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arXiv 2003.13876hep-th
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QCD 真空中更高的拓扑电荷与轴子宇宙学

Higher topological charge in the QCD vacuum and axion cosmology

Physics Department, Brookhaven National Laboratory（布鲁克海文国家实验室）

Fabian Rennecke

备注：
19 pages, 13 figures. v4: more meaningful title
发表信息：
Phys. Rev. Research 2, 033359 (2020)
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AI总结：

研究具有更高拓扑电荷的规范场构型对 QCD 真空结构的影响，通过拓扑磁化率和轴子暗物质产生来探索，发现其对轴子暗物质产生有影响，拓扑磁化率有特征温度依赖性。

摘要：

结果表明，具有更高拓扑电荷的规范场构型会改变 QCD 真空的结构，这反映在其对 CP 破坏拓扑相位θ的依赖性上。为了探索这一点，本文研究了拓扑磁化率和轴子暗物质的产生。前者表征拓扑电荷分布，因此是 QCD 拓扑结构的灵敏探针。后者取决于轴子的有效势，而有效势由 QCD 的θ依赖性决定。因此，通过轴子的真空重排机制产生冷暗物质会受到更高拓扑电荷效应的影响。本文在高温的解禁闭相中对此进行了定性讨论，在该相中，基于具有任意拓扑电荷的瞬子稀薄气体的描述是有效的。结果，由于θ依赖性的非谐修正，拓扑磁化率呈现出特征温度依赖性。此外，多瞬子效应产生了一种增加轴子暗物质数量的拓扑机制。

英文摘要：

It is shown that gauge field configurations with higher topological charge modify the structure of the QCD vacuum, which is reflected in its dependence on the CP-violating topological phase $θ$. To explore this, topological susceptibilities and the production of axion dark matter are studied here. The former characterize the topological charge distribution and are therefore sensitive probes of the topological structure of QCD. The latter depends on the effective potential of axions, which is determined by the $θ$-dependence of QCD. The production of cold dark matter through the vacuum realignement mechanism of axions can therefore be affected by higher topological charge effects. This is discussed qualitatively in the deconfined phase at high temperatures, where a description based on a dilute gas of instantons with arbitrary topological charge is valid. As a result, topological susceptibilities exhibit a characteristic temperature dependence due to anharmonic modifications of the $θ$-dependence. Furthermore, multi-instanton effects give rise to a topological mechanism to increase the amount of axion dark matter.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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