Derives and analyzes a Lindbladian for holographic Brownian motion in BTZ and AdS5 black brane backgrounds from the influence functional.
Heavy Quark Diffusion in Strongly Coupled $\N=4$ Yang Mills
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We express the heavy quark diffusion coefficient as the temporal variation of a Wilson line along the Schwinger-Keldysh contour. This generalizes the classical formula for diffusion as a force-force correlator to a non-abelian theory. We use this formula to compute the diffusion coefficient in strongly coupled $\N=4$ Yang-Mills by studying the fluctuations of a string in $AdS_5\times S_5$. The string solution spans the full Kruskal plane and gives access to contour correlations. The diffusion coefficient is $D=2/\sqrt{\lambda} \pi T$ and is therefore parametrically smaller than momentum diffusion, $\eta/(e+p)=1/4\pi T$. The quark mass must be much greater than $T\sqrt{\lambda}$ in order to treat the quark as a heavy quasi-particle. The result is discussed in the context of the RHIC experiments.
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UNVERDICTED 10representative citing papers
Lattice simulations of a 3D effective gluonic plasma theory produce the first reported momentum dependence of heavy quark drag and diffusion coefficients in a non-perturbative non-Abelian thermal medium.
First simultaneous Bayesian extraction of 2πT D_s and q-hat/T^3 from D-meson R_AA and v2 at 5.02 TeV, yielding a non-monotonic temperature dependence in their ratio that deviates from the expected value of 2.
Heavy-quark momentum transfer beyond leading logarithm in weak-coupling plasmas is non-Gaussian with asymmetric exponential tails, matching the structure seen in strongly coupled holographic plasmas.
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
A kernel-derived orthogonal basis enables controlled approximation of spectral functions and low-energy transport coefficients from Euclidean correlators without priors.
Exact and perturbative drag forces are derived for heavy quarks in holographic plasmas dual to charged rotating 5D black holes, with regularity conditions fixing integration constants and yielding finite anisotropic corrections.
Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficients via butterfly velocity.
Derives quadratic effective actions for heavy quarks in confinement (quark-antiquark pair) and deconfinement (single moving quark) using the SvR holographic SK framework.
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.
citing papers explorer
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A Lindbladian for holographic Brownian motion
Derives and analyzes a Lindbladian for holographic Brownian motion in BTZ and AdS5 black brane backgrounds from the influence functional.
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Momentum Dependence of Heavy Quark Diffusion in a Thermal Gluonic Plasma on the Lattice
Lattice simulations of a 3D effective gluonic plasma theory produce the first reported momentum dependence of heavy quark drag and diffusion coefficients in a non-perturbative non-Abelian thermal medium.
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Bayesian Inference of Heavy-Quark Dissipation and Jet Transport Parameters from D-Meson observables in heavy-ion collisions at the LHC energies
First simultaneous Bayesian extraction of 2πT D_s and q-hat/T^3 from D-meson R_AA and v2 at 5.02 TeV, yielding a non-monotonic temperature dependence in their ratio that deviates from the expected value of 2.
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Heavy Quark Transport is Non-Gaussian Beyond Leading Log
Heavy-quark momentum transfer beyond leading logarithm in weak-coupling plasmas is non-Gaussian with asymmetric exponential tails, matching the structure seen in strongly coupled holographic plasmas.
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Stochastic Dynamics of Heavy Quarks in Strongly Coupled Plasma
Kolmogorov dynamics for heavy quarks in hot plasma shows significantly delayed large-momentum equilibration compared to Fokker-Planck with matched drag, due to rare low-momentum-loss events.
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A kernel-derived orthogonal basis for spectral functions from Euclidean correlators
A kernel-derived orthogonal basis enables controlled approximation of spectral functions and low-energy transport coefficients from Euclidean correlators without priors.
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Anisotropic drag force in finite-density QGP from charged rotating 5D black holes
Exact and perturbative drag forces are derived for heavy quarks in holographic plasmas dual to charged rotating 5D black holes, with regularity conditions fixing integration constants and yielding finite anisotropic corrections.
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Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background
Holographic calculation of longitudinal and transverse diffusion coefficients for Brownian motion in a boosted AdS black brane, with verification of the fluctuation-dissipation theorem and expression of the coefficients via butterfly velocity.
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Holographic Schwinger-Keldysh effective action for heavy quarks in confinement and deconfinement phases
Derives quadratic effective actions for heavy quarks in confinement (quark-antiquark pair) and deconfinement (single moving quark) using the SvR holographic SK framework.
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Spin dynamics and polarization in relativistic systems: recent developments
The review summarizes developments in spin hydrodynamics, polarization from spin-vorticity coupling, pseudo-gauge freedom, and heavy-flavor spin dynamics in relativistic systems.