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arXiv 0906.0890hep-ph
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双味QCD的有效模型:从小到大$m_q$

Effective models of two-flavor QCD: from small towards large $m_q$

T. Kahara, K. Tuominen

摘要:

我们研究了手征场和Polyakov圈的有效模型,这些模型有望描述双味QCD相结构的动力学。考虑用线性西格玛模型或Nambu-Jona-Lasinio模型描述的手征扇区,并研究这些模型在平均场水平上与Polyakov环耦合时,如何表现为裸夸克(或π介子)质量增加的函数.我们发现定性相似的行为的情况下,线性西格玛模型和Nambu-Jona-Lasinio模型,并与现有的晶格数据,表明人们不能决定性地决定哪一个或两个近似对称驱动的物理点附近的相变。

英文摘要:

We study effective models of chiral fields and Polyakov loop expected to describe the dynamics responsible for the phase structure of two-flavor QCD. We consider chiral sector described either using linear sigma model or Nambu-Jona-Lasinio model and study how these models, on the mean-field level when coupled with the Polyakov loop, behave as a function of increasing bare quark (or pion) mass. We find qualitatively similar behaviors for the cases of linear sigma model and Nambu-Jona-Lasinio model and, relating to existing lattice data, show that one cannot conclusively decide which or the two approximate symmetries drives the phase transitions near the physical point.

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