Non decoupling ghosts in the light cone gauge

Abstract

The 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 ($n_{\mu }$) instead of working with both light cone vectors ($n_{\mu }$ and $m_{\mu }$) 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 Cruz