Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-05-09
Int.J.Mod.Phys.A15:4811-4848,2000
Physics
High Energy Physics
High Energy Physics - Theory
Latex2e, 49 pages, 2 EPS figures. Misprints corrected. Version to be published on IJMPA
Scientific paper
10.1142/S0217751X00002196
We study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic non-covariant gauges where the Wilsonian infrared cutoff $\Lambda$ is inserted as a mass term for the propagating fields. In this way the Ward-Takahashi identities are preserved to all scales. Nevertheless BRST-invariance in broken and the theory is gauge-dependent and unphysical at $\Lambda\neq0$. Then we discuss the infrared limit $\Lambda\to0$. We show that the singularities of the axial gauge choice are avoided in planar gauge and light-cone gauge. In addition the issue of infrared divergences is addressed in some explicit example. Finally the rectangular Wilson loop of size $2L\times 2T$ is evaluated at lowest order in perturbation theory and a non commutativity between the limits $\Lambda\to0$ and $T\to\infty$ is pointed out.
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