Exact Renormalization Group in Algebraic Noncovariant Gauges

Details Exact Renormalization Group in Algebraic Noncovariant Gauges Exact Renormalization Group in Algebraic Noncovariant Gauges

2000-10-13

arxiv.org/abs/hep-th/0010109v1

Int.J.Mod.Phys. A16 (2001) 2125-2130

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, latex2e, Proceeding of the Second Conference on the Exact RG

Scientific paper

10.1142/S0217751X01004815

I study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic noncovariant 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 the BRS-invariance in broken and the theory is gauge-dependent and unphysical at $\Lambda\neq0$. Then I discuss the infrared limit $\Lambda\to0$. 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 $\Lambda\to0$ and $T\to\infty$ is pointed out.

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