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arXiv 1203.0508hep-phhep-lat
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格点上的拓扑磁化率与三味夸克凝聚

Topological susceptibility on the lattice and the three-flavour quark condensate

Veronique Bernard, Sebastien Descotes-Genon, Guillaume Toucas

摘要:

我们重新分析的拓扑磁化率假设的可能性,一个显着的顺磁抑制的三味夸克凝聚和相关的增强真空涨落的$s\bar{s}$对。使用的框架,我们指出,在物理点附近进行的模拟,与一个显着的质量层次之间的u,d和s动力学夸克,是不能够解开的贡献,从夸克凝聚和海$s\bar{s}$对波动,和模拟与三个轻夸克质量相同的顺序更适合于此目的。我们执行的组合适合最近的RBC/UKQCD数据的赝标质量和衰变常数以及拓扑磁化率,我们重新考虑在我们的框架中的晶格间距的确定,工作的手征拉格朗日参数的后果。在手征极限下,我们得到了三味夸克凝聚的σ(3;2 GeV)^1/3=243 \pm 12 MeV。我们注意到一个显着的抑制相比,两味夸克凝聚体西格玛(2;2 GeV)/西格玛(3;2 GeV)=1.51 \pm 0.11,我们证实了以前的研究结果之间的竞争领先秩序和下一个领先秩序的贡献在三味手征系列。

英文摘要:

We reanalyse the topological susceptibility assuming the possibility of a significant paramagnetic suppression of the three-flavour quark condensate and a correlated enhancement of vacuum fluctuations of $s\bar{s}$ pairs. Using the framework of resummed ChPT, we point out that simulations performed near the physical point, with a significant mass hierarchy between u,d and s dynamical quarks, are not able to disentangle the contributions from the quark condensate and sea $s\bar{s}$-pair fluctuations, and that simulations with three light quark masses of the same order are better suited for this purpose. We perform a combined fit of recent RBC/UKQCD data on pseudoscalar masses and decay constants as well as the topological susceptibility, and we reconsider the determination of lattice spacings in our framework, working out the consequences on the parameters of the chiral Lagrangian. We obtain Sigma(3;2 GeV)^1/3=243 \pm 12 MeV for the three-flavour quark condensate in the chiral limit. We notice a significant suppression compared to the two-flavour quark condensate Sigma(2;2 GeV)/Sigma(3;2 GeV)=1.51\pm 0.11 and we confirm previous findings of a competition between leading order and next-to-leading order contributions in three-flavour chiral series.

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