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

TL;DR

This paper investigates chaos in a holographic Q-Qbar system at finite temperature and baryon density, analyzing how perturbations evolve near black hole horizons and how chemical potential and dilaton fields influence chaos bounds.

Contribution

It demonstrates how chaos manifests in a holographic Q-Qbar system at finite density and temperature, including effects of dilaton fields and chemical potential on Lyapunov exponents.

Findings

Chaos is induced near the black hole horizon in the holographic model.

Increasing chemical potential softens the chaos, reducing Lyapunov exponents.

The chaos bound by Maldacena, Shenker, and Stanford is satisfied under studied conditions.

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.