Beta-Function Dependence on Running Coupling in Holographic QCD Models

Abstract

We study the dependence of beta-function on running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for light and heavy quarks. Although, in the previous paper [arXiv:2402.14512], we considered different types of the dilaton boundary conditions, but since the behavior of ${\hat{I}}^2$-function as a function of running coupling does not depend significantly on the boundary condition, we chose one. The corresponding ${\hat{I}}^2$-functions are negative and monotonically decreasing functions, and have jumps on the 1-st order phase transitions for both light and heavy quarks. In addition, we compare our holographic results for ${\hat{I}}^2$-function as a function of running coupling with perturbation results that obtained within 2-loop calculations.

18 pages, 6 figures