# Magnetic properties of holographic multiquarks in the quark-gluon plasma

## TL;DR

This paper investigates the magnetic behavior of multiquark states in the quark-gluon plasma using the Sakai-Sugimoto model, revealing how magnetic fields influence their stability, structure, and phase transitions.

## Contribution

It introduces a detailed holographic analysis of magnetized multiquark configurations, highlighting their response to magnetic fields and comparing their thermodynamic stability with other phases.

## Key findings

- Higher colour charge multiquarks respond more strongly to magnetic fields.
- Magnetized multiquark phases are preferred over vacuum when chemical potential exceeds a threshold.
- Mixed multiquark and pion gradient phases are favored at high densities and moderate magnetic fields.

## Abstract

We study the magnetic properties of the coloured multiquark states in the quark-gluon plasma where the gluons are deconfined and the chiral symmetry is still broken, using the Sakai-Sugimoto model. There are two possible magnetized multiquark configurations. Both configurations converge to the same configuration at the critical field and temperature before they dissociate altogether either into less coloured multiquarks or into other phases for a fixed density. It is also found that the multiquarks with higher colour charges respond more to the external magnetic field in both the magnetization and the degree of chiral symmetry breaking. Magnetic field also makes it more difficult for multiquark states with large colour charges to satisfy the equilibrium condition of the configuration in the gravity dual picture. As long as the chemical potential $\mu > \mu_{onset}$, the magnetized multiquarks phase is thermodynamically preferred over the magnetized vacuum. Pure pion gradient and the chiral-symmetric quark-gluon plasma ($\chi_S$-QGP) phase for the general Sakai-Sugimoto model are discussed and compared with the multiquark phase in the presence of the magnetic field. It is found that at large densities and moderate fields, the mixed phase of multiquarks and the pion gradient is thermodynamically preferred over the $\chi_S$-QGP.