Running coupling constant at finite chemical potential and magnetic field from holography * *X.C. is supported by the Research Foundation of Education Bureau of Hunan Province, China (21B0402). L.Z. is supported in part by the Fundamental Research Funds for the Central Universities. D.H. is in part supported by the National Natural Science Foundation of China (11735007, 11890711)

Abstract

According to 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 qualitatively consistent with lattice guage theory. 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 the magnetic field is slightly larger than that of 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.