Asymptotic freedom of Yang-Mills fields in the Coulomb gauge

Abstract

We show that the slope of $\beta \mathrm{}\left(g\right)\mathrm{}$ at the origin is negative in the Coulomb gauge and agrees with the result obtained in covariant gauges. We also make a detailed comparison between the results obtained from the Bjorken-Johnson-Low limit and perturbation theory for the Yang-Mills propagator.