论文标题
戈德斯通玻色子的一般异常匹配
General anomaly matching by Goldstone bosons
论文作者
论文摘要
我们描述了自发对称性的金石玻色子如何将$ g \ to to h $折断，可以在非扰动级别的对称组$ g $下繁殖紫外线理论的异常。这是通过根据$ d+1 $ dimensions中的可逆字段理论对Wess-Zumino-witten术语的一般定义来完成的，该理论描述了$ d $ d $维紫外线理论的异常。隐藏的本地对称性$ \ widehat H $，用于描述coset Construction $ g/h $中的金石玻色子，它起着重要作用。我们的定义自然会导致隐藏的本地量规组$ \ widehat h $的概括$θ$ - 角。我们用$ {\ rm so}（n_c）$（或$ {\ rm spin}（n_c）$）在四个维度中说明了这一点。
We describe how Goldstone bosons of spontaneous symmetry breaking $G \to H$ can reproduce anomalies of UV theories under the symmetry group $G$ at the nonperturbative level. This is done by giving a general definition of Wess-Zumino-Witten terms in terms of the invertible field theories in $d+1$ dimensions which describe the anomalies of $d$-dimensional UV theories. The hidden local symmetry $\widehat H$, which is used to describe Goldstone bosons in coset construction $G/H$, plays an important role. Our definition also naturally leads to generalized $θ$-angles of the hidden local gauge group $\widehat H$. We illustrate this point by ${\rm SO}(N_c)$ (or ${\rm Spin}(N_c)$) QCD-like theories in four dimensions.
