Light-Front Holographic Analysis of the Pion with Longitudinal Confining Potentials
A light-front holographic computation of pion observables (mass, charge radius, decay constant, and electromagnetic and transition form factors) that augments the holographic transverse potential with a model of the longitudinal quark dynamics using the confining potentials of 't Hooft and of Li and Vary. It yields a longitudinal light-front wavefunction more peaked about momentum fraction x ~ 1/2 than prior studies, examines the degeneracy between the two potentials, and links a data-consistent case to Vegh's four-segmented-string equation in AdS3.
A holographic analysis of the pion
Working within light-front holography, this paper computes a suite of pion observables - its mass, charge radius, decay constant, electromagnetic form factor, and electromagnetic transition form fact…