Running coupling constant at finite chemical potential and magnetic field from holography

TL;DR

This paper uses holography to study how finite chemical potential and magnetic fields affect the running coupling constant, revealing suppression effects and phase-dependent influences consistent with lattice results.

Contribution

It introduces an Einstein-Maxwell-dilaton model to analyze the impact of chemical potential and magnetic field on the running coupling at finite temperature.

Findings

Chemical potential and magnetic field suppress the running coupling.

Magnetic field has a slightly larger effect than chemical potential.

Magnetic field significantly influences the running coupling in the deconfinement phase.

Abstract

According to the gauge/gravity duality, we use an Einstein-Maxwell-dilaton(EMD) model to study the running coupling constant at finite chemical potential and magnetic field. First, we calculate the effect of temperature on the running coupling constant and find the results are in consistent with lattice qualitatively. Subsequently, we calculate the effect of chemical potential and magnetic field on running coupling. It is found that the chemical potential and magnetic field both suppress the running coupling constant, however, the effect of magnetic field is slightly larger than chemical potential for a fixed temperature. Compared with the confinement phase, the magnetic field has a large influence on the running coupling in the deconfinement phase.