2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52169The gist of using the light cone gauge lies in the well known property of ghosts decoupling. But from the BRST point of view this is a stringency since for the construction of a nilpotent operator (from a Lie algebra) the presence of ghosts are mandatory. We will show that this is a foible which has its origins in the very fact of using just one light cone vector ($n_μ$) instead of working with both light cone vectors ($n_μ$ and $m_μ$) to fulfill the light cone base vectors. This will break out ghost decoupling from theory but allowing now a consistent BRST theory for the light cone gauge.Universidade Estadual de Santa CruzHigh Energy Physics - Theorytext