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arxiv hep-lat/9607022 v1 pith:O2WVOQTX submitted 1996-07-08 hep-lat hep-th

QCD chiral Lagrangian on the lattice, strong coupling expansion and Ward identities with Wilson fermions

classification hep-lat hep-th
keywords latticechirallagrangianwilsoncouplingexpansionorderstrong
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss a general strategy to compute the coefficients of the QCD chiral Lagrangian using lattice QCD with Wilson fermions. This procedure requires the introduction of a lattice chiral Lagrangian as an intermediate step in the calculation. The QCD chiral Lagrangian is then obtained by expanding the lattice effective theory in increasing powers of the lattice spacing and the external momenta. In order to investigate the consequences of the chiral symmetry breaking induced by the Wilson term, we study the lattice chiral Lagrangian at the leading order of the strong coupling and large $N$ expansion. We show that the effects of the Wilson term can be conveniently taken into account, in the lattice effective theory, by a suitable renormalization procedure. In particular, we show that, at the leading order of the strong coupling and large N expansion, the chiral symmetry is exactly recovered on the lattice provided that the bare quark mass and the lattice operators are properly renormalized.

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