Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
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2 1 味 QCD 物理点赝标量介子扇区的有限尺寸效应
DOI：
10.1103/physrevd.99.014504
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发表时间：
2019
影响因子：
5
通讯作者：
PACS Collaboration
中科院分区：
文献类型：
--
作者：
Ishikawa K.-I.;Ishizuka N.;Kuramashi Y.;Nakamura Y.;Namekawa Y.;Taniguchi Y.;Ukita N.;Yamazaki T.;Yoshie T.;PACS Collaboration
我们使用“PACS10”组态的一个子集研究了有限尺寸对赝标介子质量和衰变常数的影响，这些组态是在物理点保持时空体积过大或QCD的情况下产生的。我们尝试了两种分析方法，固定值或测量的轴向Ward恒等式夸克质量。比较晶格上的结果，我们发现在以前的分析中，赝标量介子区存在相当大的有限尺寸效应：、和晶格上的有限尺寸效应分别为2.1(8)%、4.8(1.6)%和0.36(31)%。对于后一种分析，有限尺寸效应对准标量介子衰变常数的影响分别为0.66(33)%、0.26(13)%和0.40(32)%。这些具有2西格玛误差条的数值与完全单圈SU(3)手征微扰理论的预测值是一致的，分别为0.20%、0.08%和0.13%。在目前的统计精度下，伪标量介子质量的有限尺寸效应很难被探测到。
We investigate the finite size effect on pseudoscalar meson masses and decay constants using a subset of the “PACS10” configurations which are generated keeping the space-time volumes overinflavor QCD at the physical point. We have tried two kinds of analyses, fixingvalues or measured axial Ward identity quark masses. Comparing the results onandlattices, we have found a sizable finite size effect on the pseudoscalar meson sector in the former analysis: a 2.1(8)%, 4.8(1.6)%, and 0.36(31)% finite size effect on,, and, respectively, on thelattice. For the latter analysis, the finite size effect on the pseudoscalar meson decay constants is 0.66(33)% for, 0.26(13)% for, and 0.40(32)% for. These values with two-sigma error bars are consistent with the predictions from the full one-loop SU(3) chiral perturbation theory, which are 0.20% for, 0.08% for, and 0.13% for. The finite size effect on the pseudoscalar meson masses is hardly detected under the current statistical precision.