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arXiv 0705.0572hep-lat
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畴壁价混合介子质量和交错海费米子

Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions

Kostas Orginos, Andre Walker-Loud

备注：
28 pages, 3 figures, 5 tables
发表信息：
Phys.Rev.D77:094505,2008
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摘要：

混合作用晶格计算允许一个附加的晶格间距依赖的质量重整化的介子组成的一个海和一个价夸克，无论类型的费米子离散化方法中使用的价和海部门。质量重整化的值取决于所使用的晶格作用。这种混合介子质量移动是一个重要的晶格人工制品，以确定混合行动的计算，因为它修改了π介子质量，它在所有强子关联函数的低能动力学中起着核心作用。我们确定了领先的顺序，$\mathcal{O}(a^2)$，和旁边的领先顺序，$\mathcal{O}(a^2 m_π^2)$，添加剂质量移动的\textit{valence-sea}介子的混合晶格行动与畴壁价费米子和根交错海费米子，有关目前的大规模混合行动晶格的努力。我们发现，在asqtad改进的粗MILC晶格上，这种附加的质量移动在晶格单元中被$Δ(am)^2 = 0.034(2) -0.06(2) (a m_π)^2$很好地参数化，在物理单元中，使用$a=0.125$ fm，对应于$Δ(m)^2 = (291\pm 8 \textrm{MeV})^2 -0.06(2) m_π^2$。根据混合作用有效场论参数，相应的质量位移由$a^2 Δ_\mathrm{Mix} = (316 \pm 4 \textrm{MeV})^2$给出，在领先的顺序加上次领先的顺序校正，包括必要的手征的混合作用计算，在这项工作中确定。在我们的计算精度范围内，我们不能区分这种加性混合介子质量移动的次领先阶有效场论分析和上面给出的参数化。

英文摘要：

Mixed action lattice calculations allow for an additive lattice spacing dependent mass renormalization of mesons composed of one sea and one valence quark, regardless of the type of fermion discretization methods used in the valence and sea sectors. The value of the mass renormalization depends upon the lattice actions used. This mixed meson mass shift is an important lattice artifact to determine for mixed action calculations; because it modifies the pion mass, it plays a central role in the low energy dynamics of all hadronic correlation functions. We determine the leading order, $\mathcal{O}(a^2)$, and next to leading order, $\mathcal{O}(a^2 m_π^2)$, additive mass shift of \textit{valence-sea} mesons for a mixed lattice action with domain-wall valence fermions and rooted staggered sea fermions, relevant to the majority of current large scale mixed action lattice efforts. We find that on the asqtad improved coarse MILC lattices, this additive mass shift is well parameterized in lattice units by $Δ(am)^2 = 0.034(2) -0.06(2) (a m_π)^2$, which in physical units, using $a=0.125$ fm, corresponds to $Δ(m)^2 = (291\pm 8 \textrm{MeV})^2 -0.06(2) m_π^2$. In terms of the mixed action effective field theory parameters, the corresponding mass shift is given by $a^2 Δ_\mathrm{Mix} = (316 \pm 4 \textrm{MeV})^2$ at leading order plus next-to-leading order corrections including the necessary chiral logarithms for this mixed action calculation, determined in this work. Within the precision of our calculation, one can not distinguish between the full next-to-leading order effective field theory analysis of this additive mixed meson mass shift and the parameterization given above.

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