Exact Renormalization Group in Algebraic Noncovariant Gauges

I study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic noncovariant gauges where the Wilsonian infrared cutoff $\mathrm{\Lambda }$ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi identities are preserved to all scales. Nevertheless the BRS-invariance in broken and the theory is gauge-dependent and unphysical at $\mathrm{\Lambda }\mathrm{\ne }0$. Then I discuss the infrared limit $\mathrm{\Lambda }\to 0$. I show that the singularities of the axial gauge choice are avoided in planar gauge and in light-cone gauge. Finally the rectangular Wilson loop of size $2L\times 2T$ is evaluated at lowest order in perturbation theory and a noncommutativity between the limits $\mathrm{\Lambda }\to 0$ and $T\to \mathrm{\infty }$ is pointed out.