Chaos in a $Q\bar{Q}$ system at finite temperature and baryon density

Abstract

Onset of chaos for the holographic dual of a $Q\bar{Q}$ system at finite temperature and baryon density is studied. We consider a string in the $AdS$ Reissner-Nordstrom background near the black-hole horizon, and investigate small time-dependent perturbations of the static configurations. The proximity to the horizon induces chaos, which is softened increasing the chemical potential. A background geometry including the effect of a dilaton is also examined. The Maldacena, Shenker and Stanford bound on the Lyapunov exponents characterizing the perturbations is satisfied for finite baryon chemical potential and when the dilaton is included in the metric.

arXiv comment12 pages, 14 figures. Appendix added. Matches the published version

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• Near horizon local instability and quantum thermality
• Angular momentum and chaos bound of charged particles around Einstein-Euler-Heisenberg AdS black holes
• Anisotropic and frame dependent chaos of suspended strings from a dynamical holographic QCD model with magnetic field
• T-linear resistivity, optical conductivity and Planckian transport for a holographic local quantum critical metal in a periodic potential
• Quantum corrections enhance chaos: study of particle motion near a generalized Schwarzschild black hole
• Chaotic dynamics of a suspended string in a gravitational background with magnetic field
• Fermionic and bosonic fluctuation-dissipation theorem from a deformed AdS holographic model at finite temperature and chemical potential
• Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
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