Pion spectroscopy and dynamics using the holographic light-front Schr\"odinger equation and the 't Hooft equation

TL;DR

This paper combines holographic light-front Schr"odinger and 't Hooft equations to comprehensively model pion properties, including spectroscopy, decay constants, form factors, and parton distributions, within a unified theoretical framework.

Contribution

It introduces a novel approach that simultaneously describes multiple pion observables using holographic and 't Hooft equations, satisfying chiral-limit constraints.

Findings

Accurately models pion spectroscopy and decay constants.

Reproduces experimental charge radius and form factors.

Satisfies GMOR relation in the chiral limit.

Abstract

We show that the holographic Schr\"odinger equation of light-front chiral QCD, together with the 't Hooft equation of (1+1)-dimensional QCD in the large $N_c$ limit, can simultaneously describe pion spectroscopy as well as the pion decay constant, charge radius, electromagnetic form factor, photon-to-pion transition form factor, Parton Distribution Function (PDF) and Distribution Amplitude (DA). Furthermore, the chiral-limit constraints, as encoded in the Gell-Mann-Oakes-Renner (GMOR) relation, are satisfied.