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

Abstract

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.

45 pages, no figures. Latex file

References in corpus (7)

• Chiral perturbation theory
• Chiral Perturbation Theory
• Lattice Calculation of D- and B-meson Semileptonic Decays, using the Clover Action at beta=6.0 on APE
• Finite-Temperature Phase Structure of Lattice QCD with Wilson Quark Action
• Chiral behaviour of the lattice $B_K$-parameter with the Wilson and Clover Actions at $\beta =6.0$
• Chiral Perturbation Theory on the Lattice; Strong Coupling Expansion
• Geometrical Volume Effects in the Computation of the Slope of the Isgur-Wise Function

Cited by in corpus (9)

• Chiral perturbation theory at O(a^2) for lattice QCD
• Quartet S Wave Neutron Deuteron Scattering in Effective Field Theory
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Lattice regularization for chiral perturbation theory
• Volume dependences from lattice chiral perturbation theory
• Nonlinear Realization of Chiral Symmetry on the Lattice
• Effective Lagrangian for strongly coupled domain wall fermions
• (1+1)-dimensional Baryons from the SU(N) Color-Flavor Transformation
• Derivation of Chiral Lagrangians from Random Lattice QCD