Light-Front Holography: A First Approximation to QCD

TL;DR

This paper introduces a light-front holography approach deriving a Schrödinger-like equation from QCD that predicts hadron spectra and wavefunctions, linking light-front dynamics with AdS space to approximate nonperturbative QCD effects.

Contribution

It develops a novel light-front Schrödinger equation for QCD that connects hadron structure with AdS space, providing a new analytical approximation method.

Findings

Derives a single-variable light-front Schrödinger equation for QCD.

Establishes a correspondence between light-front dynamics and AdS space.

Predicts hadron spectra and wavefunctions using the derived framework.

Abstract

Starting from the Hamiltonian equation of motion in QCD, we identify an invariant light-front coordinate $\zeta$ which allows the separation of the dynamics of quark and gluon binding from the kinematics of constituent spin and internal orbital angular momentum. The result is a single variable light-front Schrodinger equation for QCD which determines the eigenspectrum and the light-front wavefunctions of hadrons for general spin and orbital angular momentum. This light-front wave equation is equivalent to the equations of motion which describe the propagation of spin-$J$ modes on anti-de Sitter (AdS) space.