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QCD chiral Lagrangian on the lattice, strong coupling expansion and Ward identities with Wilson fermions
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 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.Comment: 45 pages, no figures. Latex fil