscosity with running couplings, analyze the viscosity to entropy ratio and compare the result with the known bound. In the presence of higher order curvature square corrections from the back-reactions of the embedded D7 branes, we argue the possibility of the entropy to viscosity bound being violated. Finally, we show that our set-up could in-principle allow us to study a family of gauge theories at the boundary by cutting off the dual geometry respectively at various points in the radial direction. All these gauge theories can have well defined UV completions, and more interestingly, we demonstrate that any thermodynamical quantities derived from these theories would be completely independent of the cut-off scale and only depend on the temperature at which we define these theories. Such a result would justify the holographic renormalisabilities of these theories which we, in turn, also demonstrate. We give physical interpretations of these results and compare them with more realistic scenarios.

130 pages, 12 eps figures, LaTex; v4: final version with corrected typos, numerous additional references and enlargement of some sections. The published version, that appears in Nucl. Phys. B, differs slightly in section 3 where there is more emphasis on holographic renormalisabilty and less on the wake, compared to this version

References in corpus (122)

• Gauge Theory Correlators from Non-Critical String Theory
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Supergravity and a Confining Gauge Theory: Duality Cascades and $\chi$SB-Resolution of Naked Singularities
• Eternal Black Holes in AdS
• Lecture Notes on Holographic Renormalization
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Evidence for F-Theory
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Superconformal Field Theory on Threebranes at a Calabi-Yau Singularity
• Adding flavor to AdS/CFT
• From AdS/CFT correspondence to hydrodynamics
• Hard Scattering and Gauge/String Duality
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Type IIB superstring action in AdS_5 x S^5 background
• Towards the large N limit of pure N=1 super Yang Mills
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• On Black Hole Entropy
• Transport coefficients in high temperature gauge theories: (II) Beyond leading log
• Drag force in AdS/CFT
• Transport coefficients in high temperature gauge theories: (I) Leading-log results
• Gravity Duals of Supersymmetric SU(N) x SU(N+M) Gauge Theories
• Viscosity Bound Violation in Higher Derivative Gravity
• F-theory and Orientifolds
• Viscosity Bound and Causality Violation
• Superstrings and Topological Strings at Large N
• Brane Dynamics From the Born-Infeld Action
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• I-Brane Inflow and Anomalous Couplings on D-Branes
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Mesons in Gauge/Gravity Duals - A Review
• Deep Inelastic Scattering and Gauge/String Duality
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Static quark-antiquark pairs at finite temperature
• Holographic Probes of Anti-de Sitter Spacetimes
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang-Mills theory
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Thermodynamics of the QCD plasma and the large-N limit
• Heavy-Quark Potentials and AdS/QCD
• Beyond eta/s = 1/4pi
• Wilson Loops in the Large N Limit at Finite Temperature
• Real-time gauge/gravity duality
• Spacetime and the Holographic Renormalization Group
• Gauge/Gravity Duals with Holomorphic Dilaton
• Asymptotically Anti-de Sitter spacetimes and their stress energy tensor
• F-Theory at Constant Coupling
• Towards the String Dual of N=1 SQCD-like Theories
• Holomorphic D7-Branes and Flavored N=1 Gauge Theories
• Summing up D-Instantons
• Curvature terms in D-brane actions and their M-theory origin
• Wilson Loops, Confinement, and Phase Transitions in Large N Gauge Theories from Supergravity
• On universality of stress-energy tensor correlation functions in supergravity
• The Baryonic Branch of Klebanov-Strassler Solution: a Supersymmetric Family of SU(3) Structure Backgrounds
• QCD/String holographic mapping and glueball mass spectrum
• Holographic Renormalization of Probe D-Branes in AdS/CFT
• Quantum corrections to eta/s
• Gauge/string duality and scalar glueball mass ratios
• Backreacting Flavors in the Klebanov-Strassler Background
• Unquenched Flavors in the Klebanov-Witten Model
• Small Shear Viscosity of a Quark-Gluon Plasma Implies Strong Jet Quenching
• The Spatial String Tension, Thermal Phase Transition, and AdS/QCD
• Heterotic / type I duality and D-brane instantons
• Universal holographic hydrodynamics at finite coupling
• Anomalous couplings for D-branes and O-planes
• Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
• Gravitational Couplings and $Z_2$ Orientifolds
• The wake of a quark moving through a strongly-coupled $\mathcal{N}=4$ supersymmetric Yang-Mills plasma
• The stress-energy tensor of a quark moving through a strongly-coupled N=4 supersymmetric Yang-Mills plasma: comparing hydrodynamics and AdS/CFT
• Sonic booms and diffusion wakes generated by a heavy quark in thermal AdS/CFT
• Holographic Duals of Long Open Strings
• On a Holographic Model for Confinement/Deconfinement
• Geometric Transition, Large N Dualities and MQCD Dynamics
• The D3/D7 Background and Flavor Dependence of Regge Trajectories
• Holographic renormalization of cascading gauge theories
• A New Approach to String Cosmology
• Non-Extremal Gravity Duals for Fractional D3-Branes on the Conifold
• Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• Is there a "most perfect fluid" consistent with quantum field theory?
• Gravitational Couplings of D-branes and O-planes
• Klebanov-Witten theory with massive dynamical flavors
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• On Heavy-Quark Free Energies, Entropies, Polyakov Loop, and AdS/QCD
• Heterotic/Type-I Duality in D<10 Dimensions, Threshold Corrections and D-Instantons
• The Klebanov-Strassler model with massive dynamical flavors
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Holography and Unquenched Quark-Gluon Plasmas
• In the Realm of the Geometric Transitions
• Geometric Transition versus Cascading Solution
• Static strings in Randall-Sundrum scenarios and the quark anti-quark potential
• Heavy quark potential at finite temperature from gauge/string duality
• (Non-)Anomalous D-brane and O-plane couplings: the normal bundle
• A sticky business: the status of the conjectured viscosity/entropy density bound
• Gluon Condensate, Wilson Loops and Gauge/String Duality
• Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential
• Comment on "Is There a "Most Perfect Fluid" Consistent with Quantum Field Theory?"
• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
• Calculable e^{-1/λ} Effects
• On quark masses in holographic QCD
• Conifolds and Geometric Transitions
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• UV-divergences of Wilson Loops for Gauge/Gravity Duality
• Short distance properties of cascading gauge theories
• Notes on a SQCD-like plasma dual and holographic renormalization
• Anomaly Inflow on Orientifold Planes
• D-terms on the resolved conifold
• An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• The status of the KSS bound and its possible violations (How perfect can a fluid be?)
• Black Holes in Cascading Theories: Confinement/Deconfinement Transition and other Thermal Properties
• Black Holes with Varying Flux: A Numerical Approach
• Towards Holographic Renormalization of Fake Supergravity

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• $\eta /s$ at finite coupling
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• Renormalization Group Flow, Stability, and Bulk Viscosity in a Large N Thermal QCD Model
• Towards New Classes of Flux Compactifications
• Application of top-down holographic thermal QCD at finite coupling
• A companion to "Non-Kähler Deformed Conifold, Ultra-Violet Completion and Supersymmetric Constraints in the Baryonic Branch"
• String/$\mathcal{M}$-theory Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology
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