Theory of Holographic Models for Linear Regge Trajectories and Its Applications

Abstract: We develop a bottom-up holographic theory of linear meson Regge trajectories that generalizes and unites into one logical framework various bottom-up holographic approaches proposed in the past and scattered in the literature. Various interrelations between the emerging models are studied. A recipe is proposed that allows to avoid the problem of unphysical massless pole arising in the vector case in a general situation. The given recipe can be used to predict the intercept of linear radial trajectory. We also apply our general approach to a holographic study of the pion form factor.