SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations
SU(2) chiral perturbation theory low-energy constants from 2+1 flavor staggered lattice simulations
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DOI：
10.1103/physrevd.88.014513
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发表时间：
2012-05
影响因子：
5
通讯作者：
S. Borsányi;S. Durr;Z. Fodor;S. Krieg;A. Schafer;E. Scholz;K. Szabó
中科院分区：
文献类型：
--
作者：
S. Borsányi;S. Durr;Z. Fodor;S. Krieg;A. Schafer;E. Scholz;K. Szabó
基于Wuppertal-Budapest合作的QCD热力学系综的π介子质量和衰变常数的精确晶格数据，我们提取了SU(2)手性微扰理论的次阶低能常数\bar\ell_3和\bar\ell_4。这些组合具有2+1的双重粗体涂覆的动态交错费米子与赛门齐克胶结合的特点，其介子质量在135到435 MeV之间变化，晶格尺度在0.7到2.0 GeV之间，而m_s保持在其物理值不变。适度的味觉分裂和通过介子衰变常数设定的尺度允许我们将自己限制在味觉伪标量状态，并使用连续统手性微扰理论的公式。最后，通过从拟合中去掉135 MeV附近的数据点，我们可以探索SU(2)手性微扰理论中需要可靠地外推到物理点的介子质量范围。
We extract the next-to-leading-order low-energy constants \bar\ell_3 and \bar\ell_4 of SU(2) chiral perturbation theory, based on precise lattice data for the pion mass and decay constant on ensembles generated by the Wuppertal-Budapest Collaboration for QCD thermodynamics. These ensembles feature 2+1 flavors of two-fold stout-smeared dynamical staggered fermions combined with Symanzik glue, with pion masses varying from 135 to 435 MeV, lattice scales between 0.7 and 2.0 GeV, while m_s is kept fixed at its physical value. Moderate taste splittings and the scale being set through the pion decay constant allow us to restrict ourselves to the taste pseudoscalar state and to use formulas from continuum chiral perturbation theory. Finally, by dropping the data points near 135 MeV from the fits, we can explore the range of pion masses that is needed in SU(2) chiral perturbation theory to reliably extrapolate to the physical point.