Meson Thermalization in Various Dimensions

TL;DR

This paper investigates meson thermalization in various dimensions within gauge/gravity duality, revealing a universal behavior of thermalization timescales dependent only on fundamental parameters, regardless of the theory's conformality or supersymmetry.

Contribution

It introduces a universal description of meson thermalization timescales in Dp-Dq systems, independent of specific theory details, based on baryon injection dynamics.

Findings

Thermalization time depends only on t'Hooft coupling and baryon injection parameters.

Universal behavior observed across conformal and non-conformal theories.

Thermalization characterized by horizon formation on probe Dq-branes.

Abstract

In gauge/gravity duality framework the thermalization of mesons in strongly coupled (p+1)-dimensional gauge theories is studied for a general Dp-Dq system, q>=p, using the flavour Dq-brane as a probe. Thermalization corresponds to the horizon formation on the flavour Dq-brane. We calculate the thermalization time-scale due to a time-dependent change in the baryon number chemical potential, baryon injection in the field theory. We observe that for such a general system it has a universal behaviour depending only on the t'Hooft coupling constant and the two parameters which describe how we inject baryons into the system. We show that this universal behaviour is independent of the details of the theory whether it is conformal and/or supersymmetric.