English

Exact Symmetries realized on the Renormalized Group Flow

High Energy Physics - Theory 2009-10-31 v2

Abstract

We show that symmetries are preserved exactly along the (Wilsonian) renormalization group flow, though the IR cutoff deforms concrete forms of the transformations. For a gauge theory the cutoff dependent Ward-Takahashi identity is written as the master equation in the antifield formalism: one may read off the renormalized BRS transformation from the master equation. The Maxwell theory is studied explicitly to see how it works. The renormalized BRS transformation becomes non-local but keeps off-shell nilpotency. Our formalism is applicable for a generic global symmetry. The master equation considered for the chiral symmetry provides us with the continuum analog of the Ginsparg-Wilson relation and the L{\" u}scher's symmetry.

Keywords

Cite

@article{arxiv.hep-th/9912262,
  title  = {Exact Symmetries realized on the Renormalized Group Flow},
  author = {Yuji Igarashi and Katsumi Itoh and Hiroto So},
  journal= {arXiv preprint arXiv:hep-th/9912262},
  year   = {2009}
}

Comments

Latex, 10 pages