arXiv 1407.09542014-07-03hep-ph

低能夸克有效耦合的真空极化修正

Vacuum polarization corrections to low energy quark effective couplings

Ademar Paulo, Fabio L. Braghin

备注：: 9 pages, accepted for publication
发表信息：: Phys. Rev. D 90, 014049 (2014)
DOI：: 10.1103/PhysRevD.90.014049

摘要：

在这项工作中，低能准时的有效夸克耦合的修正计算到第八阶的标量夸克-反夸克凝聚考虑真空极化效应。出发点是基于QCD的NJL模型。通过将夸克场分成两个部分，一个是凝聚的，另一个是相互作用的夸克，在通常辅助场的帮助下，将标量辅助场积分出来，得到了相互作用夸克场的有效作用量，标量辅助场在真空中约化为夸克-反夸克凝聚，行列式展开为夸克-反夸克双线性的幂，产生手征不变量有效2N-夸克相互作用（N=2，3.）。估算了相应的耦合常数和有效质量，总的趋势是随着有效胶子质量的增加，有效耦合常数值减小。所有的值都符合唯象拟合。

英文摘要：

In this work corrections to low energy punctual effective quark couplings up to the eighth order are calculated by considering vacuum polarization effects with the scalar quark-antiquark condensate. The departing point is a QCD-based NJL model. By separating the quark field into two components, one that condenses and another one for interacting quarks, the former is integrated out with the help of usual auxiliary fields and an effective action in terms for interacting quark fields is found. The scalar auxiliary field reduces to the quark-antiquark condensate in the vacuum and the determinant is expanded in powers of the quark-antiquark bilinears generating chiral invariant effective 2N-quark interactions (N=2, 3...). The corresponding coupling constants and effective masses are estimated, and the general trend is that for increasing the effective gluon mass the values of the effective coupling constants decrease. All the values are in good agreement with phenomenological fits.

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