Baryon density and magnetic field effects on chaos in a $Q \bar Q$ system at finite temperature

TL;DR

This paper investigates how baryon density and magnetic fields influence chaos in a holographic quark-antiquark system at finite temperature, revealing that these factors soften chaos and satisfy chaos bounds under certain conditions.

Contribution

It introduces a detailed analysis of chaos in a holographic Qar{Q} system considering baryon density and magnetic fields, including effects of a dilaton background.

Findings

Chaos is induced near the horizon and softened by increasing chemical potential or magnetic field.

The chaos bound is satisfied for finite baryon chemical potential and magnetic field.

Including a dilaton in the background geometry still respects the chaos bound.

Abstract

Baryon density and magnetic field effect on chaos for the holographic dual of a $Q \bar Q$ system at finite temperature is studied. A string in an AdS Reissner Nordstrom background, and in a metric with magnetic field near the black hole horizon is considered and small time-dependent perturbations of the static configurations are investigated. The proximity to the horizon induces chaos, which is softened increasing the chemical potential or the magnetic field. 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 magnetic field and when the dilaton is included in the metric.