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 (m̄MS(μ = 2 GeV) = 3.7(3) MeV).
|Number of pages||3|
|Journal||Nuclear Physics B - Proceedings Supplements|
|State||Published - May 2003|
Bibliographical noteFunding Information:
*Talk presented by T. Draper at Lattice 2002. tThis work is supported in part by the U.S. Department of Energy under grant numbers DE-FG05-84ER40154 DE-FG02-02ER45967.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- Nuclear and High Energy Physics