## 6.2.3 Results 

The results of the model are displayed in Table 6.1. We compute six QCD meson parameters for our fits (we do not include g$_{ρππ}$ ). Our model has two free parameters (after fixing g$_{5}$ phenomenologically as discussed above), b corresponding roughly to the strong coupling scale Λ, and m corresponding to the light quark mass. The model therefore has the same number of free parameters as real QCD. 

In the first model, A , we match b and m by demanding that we correctly reproduce m$_{π}$ and m$_{ρ}$ . In order to do this, we must set Λ$_{b}$ = 264 . 5 MeV and m = 2 . 16 MeV. This gives a prediction of 325 . 8 MeV for the scale of the quark condensate. The overall rms error for this model is 12.8%. For comparison we also reproduce the pure AdS fit to the same parameters found in [2]. That model has three free parameters, the value of the IR cut off, the quark mass and the quark condensate and is therefore less predictive. 

In model B, we perform a global fit to all observables. This gives Λ$_{b}$ = 253 . 2 MeV and m = 2 . 24 MeV, with the characteristic scale for the quark condensate 311 . 9 MeV. The overall rms error for this model is 11.6%. Again we reproduce the equivalent pure AdS model fit for comparison. 

It is also possible to calculate the rho-pion-pion coupling constant in this geometry [142]. This was also done in [2]. However, as we noted in section 5.4, this term would receive important contributions from F 3 terms in the holographic action, which we have thus far neglected. Nevertheless, for comparison with [2] we do perform this result, and find that in this geometry g$_{ρππ}$ = 4 . 81 MeV. This compares well with the experimental value of 6 . 03 ± 0 . 07 MeV [24]. 

