论文标题
新兴的阿德勒·贝登定理
Emergent Adler-Bardeen theorem
论文作者
论文摘要
我们考虑一个Qed $ _ {D+1} $，$ d = 1,3 $晶格模型，带有新兴的Lorentz或手性对称性，无论是在互动无关或边缘时的互动时。尽管相关性存在对称性破坏校正，但我们证明，即使在有限的晶格下，Adler-Bardeen（AB）的非氮呈属性也处于非扰动水平：所有对异常的辐射校正都在消失。该分析使用了一种基于通过精确重新归一化方法和病房身份获得的非扰动规律性特性组合的新技术。因此，AB性质对于标准模型的可重量化性必不可少，因此是一种强大的功能，至少在所考虑的晶格模型类别中，对可能的对称性破坏术语没有任何约束。
We consider a QED$_{d+1}$, $d=1,3$ lattice model with emergent Lorentz or chiral symmetry, both when the interaction is irrelevant or marginal. While the correlations present symmetry breaking corrections, we prove that the Adler-Bardeen (AB) non-renormalization property holds at a non-perturbative level even at finite lattice: all radiative corrections to the anomaly are vanishing. The analysis uses a new technique based on the combination of non-perturbative regularity properties obtained by exact renormalization Group methods and Ward Identities. The AB property, essential for the renormalizability of the standard model, is therefore a robust feature imposing no constraints on possible symmetry breaking terms, at least in the class of lattice models considered.
