2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/191782The Makeenko-Migdal loop equation is non-linear and first order in the area derivative, but we show that for simple loops in QCD$_2$ it is possible to reformulate this equation as a linear equation with second order derivatives. This equation is a bound state Schrödinger equation with a three dimensional Coulomb potential. Thus, loop dynamics leads to a surprising new picture of confinement, where this phenomenon is due to a (bound state) localization in loop space, with the Wilson loops decaying exponentially outside a characteristic radius.6 pages. Some comments addedHigh Energy Physics - TheoryHigh Energy Physics - LatticeHigh Energy Physics - PhenomenologyA Linear Equation for Wilson Loopstext