论文标题
缩放变量和夸克 - 戴隆二重性
Scaled variables and the quark-hadron duality
论文作者
论文摘要
比较了相应模型的有效退化因子缩放的Hadron的理想气体和$（2+1）$的热力学量。我们发现，就尺度变量而言，晶格QCD和强子共振气体（HRG）模型的夸克 - 戴隆二元性消失了。但是，我们出乎意料地揭示了缩放变量导致晶格QCD的夸克 - 戴隆二元性以及Kaons和Antikains的量子理想气体，即，那些含有所有三个夸克$ u，d，d，s $ s＆Antiquarks的Hadron的理想气体的理想气体。 KAON理想气体的缩放结果与晶格QCD数据之间的令人满意的一致性在整个温度范围内的体积值大。在Kaons的理想气体中，没有任何相变。然而，在我们的计算中，理想气体和晶格QCD的缩放热力学量遵循相同的定性行为，彼此之间彼此一致，尤其是在扰动区域的高温下。
The thermodynamic quantities of the ideal gas of hadrons and the $(2+1)$--flavor lattice QCD scaled by the effective degeneracy factors of the corresponding models are compared. We have found that in terms of the scaled variables the quark-hadron duality of the lattice QCD and the hadron resonance gas (HRG) model disappears. However, we have unexpectedly revealed that the scaled variables lead to the quark-hadron duality of the lattice QCD and the quantum ideal gas of kaons and antikaons, namely, the ideal gas of those hadrons that contain all the three quarks $u,d,s$ and their antiquarks. Satisfactory agreement between the scaled results of the kaon ideal gas and the lattice QCD data is achieved at large values of the volume in the entire temperature range. In the ideal gas of kaons there is no any phase transition. Nevertheless, in our calculations the scaled thermodynamic quantities of the ideal gas and the lattice QCD follow the same qualitative behavior and are consistent with each other especially at high temperatures in the perturbative region.
