Scaling of the coupling in the covariant ghost free gauge

Abstract

I introduced the quadratic gauge for $SU(N)$ Yang-Mills theory and demonstrated its substantial implications in the non-perturbative theory in my previous works. An interesting case is to understand its implications in a perturbative regime and ask whether they differ anyway from the well established theory in this regime. Here I aim to calculate the beta function at one loop level in the same gauge.

The paper requires subtle contemplation at certain points