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Chaos of QCD string from holography

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arxiv 1903.04718 v1 pith:2FA2WWH3 submitted 2019-03-12 hep-th

classification hep-th
keywords chaosstringboundforceholographylargeaccompaniesamplitude
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Analytic Non-Integrability and S-Matrix Factorization

    hep-th 2019-09 conditional novelty 6.0 of 10

    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 t...

  2. Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.

  3. Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential

    hep-th 2025-05 conditional novelty 4.0 of 10

    Using three independent holographic methods, the authors obtain matching butterfly velocities for four QCD-like models and find a universal increase with temperature and decrease with chemical potential.

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