Chiral symmetry restoration and axial vector renormalization for Wilson fermions

Details Chiral symmetry restoration and axial vector renormalization for Wilson fermions Chiral symmetry restoration and axial vector renormalization for Wilson fermions

2000-03-02

arxiv.org/abs/hep-lat/0003003v1

Phys.Rev. D62 (2000) 014504

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, Latex2e

Scientific paper

10.1103/PhysRevD.62.014504

Lattice gauge theories with Wilson fermions break chiral symmetry. In the U(1) axial vector current this manifests itself in the anomaly. On the other hand it is generally expected that the axial vector flavour mixing current is non-anomalous. We give a short, but strict proof of this to all orders of perturbation theory, and show that chiral symmetry restauration implies a unique multiplicative renormalization constant for the current. This constant is determined entirely from an irrelevant operator in the Ward identity. The basic ingredients going into the proof are the lattice Ward identity, charge conjugation symmetry and the power counting theorem. We compute the renormalization constant to one loop order. It is largely independent of the particular lattice realization of the current.

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