Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD

Lattice calculation of coordinate-space vector and axial-vector current correlators in QCD
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QCD 中坐标空间矢量和轴向矢量电流相关器的点阵计算

DOI:
10.1103/physrevd.96.054511
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发表时间:
2017
期刊:
影响因子:
5
通讯作者:
M. Tomii et al.
M. Tomii et al.
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
N. Haba;H. Ishida;N. Okada and Y. Yamaguchi;増田公明;M. Tomii et al.

文献摘要

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研究了QCD微扰和非微扰状态下的矢量和轴矢量电流相关器。利用Möbius域壁费米子公式,在0.044 ~ 0.080 fm的三个晶格间距上计算欧几里得坐标空间中的相关子。包括了飞行风味的动力学夸克效应。外推到物理点后,在晶格上计算的矢量()和轴向矢量()电流相关器的和和差与ALEPH强子衰变实验数据转换的结果一致。在的范围内,通道内的一致性水平约为1,而在其他距离上,通道内的一致性水平约为1。我们还利用部分守恒的轴向电流关系从晶格上的短距离相关器中提取了手性凝聚物。它的结果外推到手性和连续统极限与其他估计在低能相容。
We study the vector and axial-vector current correlators in perturbative and nonperturbative regimes of QCD. The correlators in Euclidean coordinate space are calculated on the lattice using the Möbius domain-wall fermion formulation at three lattice spacings covering 0.044–0.080 fm. The dynamical quark effects oflight flavors are included. The sumand the differenceof the vector () and axial-vector () current correlators calculated on the lattice after extrapolating to the physical point agree with those converted from the ALEPH experimental data of hadronicdecays. The level of the agreement in thechannel is aboutor smaller in the region of, while that in thechannel is aboutatand smaller at other distances. We also extract the chiral condensate from the short-distance correlators on the lattice using the partially conserved axial current relation. Its result extrapolated to the chiral and continuum limit is compatible with other estimates at low energies.