Forms of gauge fields and pure gauges

Abstract

An Ansatz of the form $e{A}_{\mu }^a=-k{\epsilon }^{\mathrm{abc}}{v}^b\mathrm{}\left(x\right)\mathrm{}{\partial }_{\mu }{v}^c\mathrm{}\left(x\right)\mathrm{}$ for the SU(2) Yang-Mills field can be treated as the gauge transform of the vacuum for $k=2\mathrm{}$.