content_image/307212.jpg content_image/307221.jpg content_image/307222.jpg content_image/307220.jpg
<img src='content_image/307212.jpg'>

There are still an infinite number of choices we could make for A ( z ) and Φ( z ) that would obey these constraints. We make the simplest choice, and set A ( z ) = − log( z ) and Φ = z $^{2}$. Hence the action and metric become 

<img src='content_image/307221.jpg'>

<img src='content_image/307222.jpg'>

Now we repeat the procedure of section 5.3 to find the meson masses and decay constants. 

## 5.5.1 Vector Mesons 

Repeating the process of section 5.3.1, the equation of motion becomes 

<img src='content_image/307220.jpg'>

As usual, we look for normalizable solutions to (5.29). However, now our choice of boundary conditions is much simpler than when there was no dilaton term. There is no hard IR cutoff at z = z$_{m}$ (as there was previously), and the action is defined for all z . So the ambiguity of (5.13) is removed when we have a theory with a smooth wall cutoff (although we have re- 

