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arXiv 0710.3468hep-lat
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双味格点量子色动力学ε区的介子关联函数

Meson correlators in the epsilon-regime of two-flavor lattice QCD

JLQCD collaboration, H. Fukaya, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, J. Noaki, K. Ogawa, T. Onogi, N. Yamada

摘要:

我们在双味QCD的$ε$ -体系中计算了介子关联函数。在具有$a\sim 0.11$ fm的$16^3\times 32$晶格上,用动力学重叠费米子进行了晶格模拟。我们把海夸克质量降到$\sim$ 3 MeV,价夸克质量取1-4 MeV。将不同通道中的介子关联函数与部分猝灭的手征微扰理论(ChPT)的预言进行了比较。包括$ε$展开的NLO级,我们提取了ChPT的首阶低能常数,π衰变常数$F$和手性凝聚体$Σ$,作为$F=87.3(5.5)$ MeV和$Σ^{\bar{\mathrm{MS}}}=[237.8(4.0){MeV}]^3$。

英文摘要:

We calculate the meson correlators in the $ε$-regime of two-flavor QCD. On a $16^3\times 32$ lattice with $a\sim 0.11$ fm, the lattice simulations are performed with the dynamical overlap fermions. We reduce the sea quark mass down to $\sim$ 3 MeV and the valence quark masses are taken in the range 1-4 MeV. The meson correlators in various channels are compared with the predictions of (partially quenched) chiral perturbation theory (ChPT). Including the NLO order of the $ε$-expansion, we extract the leading-order low energy constants of ChPT, the pion decay constant $F$ and the chiral condensate $Σ$, as $F=87.3(5.5)$ MeV and $Σ^{\bar{\mathrm{MS}}}=[237.8(4.0){MeV}]^3$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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