Ghost-free quantisation of non-abelian gauge theories via the Nicolai transformation of their supersymmetric extensions

Abstract

Non-abelian gauge theories are written as the infinite gaugino mass limit of softly broken supersymmetric Yang-Mills theories. Their supersymmetry is exploited by effecting a Nicolai transformation. The average of gauge-invariant objects is then expressed in terms of abelian, transverse, i.e. physical, gauge fields irrespective of the gauge fixing originally chosen; the resulting perturbation theory is ghost-free. Seen from a practical standpoint the computational effort required in either traditional (with linear gauge) or this newly formulated perturbation theory is comparable. © 1985.