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A class of covariant gauges allowing one to interpolate between the Landau, the maximal Abelian, the linear covariant and the Curci-Ferrari gauges is discussed. Multiplicative renormalizability is proven to all orders by means of algebraic renormalization. All one-loop anomalous dimensions of the fields and gauge parameters are explicitly evaluated in the MSbar scheme.
We address the issue of the renormalizability of the gauge-invariant non-local dimension-two operator $A^2_{rm min}$, whose minimization is defined along the gauge orbit. Despite its non-local character, we show that the operator $A^2_{rm min}$ can b
We study the SU(3) gluon propagator in renormalizable $R_xi$ gauges implemented on a symmetric lattice with a total volume of (3.25 fm)$^4$ for values of the guage fixing parameter up to $xi=0.5$. As expected, the longitudinal gluon dressing function
In this paper, we discuss the gluon propagator in the linear covariant gauges in $D=2,3,4$ Euclidean dimensions. Non-perturbative effects are taken into account via the so-called Refined Gribov-Zwanziger framework. We point out that, as in the Landau
The dimension two gauge invariant non-local operator $A_{min }^{2}$, obtained through the minimization of $int d^4x A^2$ along the gauge orbit, allows to introduce a non-local gauge invariant configuration $A^h_mu$ which can be employed to built up a
The Refined Gribov-Zwanziger framework takes into account the existence of equivalent gauge field configurations in the gauge-fixing quantization procedure of Euclidean Yang-Mills theories. Recently, this setup was extended to the family of linear co