Realization of Global Symmetries in the Wilsonian Renormalization Group

Details Realization of Global Symmetries in the Wilsonian Renormalization Group Realization of Global Symmetries in the Wilsonian Renormalization Group

2001-11-13

arxiv.org/abs/hep-th/0111112v1

Phys.Lett. B526 (2002) 164-172

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/S0370-2693(01)01461-7

We present a method to solve the master equation for the Wilsonian action in the antifield formalism. This is based on a representation theory for cutoff dependent global symmetries along the Wilsonian renormalization group (RG) flow. For the chiral symmetry, the master equation for the free theory yields a continuum version of the Ginsparg-Wilson relation. We construct chiral invariant operators describing fermionic self-interactions. The use of canonically transformed variables is shown to simplify the underlying algebraic structure of the symmetry. We also give another non-trivial example, a realization of SU(2) vector symmetry. Our formalism may be used for a non-perturbative truncation of the Wilsonian action preserving global symmetries.

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