Exact Renormalization Group in Algebraic Noncovariant Gauges

Abstract

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 $\Lambda \ne 0$. Then I discuss the infrared limit $\Lambda \to 0$. 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 $\Lambda \to 0$ and $T\to \infty$ is pointed out.

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

References in corpus (2)

• Exact evolution equation for the effective potential
• A Derivation of the Correct Treatment of 1/(eta.k)^p Singularities in Axial Gauges