Time-Dependent Meson Melting in External Magnetic Field

TL;DR

This paper studies how an external magnetic field influences the time-dependent melting and reformation of mesons in a strongly coupled gauge theory using holography, revealing magnetic field effects on thermalization dynamics.

Contribution

It introduces a holographic model of dynamical meson melting with an external magnetic field, showing how magnetic fields affect the embedding and thermalization process.

Findings

Magnetic field can revert melted mesons to bound states.

Magnetic field delays the system's approach to equilibrium.

Final meson states depend on magnetic field strength.

Abstract

The dynamics of a probe D7-brane in an asymptotically AdS-Vaidya background has been investigated in the presence of an external magnetic field. Holographically, this is dual to the dynamical meson melting in the N = 2 super Yang-Milles theory. If the final temperature of the system is large enough, the probe D7-brane will dynamically cross the horizon (black hole embedding). By turning on the external magnetic field and raising it sufficiently, the final embedding of the corresponding D7-brane changes to Minkowski embedding. In the field theory side, this means that the mesons which melt due to the raise in the temperature, will form bound states again by applying an external magnetic field. We will also show that the evolution of the system to its final equilibrium state is postponed due to the presence of the magnetic field.