论文标题
拓扑敏感性和在均匀磁场中的第四次累积
Topological susceptibility and fourth cumulant in a uniform magnetic field
论文作者
论文摘要
我们使用三种味道手性扰动理论（$χ$ pt）在背景磁场中研究了QCD真空的拓扑敏感性和第四次累积，用于任意夸克质量和$ n $ n $ -flavor $χ$χ$ pt，并带有变性夸克质量。我们发现，与两种风味$χ$ pt相比，三种风味$χ$ pt的拓扑敏感性的增强更大。此外，在比较第四个累积剂时，我们发现它的抑制作用与磁场相当，$ eh \ lyssim0.8m_π^{2} $，而对于两种效率$χ$ pt的较低的关键磁场开始，其增强的三效$χ$ pt的较大磁场的增强较大。我们还发现，与弱势磁场相比，与较大的磁场相比，在弱势磁场上，与较大的磁场相比，在弱势磁场上，具有变性夸克的拓扑敏感性在$ n $ - 倍增$χ$ pt中的增强明显更大，并且抑制巨大的磁场在较大的磁场上更大。
We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field using three-flavor chiral perturbation theory ($χ$PT) for arbitrary quark masses and $n$-flavor $χ$PT with degenerate quark masses. We find that the enhancement of the topological susceptibility is larger in the three-flavor $χ$PT compared to two-flavor $χ$PT. Additionally, in comparing the fourth cumulant, we find that its suppression is comparable for magnetic fields, $eH\lesssim 0.8m_π^{2}$, and weaker for larger magnetic fields in three-flavor $χ$PT with its enhancement beginning at a significantly lower critical magnetic field compared to two-flavor $χ$PT. We also find that the enhancement of the topological susceptibility in $n$-flavor $χ$PT with degenerate quarks is significantly larger and the suppression of the topological cumulant significantly greater at weak fields with the critical magnetic field pushed out to larger magnetic fields compared to both two and three-flavor $χ$PT.
