A holographic analysis of the pion

TL;DR

This paper uses light-front holography to analyze the pion, a key particle in QCD, by incorporating longitudinal dynamics and exploring models related to confinement and chiral symmetry breaking.

Contribution

It introduces a novel approach to compute low energy pion observables by integrating longitudinal dynamics within the holographic framework, connecting different theoretical models.

Findings

Successful computation of pion observables using the proposed holographic method.

Demonstration of the strong degeneracy between 't Hooft and Li-Vary models.

Insights into the connection between these models in AdS3 space.

Abstract

Being simultaneously a bound state and a pseudo-Goldstone boson of chiral symmetry breaking, the pion is an ideal probe of the intertwined phenomena of confinement and chiral symmetry breaking in QCD. Here, we compute the low energy pion observables with light-front holography, taking into account longitudinal dynamics using an ansatz that explores the strong degeneracy of the `t Hooft and Li-Vary models as well as their underlying connection in $\mathrm{AdS}_3$ as recently noted by Vegh.