Two Schr\"odinger-like Equations for hadrons

TL;DR

This paper discusses two Schr"odinger-like equations derived from holographic and large N_c QCD, proposing their complementary roles in approximating hadron spectroscopy similarly to atomic physics.

Contribution

It introduces a novel perspective on using two different Schr"odinger-like equations from distinct QCD frameworks as complementary tools for hadron spectroscopy.

Findings

The holographic Schr"odinger Equation and 't Hooft Equation can be combined for better hadron spectrum approximation.

These equations serve as analogs to the Schr"odinger Equation in atomic physics.

They provide a first approximation to hadron spectroscopy.

Abstract

In this talk, based on [1,2], I argue that the holographic Schr\"odinger Equation of $(3+1)$-dim, conformal light-front QCD and the 't Hooft Equation of $(1+1)$-dim, large $N_c$ QCD, can be complementary to each other in providing a first approximation to hadron spectroscopy. Together, the two equations play a role in hadronic physics analogous that of the ordinary Schr\"odinger Equation in atomic physics.