黑洞背景下轴子物质密度分布的研究

The density distribution of axion matter on the black hole background

本文研究了不同黑洞背景下轴子物质密度的分布,推导了弯曲时空中玻色子的波函数方程.分别计算了带电黑洞背景下和dilaton黑洞背景下的轴子密度分布,讨论了黑洞质量与电/磁荷对轴子密度的影响,分析了化学势?对轴子密度的重要作用.结果发现密度呈单调下降或振荡减小,?>0对应高密度的超流态,?<0描述低密度的正常态,这表明黑洞背景下可能形成高密度的轴子有序态.另外,计算了de-Sitter黑洞背景中轴子的渐进关联函数,还讨论了宇宙常数和化学势对关联函数的影响.

The density distribution of axion matter on the different black hole background is studied in this article, and some wave function equations are derived on the curve space-time. The density distribution of axion are calculated respectively on the charged black hole and dilaton black hole background. The impact of black hole mass and electric/magnetic charge to the axion density is discussed, and the important role of chemical potential/2 for axion density is analyzed. The results show that the density monotonously decreases or oscillation decreases. ~〉0 is corresponding to a high-density superfluid state, and/2〈0 describes a low-density normal state. This means that the axion ordered state of high density may be formed under the black hole background. In addition, the asymptotic correlation function of axion is calculated on a de-Sitter black hole background, and the influence of cosmological constant and chemical potential on the correlation function is also discussed.