标题： 低能定理和异常振幅中的线性破坏 显示英文标题

标题： Low-Energy Theorems and Linearity Breaking in Anomalous Amplitudes

摘要： 本研究通过探索(n+1)点微扰振幅在2n维框架中的表现，旨在更好地理解异常现象。 所涉及的结构将轴向和矢量顶点组合成奇数张量。 这种配置允许多种表达式，这些表达式在被积函数层面被视为恒等式。 然而，在环路积分之后，它们的连接并非自动完成，因为振幅的发散性质与表面项相关。 该主题的背景是积分的线性性与异常背景下观察到的平移不变性之间的冲突。 这使得无法同时满足所有对称性和线性性属性，这些约束通过Ward恒等式和格林函数之间的关系产生。 使用已知的隐式正则化方法，我们表明迹的选择是一种用于选择每个对称性关系中出现的异常贡献量的方法。 这种想法通过近期工作中关于如何取迹的方案出现，但我们引入了一个更全面的观点。 我们还强调有限振幅的低能定理是这些破坏的来源，并证明了无论做出何种选择，异常的总量保持不变。 显示英文摘要

摘要： This study seeks a better comprehension of anomalies by exploring (n+1)-point perturbative amplitudes in a 2n-dimensional framework. The involved structures combine axial and vector vertices into odd tensors. This configuration enables diverse expressions, considered identities at the integrand level. However, connecting them is not automatic after loop integration, as the divergent nature of amplitudes links to surface terms. The background to this subject is the conflict between the linearity of integration and the translational invariance observed in the context of anomalies. That makes it impossible to simultaneously satisfy all symmetry and linearity properties, constraints that arise through Ward identities and relations among Green functions. Using the method known as Implicit Regularization, we show that trace choices are a means to select the amount of anomaly contributions appearing in each symmetry relation. Such an idea appeared through recipes to take traces in recent works, but we introduce a more complete view. We also emphasize low-energy theorems of finite amplitudes as the source of these violations, proving that the total amount of anomaly remains fixed regardless of any choices.