Non decoupling ghosts in the light cone gauge

Ricardo Bentin

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arXiv · hep-th/0310094

Non decoupling ghosts in the light cone gauge

Ricardo Bentin

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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 ($n_μ$) 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.

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Ricardo Bentin. 2003-10-09. Non decoupling ghosts in the light cone gauge. https://arxiv.org/abs/hep-th/0310094

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