Two Schrödinger-like Equations for hadrons

Abstract

In this talk, based on [1,2], I argue that the holographic Schrödinger 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 Schrödinger Equation in atomic physics.

Comments: 8 pages, 4 figures. Talk given at the Virtual Tribute to Quark Confinement and the Hadron Spectrum, organized by the University of Stavanger, Norway. August 2nd - 6th, 2021