Exact Symmetries realized on the Renormalized Group Flow

Details Exact Symmetries realized on the Renormalized Group Flow Exact Symmetries realized on the Renormalized Group Flow

1999-12-28

arxiv.org/abs/hep-th/9912262v2

Phys.Lett. B479 (2000) 336-342

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 10 pages

Scientific paper

10.1016/S0370-2693(00)00305-1

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.

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