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Universal turbulence on branes in holography. (English) Zbl 1388.83259

Summary: 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 \(\epsilon_{n} (\omega_{n})^{\alpha}\) 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.

MSC:

83C47 Methods of quantum field theory in general relativity and gravitational theory
83C57 Black holes
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