On the couplings of vector mesons in AdS/QCD

We address, in the AdS/CFT context, the issue of the universality of the couplings of the rho meson to other hadrons. Exploring some models, we find that generically the rho-dominance prediction f(rho)g(rho)HH=m(rho)(2) does not hold, and that g rho HH is not independent of the hadron H. However, we prove that, in any model within the AdS/QCD context, there are two limiting regimes where the g rho HH, along with the couplings of all excited vector mesons as well, become H-independent: (1) when H is created by an operator of large dimension, and (2) when H is a highly-excited hadron. We also find a sector of a particular model where universality for the rho coupling is exact. Still, in none of these cases need it be true that f(rho)g(rho)HH=m(rho)(2), although we find empirically that the relation does hold approximately (up to a factor of order two) within the models we have studied.