arXiv 1202.55842012-02hep-phhep-latnucl-th

具有ZNc对称性的类QCD理论

A QCD-like theory with the ZNc symmetry

Hiroaki Kouno, Yuji Sakai, Takahiro Makiyama, Kouhei Tokunaga, Takahiro Sasaki, Masanobu Yahiro

备注：: 11 pages, 21 figures. Figures 15 and 16 are newly added, while Figs. 6, 10, 14d and 15d in the previous version have been omitted. Some sentences and typos have been revised

摘要：

我们提出了一个具有ZNc对称性的类QCD理论。在SU（Nc）规范理论中，对Nc简并味夸克施加了与味有关的扭曲边界条件。类QCD理论有助于理解色禁闭的机制。通过在Polyakov圈扩展的Nambu-Jona-Lasinio（PNJL）模型上引入TBC，研究了类QCD理论的动力学性质. TBC模型适用于两种和三种颜色的情况。ZNc对称性在低于某个温度Tc时保持不变，但在高于Tc时自发破缺。低于Tc的颜色限制保持了风味对称性。在Tc以上，味对称性被破缺，但这种破缺被Polyakov圈与手征凝聚体之间的纠缠所抑制。特别是在低温下，TBC模型的动力学类似于PNJL模型与标准的费米子边界条件，表明ZNc对称性是一个很好的近似概念，在后者的模型，即使当前夸克质量很小。由于类QCD理论不存在符号问题，因此我们可以用格点量子色动力学来检验目前的预言。

英文摘要：

We propose a QCD-like theory with the ZNc symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on Nc degenerate flavor quarksin the SU(Nc) gauge theory. The QCD-like theory is useful to understand the mechanism of color confinement. Dynamics of the QCD-like theory is studied by imposing the TBC on the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. The TBC model is applied to two- and three-color cases. The ZNc symmetry is preserved below some temperature Tc, but spontaneously broken above Tc. The color confinement below Tc preserves the flavor symmetry. Above Tc, the flavor symmetry is broken, but the breaking is suppressed by the entanglement between the Polyakov loop and the chiral condensate. Particularly at low temperature, dynamics of the TBC model is similar to that of the PNJL model with the standard fermion boundary condition, indicating that the ZNc symmetry is a good approximate concept in the latter model even if the current quark mass is small. The present prediction can be tested in future by lattice QCD, since the QCD-like theory has no sign problem.

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摘要：

英文摘要：

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