A holographic analysis of the pion

TL;DR

This paper uses light-front holography and specific quark potentials to compute various pion properties, revealing a peaked longitudinal wavefunction and exploring potential degeneracies with implications for string dynamics in AdS space.

Contribution

It introduces a novel holographic approach to model pion properties using 't Hooft and Li & Vary potentials, highlighting a peaked wavefunction and potential degeneracies.

Findings

Peaked longitudinal wavefunction around x~1/2

Degeneracy between 't Hooft and Li & Vary potentials

Connection to string dynamics in AdS3

Abstract

Inspired by light-front holography, we compute the pion mass, charge radius, decay constant, electromagnetic form factor and electromagnetic transition form factor. To do so, we model the longitudinal quark dynamics using potentials due to 't Hooft and to Li & Vary. We find a longitudinal wavefunction that is rather more peaked about $x \sim 1/2$ than in previous studies. We also explore the strong degeneracy between these two potentials and conclude by noting that one scenario that accords well with the data also maps onto an equation previously noted by Vegh that describes the dynamics of a four-segmented string in $\mathrm{AdS}_3$.