Chiral perturbation theory for the Wilson lattice action

2002/01/25 by Gautam Rupak, Noam Shoresh · 1 citation
Physics and Astronomy · #hep-lat #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.66.054503

published as Phys.Rev. D66 (2002) 054503 · 9 pages LaTeX2e

arxiv created 2002/01/25 · arxiv updated 2009/11/30

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_q². The extension to the partially quenched theory is also described.

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