Convergence of the Chiral Expansion in Two-Flavor Lattice QCD

被引：56

作者：

Noaki, J. ^{[1
]}

Aoki, S. ^{[2
,3
]}

Chiu, T. W. ^{[4
,5
]}

Fukaya, H. ^{[1
,6
]}

Hashimoto, S. ^{[1
,7
]}

Hsieh, T. H. ^{[8
]}

Kaneko, T. ^{[1
,7
]}

Matsufuru, H. ^{[1
]}

Onogi, T. ^{[9
]}

Shintani, E. ^{[1
]}

Yamada, N. ^{[1
,7
]}

机构：

[1] High Energy Accelerator Res Org, Tsukuba, Ibaraki 3050801, Japan

[2] Univ Tsukuba, Grad Sch Pure & Appl Sci, Tsukuba, Ibaraki 3058571, Japan

[3] RIKEN, BNL, Res Ctr, Upton, NY 11973 USA

[4] Natl Taiwan Univ, Dept Phys, Ctr Theoret Sci, Taipei 10617, Taiwan

[5] Natl Taiwan Univ, Natl Ctr Theoret Sci, Taipei 10617, Taiwan

[6] Niels Bohr Int Acad, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark

[7] Grad Univ Adv Studies Sokendai, Sch High Energy Accelerator Sci, Tsukuba, Ibaraki 3050801, Japan

[8] Acad Sinica, Res Ctr Appl Sci, Taipei 115, Taiwan

[9] Kyoto Univ, Yukawa Inst Theoret Phys, Kyoto 6068502, Japan

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 20期

关键词：

D O I：

10.1103/PhysRevLett.101.202004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：5

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