Light Front Holography: Response to a Comment by L. Glozman

TL;DR

This paper clarifies that light-front holography solutions in QCD naturally include multiple orbital angular momentum components, aligning with physical principles and chiral symmetry, countering previous comments questioning its consistency.

Contribution

The paper responds to critiques by demonstrating that light-front holography inherently accommodates multiple L components, maintaining consistency with QCD and chiral symmetry.

Findings

Hadronic wavefunctions include multiple L components.

AdS/QCD results are consistent with chiral symmetry.

Light-front holography does not violate physical principles.

Abstract

We reply to L. Ya. Glozman's Comment "Is a consistent holographic description of excited hadrons with fixed $L$ possible?" In general, the solutions of the bound state Hamiltonian equation of motion in QCD have Fock state components with different $L$, and consequently hadronic relativistic wave equations derived in the framework of light-front holography share this property. For example, the proton eigenstate has components with L=0 and L=1. The results of AdS/QCD are consistent with the requirements of chiral symmetry and do not violate any fundamental physical principle. This is further illustrated with various examples.