Derives and analyzes a Lindbladian for holographic Brownian motion in BTZ and AdS5 black brane backgrounds from the influence functional.
Transverse Momentum Broadening of a Fast Quark in a $\N=4$ Yang Mills Plasma
5 Pith papers cite this work. Polarity classification is still indexing.
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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 $\hat{q}$.
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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.
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.
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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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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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.