Chaos of QCD string from holography

Abstract

It is challenging to quantify chaos of QCD, because non-perturbative QCD accompanies non-local observables. By using holography, we find that QCD strings at large $N_c$ and strong coupling limit exhibit chaos, and measure their Lyapunov exponent at zero temperature. A pair of a quark and an antiquark separated by $L_q$ in the large $N_c$ QCD is dual to a Nambu-Goto string hanging from the spatial boundary of the D4-soliton geometry. We numerically solve the motion of the string after putting a pulse force on its boundaries. The chaos is observed for the amplitude of the force larger than a certain lower bound. The bound increases as $L_q$ grows, and its dependence is well approximated by a hypothesis that the chaos originates in the endpoints of the QCD string.

arXiv comment12 pages, 13 figures

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• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• Phenomenological implications of asymmetric $Ad{S}_5$ shockwave collision studies for heavy ion physics
• Chaotic spin chains in AdS/CFT
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