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arXiv 0708.0984hep-ph
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eta和eta'质量的微观夸克研究

Microscopic quark study of the eta and eta' masses

O. Lakhina, P. Bicudo

摘要:

我们表明,有必要超越BCS(彩虹阶梯)近似,从$π$和K质量中分离出$η$和$η'$质量。我们确定了Schwinger-Dyson夸克质量隙方程和Bethe-Salpeter夸克-反夸克束缚态方程的单夸克圈图的自洽集。我们确定占主导地位的图表,我们专注于boundstate方程。我们详细的Bethe-Salpeter方程,增加了占主导地位的新的图表的BCS内核。文中还讨论了有关的数值计算方法。我们还讨论了与格点量子色动力学有关的一、二、三光味的理想情况,以及现实夸克质量的情况。

英文摘要:

We show that it is necessary to go beyond the BCS (rainbow-ladder) approximation to split the $η$ and $η'$ masses from the $π$ and K masses. We determine the self-consistent set of one-quark-loop diagrams both for the Schwinger-Dyson quark mass gap equation and for the Bethe-Salpeter quark-antiquark boundstate equation. We identify the dominant diagrams, and we focus on the boundstate equation. We detail the Bethe-Salpeter equation, adding the dominant new diagram to the BCS kernel. The relevant numerical techniques are also discussed. The ideal cases of one, two and three light flavors, relevant to lattice QCD are also explored, together with the case of realistic current quark masses.

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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