Potentials for soft wall AdS/QCD

Abstract

Soft-wall models in AdS/QCD generally have dilaton and scalar fields that vary with the fifth-dimension coordinate. These fields can be parameterized to yield hadron mass spectra with linear radial trajectories and to incorporate spontaneous breaking of chiral symmetry. We show how to construct scalar potentials which lead to such solutions.Comment: 21 pages. Version 3 matches that accepted for publication. Typos have been corrected and references added. Substantial discussion has been added in order to clarify our approach and the issue of the dilaton mass in Sec. 4. Central results and conclusions remain unchanged