Light-Front Holography and QCD Hadronization at the Amplitude Level

TL;DR

This paper discusses how light-front holography provides a relativistic, frame-independent way to describe hadrons in QCD, deriving a Schrödinger equation for hadron spectra and introducing a new method for calculating hadronization at the amplitude level.

Contribution

It introduces a novel approach linking AdS/QCD holography to light-front wavefunctions, enabling a unified description of hadron spectra and a new method for hadronization calculations.

Findings

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

Mapped AdS fifth dimension to light-front coordinate for hadron description.

Outlined a new amplitude-level hadronization computation method.

Abstract

Light-front holography allows hadronic amplitudes in the AdS/QCD fifth dimension to be mapped to frame-independent light-front wavefunctions of hadrons in physical space-time, thus providing a relativistic description of hadrons at the amplitude level. The AdS coordinate z is identified with an invariant light-front coordinate zeta which separates 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. A new method for computing the hadronization of quark and gluon jets at the amplitude level using AdS/QCD light-front wavefunctions is outlined.