论文标题
QCD $θ$ -Vacuum Energy and Axion属性
QCD $θ$-vacuum energy and axion properties
论文作者
论文摘要
在低能量下,强烈的相互作用受与自发性手性对称性断裂相关的金石玻色子的控制,这可以通过手性扰动理论系统地描述。在本文中,我们将该理论应用于研究$θ$ -VACUUM能量密度,因此使用$ N $非降级夸克质量的QCD Axion潜力到近代领先的顺序。通过设置$ n = 3 $,我们在分析和数值上得出轴质量,自耦合,拓扑敏感性和归一化的第四次累积剂,从而考虑了强大的isospin破裂效应。此外,还从辅助轴承搜索实验的轴轴耦合的模型无关部分也是从手性lagangian中提取的,该辅助是补充的异常项,最高为$ \ Mathcal {O}(O}(o}(p^6)$)。
At low energies, the strong interaction is governed by the Goldstone bosons associated with the spontaneous chiral symmetry breaking, which can be systematically described by chiral perturbation theory. In this paper, we apply this theory to study the $θ$-vacuum energy density and hence the QCD axion potential up to next-to-leading order with $N$ non-degenerate quark masses. By setting $N=3$, we then derive the axion mass, self-coupling, topological susceptibility and the normalized fourth cumulant both analytically and numerically, taking the strong isospin breaking effects into account. In addition, the model-independent part of the axion-photon coupling, which is important for axion search experiments, is also extracted from the chiral Lagrangian supplemented with the anomalous terms up to $\mathcal{O}(p^6)$.