Journal
PHYSICAL REVIEW LETTERS
Volume 101, Issue 20, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.101.202004
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Funding
- Nishina Foundation
- Ministry of Education [17740171, 18034011, 18340075, 18740167, 18840045, 19540286, 19740121, 19740160, 20025010, 20039005, 20340047, 20740156]
- National Science Council of Taiwan [NSC96-2112M-002-020-MY3, NSC96-2112-M-001-017-MY3]
- NTU-CQSE [97R0066-65/69]
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We test the convergence property of the chiral perturbation theory using a lattice QCD calculation of pion mass and decay constant with two dynamical quark flavors. The lattice calculation is performed using the overlap fermion formulation, which realizes exact chiral symmetry at finite lattice spacing. By comparing various expansion prescriptions, we find that the chiral expansion is well saturated at the next-to-leading order for pions lighter than similar to 450 MeV. Better convergence behavior is found, in particular, for a resummed expansion parameter xi, with which the lattice data in the pion mass region 290-750 MeV can be fitted well with the next-to-next-to-leading order formulas. We obtain the results in two-flavor QCD for the low energy constants (l) over bar (3) and (l) over bar (4) as well as the pion decay constant, the chiral condensate, and the average up and down quark mass.
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