Holographic $${\beta}$$-Function for Light and Heavy Quarks Models

We investigate a $$\beta$$ -function in light and heavy quarks holographic models supported by Eistein-Maxwell-dilaton action. The models in question include nonzero temperature and chemical potential that substantially influence the $$\beta$$ -function behavior. We compare the results for light and heavy quarks models with respect to the QCD phase stucture.