Chiral perturbation theory for the Wilson lattice action

Details Chiral perturbation theory for the Wilson lattice action Chiral perturbation theory for the Wilson lattice action

2002-01-25

arxiv.org/abs/hep-lat/0201019v1

Phys.Rev. D66 (2002) 054503

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages LaTeX2e

Scientific paper

10.1103/PhysRevD.66.054503

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.

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