Probe Branes Thermalization in External Electric and Magnetic Fields

TL;DR

This paper investigates how external electric and magnetic fields induce thermalization on rotating probe branes in AdS_5 x S^5, revealing field-independent temperature behavior and differences between open string and induced metric temperatures.

Contribution

It demonstrates the formation of horizons on probe branes due to rotation and analyzes temperature discrepancies from open string and fluctuation perspectives.

Findings

Temperature is independent of probe brane dimension.

Open string metric temperature exceeds induced metric temperature.

External fields induce horizon formation on rotating probe branes.

Abstract

We study thermalization on rotating probe branes in AdS_5 x S^5 background in the presence of constant external electric and magnetic fields. In the AdS/CFT framework this corresponds to thermalization in the flavour sector in field theory. The horizon appears on the worldvolume of the probe brane due to its rotation in one of the sphere directions. For both electric and magnetic fields the behaviour of the temperature is independent of the probe brane dimension. We also study the open string metric and the fluctuations of the probe brane in such a set-up. We show that the temperatures obtained from open string metric and observed by the fluctuations are larger than the one calculated from the induced metric.