A dynamical model for longitudinal wave functions in light-front holographic QCD

TL;DR

This paper develops a combined longitudinal and transverse wave function model for mesons with massive quarks in light-front holographic QCD, enabling improved calculations of decay constants and parton distributions.

Contribution

It introduces a Schrodinger-like equation for longitudinal wave functions based on the 't Hooft model, integrated with the transverse equation from light-front holography, for mesons with massive quarks.

Findings

Wave functions align with Brodsky-De Teramond ansatz

Decay constants and parton distribution functions computed

Basis functions facilitate meson state calculations in QCD

Abstract

We construct a Schrodinger-like equation for the longitudinal wave function of a meson in the valence qq-bar sector, based on the 't Hooft model for large-N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and De Teramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.