Towards a lattice calculation of the coefficients of the QCD chiral Lagrangian

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Talk presented at LATTICE96(chirality in qcd) , 3 pages, no figures. Latex file with espcrc2 style

Scientific paper

10.1016/S0920-5632(96)00635-4

We discuss a general strategy to compute the coefficients of QCD chiral Lagrangian by using the lattice regularization of QCD with Wilson fermions. This procedure requires the introduction of an effective Lagrangian for lattice QCD as an intermediate step in the calculation. The continuum QCD chiral Lagrangian can be then obtained by expanding the lattice effective Lagrangian in increasing powers of the external momenta. A suitable renormalization procedure is required to account for the chiral symmetry breaking introduced by the Wilson term in the lattice action. In anticipation of a numerical simulation, the lattice effective Lagrangian is computed analytically and investigated in the strong coupling and large $N$ limit

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