English

Exact Renormalization Group in Algebraic Noncovariant Gauges

High Energy Physics - Theory 2009-10-31 v1

Abstract

I study a class of Wilsonian formulations of non-Abelian gauge theories in algebraic noncovariant gauges where the Wilsonian infrared cutoff Λ\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 Λ0\Lambda\neq0. Then I discuss the infrared limit Λ0\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×2T2L\times 2T is evaluated at lowest order in perturbation theory and a noncommutativity between the limits Λ0\Lambda\to0 and TT\to\infty is pointed out.

Keywords

Cite

@article{arxiv.hep-th/0010109,
  title  = {Exact Renormalization Group in Algebraic Noncovariant Gauges},
  author = {Michele Simionato},
  journal= {arXiv preprint arXiv:hep-th/0010109},
  year   = {2009}
}

Comments

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