2003/06/30 by Sinya Aoki · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1103/physrevd.68.054508
published as Phys.Rev.D68:054508,2003 · 21 pages, 4 figures (10 eps files), Revtex4, some discussions and references added, the final version to appear in PRD
arxiv created 2003/08/27 · openalex publication_date 2003/09/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We derive the quark mass dependence of m_\ensuremathπ2, mAWI, and f_\ensuremathπ, using chiral perturbation theory, which includes the a2 effect associated with the explicit chiral symmetry breaking of the Wilson-type fermions, in the case of the Nf=2 degenerate quarks. The distinct features of the results are (1) the additive renormalization for the mass parameter mq in the Lagrangian, (2) O(a) corrections to the chiral log (mqlogmq) term, (3) the existence of a more singular term logmq generated by a2 contributions, and (4) the existence of both mqlogmq and logmq terms in the quark mass from the axial Ward-Takahashi identity mAWI. By fitting the mass dependence of m_\ensuremathπ2 and mAWI, obtained by the CP-PACS Collaboration for Nf=2 full QCD simulations, we find that the data are consistently described by the derived formulas. Resumming the most singular terms logmq, we also derive modified formulas, which show a better control over the next-to-leading order correction.