Bottom-up holographic models of QCD, inspired by the anti-de Sitter space/conformal field theory correspondence, have shown a remarkable degree of phenomenological success. However, they rely on a number of bold assumptions. We investigate the reliability of one of the key assumptions, which involves matching the parameters of these models to QCD at high 4D momentum $q^2$ and renormalization scale ${\mu }^2$. We show that this leads to phenomenological and theoretical inconsistencies for scale-dependent quantities such as $\langle \overline{q}q\rangle$.

• Received 8 December 2008

DOI:https://doi.org/10.1103/PhysRevC.79.045203