Chiral perturbation theory for the Wilson lattice action

Abstract

We extend chiral perturbation theory to include linear dependence on the lattice spacing $a$ for the Wilson action. The perturbation theory is written as a double expansion in the small quark mass $m_q$ and lattice spacing $a$. We present formulae for the mass and decay constant of a flavor-non-singlet meson in this scheme to order $a$ and $m_q^2$. The extension to the partially quenched theory is also described.

9 pages LaTeX2e

References in corpus (1)

• Partially quenched chiral perturbation theory without ${\Phi }_0$

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