Sensitivity of holographic ${\cal N}=4$ SYM plasma hydrodynamics to finite coupling corrections

TL;DR

This paper investigates how finite coupling corrections influence the hydrodynamic behavior of holographic ${ m N}=4$ SYM plasma, revealing extreme sensitivity of non-hydrodynamic spectra to higher-order corrections and challenging previous assumptions.

Contribution

It demonstrates the high sensitivity of non-hydrodynamic spectra to ${ m O}(rac{1}{ ext{coupling}^3)}$ corrections, highlighting limitations of current resummation approaches.

Findings

Non-hydrodynamic spectra are highly sensitive to ${ m O}(rac{1}{ ext{coupling}^3)}$ corrections.

Resummation of ${ m O}(rac{1}{ ext{coupling}^{3/2})}$ corrections may be unreliable.

Finite coupling effects significantly alter plasma hydrodynamics beyond previous estimates.

Abstract

Gauge theory/string theory holographic correspondence for ${\cal N}=4$ supersymmetric Yang-Mills theory is well under control in the planar limit, and for large (infinitely large) 't Hooft coupling, $\lambda\to \infty$. Certain aspects of the correspondence can be extended including ${\cal O}(\lambda^{-3/2})$ corrections. There are no reliable first principle computations of the ${\cal N}=4$ plasma non-equilibrium properties beyond the stated order. We show extreme sensitivity of the non-hydrodynamic spectra of holographic ${\cal N}=4$ SYM plasma to ${\cal O}(\lambda^{-3})$ corrections, challenging any conclusions reached from 'resummation' of ${\cal O}(\lambda^{-3/2})$ corrections.