arXiv 1401.30992014-01hep-phnucl-th

Schwinger-Dyson形式中标量双夸克胶子的非微扰效应

A non-perturbative effect of gluons for scalar diquark in the Schwinger-Dyson formalism

Shotaro Imai, Hideo Suganuma

备注：: 5 pages, 5 figures, Contribution of proceedings of XV International Conference on Hadron Spectroscopy-Hadron 2013 (Hadron 2013)

摘要：

双夸克态是强子物理中重要的有效自由度，特别是对多夸克物理和重强子态结构的研究。利用Schwinger-Dyson方法，研究了朗道规范中重正化群改进耦合的标量双夸克胶子的非微扰效应。在这里，我们把标量双夸克作为一个有效的自由度与一个特殊的大小，而双夸克原来是一个束缚态的两个夸克的对象。由于双夸克具有非零色荷，它与胶子强烈相互作用。考虑双夸克的尺寸效应，我们计算了胶子非微扰效应对双夸克的影响。我们研究了裸双夸克质量恒定和运行夸克自能为两倍的两种情况下双夸克的质量函数。发现双夸克态，特别是小的双夸克态，由于胶子缀饰效应而获得了较大的有效质量。标量双夸克质量似乎是由非微扰效应动态产生的，尽管它不具有手征对称性。

英文摘要：

The diquark has been considered to be important effective degrees of freedom in hadron physics, especially for multi-quark physics and the structure of heavy hadronic states. Using the Schwinger-Dyson formalism, we investigate the non-perturbative effect of gluons for scalar diquarks with renormalization-group improved coupling in the Landau gauge. Here, we treat the scalar diquark as an effective degree of freedom with a peculiar size, while the diquark is originally a bound-state-like object of two quarks. Since the diquark has a non-zero color charge, it strongly interacts with gluons. We evaluate the gluonic non-perturbative effect to the diquark, considering the size effect of the diquark. We investigate the mass function of the diquark in both cases with a constant bare diquark mass and twice of the running quark self-energy. It is found that the diquark, especially the small diquark, obtains a large effective mass by the gluonic dressing effect. The scalar diquark mass seems to be dynamically generated by the non-perturbative effect, although it does not have the chiral symmetry.

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