For a warped AdS background with a GKP string vacuum, the author argues that the particle-side integrability constraint on the warp factor derivative g''(0) equals the worldsheet S-matrix factorization constraint on the same quantity.
Chaos of QCD string from holography
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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.
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Analytic Non-Integrability and S-Matrix Factorization
For a warped AdS background with a GKP string vacuum, the author argues that the particle-side integrability constraint on the warp factor derivative g''(0) equals the worldsheet S-matrix factorization constraint on the same quantity.