论文标题
BCF异常和高型介子理论中的高层结构
BCF anomaly and higher-group structure in the low energy effective theories of mesons
论文作者
论文摘要
我们从低能量有效理论的角度讨论了Anber和Poppitz最初获得的无质量QCD样理论的BCF异常。我们假设类似QCD的理论表现出由于双线性冷凝物而引起的自发性手性对称性。使用BCF异常的'T Hooft异常匹配条件，我们发现低能有效动作由手性lagrangian和West-Zumino-witten术语组成，以及$η^\ prime $ erson的交互项与背景计的$η^\ prime $ erson的交互作用，以及背景量规范的单位式符号。结果表明，由于如何将动作提升到具有边界的五维时空，因此低能有效作用取消了与$η^\ prime $相关的量子不一致之处。 $η^\ prime $项在探索低能的新兴高层结构中起着重要作用。
We discuss the BCF anomaly of massless QCD-like theories, first obtained by Anber and Poppitz, from the viewpoint of the low energy effective theories. We assume that the QCD-like theories exhibit spontaneous chiral symmetry breaking due to a quark bilinear condensate. Using the 't Hooft anomaly matching condition for the BCF anomaly, we find that the low energy effective action is composed of a chiral Lagrangian and a Wess-Zumino-Witten term together with an interaction term of the $η^\prime$ meson with the background gauge field for a discrete one-form symmetry. It is shown that the low energy effective action cancels the quantum inconsistencies associated with $η^\prime$ due to an ambiguity of how to uplift the action to a five-dimensional spacetime with a boundary. The $η^\prime$ term plays a substantial role in exploring the emergent higher-group structure at low energies.
