冷QCD物质的多重性、概率和正则扇区
Multiplicity, probabilities, and canonical sectors for the cold QCD matter
摘要：
在足够低的温度下，不需要有限实化学势下的任何数值数据，我们可以通过具有少量拟和的虚化学势区来阐明具有固定夸克数的正则配分函数。正则配分函数与对撞机实验中观测到的多重数分布有关，因此，利用正则方法可以获得QCD物质性质的重要信息。在本文中，我们估计了多重熵，组态熵，和点态信息，可以计算的正则配分函数理解有限密度下的冷QCD物质的性质。利用大的$N_\mathrm{c}$极限（其中$N_\mathrm{c}$是颜色数），我们可以简单地估计它们的变化趋势，从而阐明它们与夸克相位的关系。此外，我们还从正则扇区的角度讨论了非平凡基态简并度。
英文摘要：
At sufficiently low temperature, without requiring any numerical data at finite real chemical potential, we can clarify the canonical partition function with fixed quark number via the imaginary chemical potential region with few ansatzs. The canonical partition function relates to the multiplicity distribution which can be observed in collider experiments and thus we may access important information of the properties of the QCD matter based on the canonical method. In this paper, we estimate the multiplicity entropy, the configuration entropy, and the pointwise information which can be calculable with the canonical partition function to understand the properties of the cold QCD matter at finite density. With the large $N_\mathrm{c}$ limit where $N_\mathrm{c}$ is the number of colors, we can simply estimate the tendency of them, and then the relation to the quarkyonic phase is clarified. In addition, we discuss the nontrivial ground state degeneracy from the viewpoint of the canonical sectors.
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