Obtaining a light-like planar gauge

Abstract

In the usual and current understanding of planar gauge choices for Abelian and non Abelian gauge fields, the external defining vector $n_{\mu }$ can either be space-like ($n^2<0$) or time-like ($n^2>0$) but not light-like ($n^2=0$). In this work we propose a light-like planar gauge that consists in defining a modified gauge-fixing term, ${\mathcal{L}}_{\mathcal{GF}}$, whose main characteristic is a two-degree violation of Lorentz covariance arising from the fact that four-dimensional space-time spanned entirely by null vectors as basis necessitates two light-like vectors, namely $n_{\mu }$ and its dual $m_{\mu }$, with $n^2=m^2=0,n\cdot m\ne 0$, say, e.g. normalized to $n\cdot m=2$.

9 pages

References in corpus (1)

• Probing negative dimensional integration: two-loop covariant vertex and one-loop light-cone integrals

Cited by in corpus (1)

• Non decoupling ghosts in the light cone gauge