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Quenched chiral log and light quark mass from overlap fermions

2002/08/23 by Terrence Draper, Shao-Jing Dong, Ivan Horvath +4 · 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:10.1016/s0920-5632(03)01513-5

published as Nucl.Phys.Proc.Suppl.119:239-241,2003 · Lattice2002(spectrum), 3 pages, 3 figures

arxiv created 2002/08/23 · openalex publication_date 2003/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We study the quenched chiral behavior of the pion with mass as low as ≈ 180 MeV. The calculation is done on a quenched lattice of size 163× 28 and a = 0.2 fm with 80 configurations using overlap fermions and an improved gauge action. Using an improved constrained curve fitting technique, we find that the ground state pseudoscalar mass versus bare quark mass behavior is well controlled with small statistical errors; this permits a reliable fit of the quenched chiral log effects, a determination of the chiral log parameter (δ= 0.26(3)), and an estimate of the renormalized mass of the light quark (m^MS(μ=2 \rm GeV) = 3.7(3) \rm MeV).

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