  An extended version of the AdS/QCD Soft-Wall model that incorporates QCD-like
anomalous contributions to the dimensions of gauge theory operators is
proposed. This exploratory approach leads to a relation between scalar glueball
masses and beta functions. Using this relation, properties of the glueball mass
spectroscopy that emerge from phenomenological beta functions proposed in the
literature are investigated. The reverse problem is also considered: starting
from a linear Regge trajectory which fits the lattice glueball masses, beta
functions with different asymptotic infrared behaviours are found. Remarkably,
some of them present a fixed point at finite coupling.
