Yang-Mills theory inλgauges

Abstract

The gauge-independent phenomenon of color confinement in Yang-Mills theory likely manifests itself differently in different gauges in terms of the gauge-dependent correlation functions. Therefore, the relation of the infrared structure of the theory to the correlation functions may differ in different gauges. To understand this dependence classes of gauges that are controlled by a single gauge parameter are particularly useful. We present results on propagators and the color-Coulomb potential for the so-called $\ensuremath{\lambda}$-gauges, which interpolate between the (minimal) Landau gauge and the (minimal complete) Coulomb gauge. Results are reported for the SU(2) lattice gauge theory in three and four space-time dimensions. We investigate especially intermediate and low momenta. We find a continuous evolution of all quantities with the gauge parameter, except at zero $d$-momentum.