Universal turbulence on branes in holography

TL;DR

This paper demonstrates that the turbulence power law in holographic meson systems at criticality is universal and depends solely on the probe brane cone dimensions, regardless of the transition driving method.

Contribution

It reveals the universality of turbulence power-law behavior in holographic QCD mesons and links it to probe brane geometry, advancing understanding of meson dynamics in holography.

Findings

Turbulence power law is universal across different critical transitions.

The turbulence power depends only on probe brane cone dimensions.

Numerical calculations confirm the universality of the turbulence exponent.

Abstract

At a meson melting transition in holographic QCD, a weak turbulence of mesons was found with critical embeddings of probe D-branes in gravity duals. The turbulent mesons have a power-law energy distribution $\varepsilon_n \propto (\omega_n)^\alpha$ where $\omega_n$ is the mass of the $n$-th excited resonance of the meson tower. In this paper, we find that the turbulence power $\alpha$ is universal, irrespective of how the transition is driven, by numerically calculating the power in various static brane setups at criticality. We also find that the power $\alpha$ depends only on the cone dimensions of the probe D-branes.