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 (55)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Drag force in AdS/CFT
• Viscosity Bound Violation in Higher Derivative Gravity
• Viscosity Bound and Causality Violation
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Mesons in Gauge/Gravity Duals - A Review
• Static quark-antiquark pairs at finite temperature
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge 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
• Real-time gauge/gravity duality
• Towards the String Dual of N=1 SQCD-like Theories
• Quantum corrections to eta/s
• 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
• Universal holographic hydrodynamics at finite coupling
• Wald's entropy is equal to a quarter of the horizon area in units of the effective gravitational coupling
• 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
• 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?
• Klebanov-Witten theory with massive dynamical flavors
• 1/N Effects in Non-Relativistic Gauge-Gravity Duality
• On Heavy-Quark Free Energies, Entropies, Polyakov Loop, and AdS/QCD
• The Klebanov-Strassler model with massive dynamical flavors
• Holography and Unquenched Quark-Gluon Plasmas
• Heavy quark potential at finite temperature from gauge/string duality
• 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?"
• On quark masses in holographic QCD
• Conifolds and Geometric Transitions
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Short distance properties of cascading gauge theories
• UV-divergences of Wilson Loops for Gauge/Gravity Duality
• Notes on a SQCD-like plasma dual and holographic renormalization
• D-terms on the resolved conifold
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• Black Holes in Cascading Theories: Confinement/Deconfinement Transition and other Thermal Properties
• The status of the KSS bound and its possible violations (How perfect can a fluid be?)
• Towards Holographic Renormalization of Fake Supergravity
• Black Holes with Varying Flux: A Numerical Approach

Cited by in corpus (59)

• From Navier-Stokes To Einstein
• Holographic Hydrodynamics with a Chemical Potential
• D3-D7 Quark-Gluon Plasmas
• Viscous photons in relativistic heavy ion collisions
• D3-D7 Quark-Gluon Plasmas at Finite Baryon Density
• MARTINI for heavy quarks: initialization, parton evolution, and hadronization with event generation
• Holographic modeling of nuclear matter and neutron stars
• The Hawking-Page crossover in noncommutative anti-deSitter space
• Holographic Lessons for Quark Dynamics
• QCD on a small circle
• Toward Large N Thermal QCD from Dual Gravity: The Heavy Quarkonium Potential
• Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes
• Screening effects on meson masses from holography
• Hydrodynamics of the cascading plasma
• Bulk Viscosity at Extreme Limits: From Kinetic Theory to Strings
• Heavy Quarkonium Melting in Large N Thermal QCD
• Supersymmetric Configurations, Geometric Transitions and New Non-Kahler Manifolds
• Jet Quenching in Non-Conformal Holography
• Towards MQGP
• Early-Time Energy Loss in a Strongly-Coupled SYM Plasma
• Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors
• On Aspects of Holographic Thermal QCD at Finite Coupling
• Deconfinement Temperature of Rotating QGP at Intermediate Coupling from $\mathcal{M}$-Theory
• Scalar and vector mesons of flavor chiral symmetry breaking in the Klebanov-Strassler background
• Moduli and electromagnetic black brane holography
• Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD
• Transport Coefficients of Black MQGP M3-Branes
• Unquenched flavor in the gauge/gravity correspondence
• The QCD Trace Anomaly at Strong Coupling from M-Theory
• New Insights into Properties of Large-N Holographic Thermal QCD at Finite Gauge Coupling at (the Non-Conformal/Next-to) Leading Order in N
• Bulk spectral functions in single and multi-scalar gravity duals
• Velocity-induced Heavy Quarkonium Dissociation using the gauge-gravity correspondence
• Viscosity bound for anisotropic superfluids in higher derivative gravity
• Top-Down Holographic $G$-Structure Glueball Spectroscopy at (N)LO in $N$ and Finite Gauge Coupling
• Delocalized SYZ Mirrors and Confronting Top-Down $SU(3)$-Structure Holographic Meson Masses at Finite $g$ and $N_c$ with P(article) D(ata) G(roup) Values
• M-Theory Exotic Scalar Glueball Decays to Mesons at Finite Coupling
• Holographic QCD model for $N_f=4$
• (Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to $\mathcal{O}(p^4)$ and the $\mathcal{O}\left(R^4\right)$-Large-$N$ Connection
• $\eta /s$ at finite coupling
• Toward the Gravity Dual of Heterotic Small Instantons
• Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry
• Can holography reproduce the QCD Wilson line?
• $\mathcal{M}$cTEQ ($\mathcal{M}$ $\mathbf{c}$hiral perturbation theory-compatible deconfinement $\mathbf{T}$emperature and $\mathbf{E}$ntanglement Entropy up to terms $\mathbf{Q}$uartic in curvature) and FM ($\mathbf{F}$lavor $\mathbf{M}$emory)
• A UV complete model of Large N Thermal QCD
• A holographic model for large N thermal QCD
• The Double Life of Thermal QCD
• On $\mathcal{M}$-Theory Dual of Large-$N$ Thermal QCD-Like Theories up to $\mathcal{O}(R^4)$ and $G$-Structure Classification of Underlying Non-Supersymmetric Geometries
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD
• Jet quenching and the gravity dual
• Backreaction effects due to matter coupled higher derivative gravity
• Non extremal geometries and holographic phase transitions
• Thermodynamics of large N gauge theory from top down holography
• 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
• Topics in Supergravity Phenomenology
• Vector Meson Spectrum from top-down Holographic QCD