Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-07-08
Phys.Rev. D56 (1997) 1101-1120
Physics
High Energy Physics
High Energy Physics - Lattice
45 pages, no figures. Latex file
Scientific paper
10.1103/PhysRevD.56.1101
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.
Levi A. R.
Lubicz Vittorio
Rebbi Claudio
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