AI 中文总结
研究具有广义畴壁费米子的微扰量子电动力学，通过背景场方法重新推导一阶修正，二阶时获得新局域算符插入（海鸥顶点），用于规范协变计算，推导广义畴壁费米子狄拉克算子直至\(\mathcal{O}(e^2)\)的电磁修正展开式。
AI 中文摘要
本文推导了广义畴壁费米子狄拉克算子的展开式，包括直至\(\mathcal{O}(e^2)\)的电磁修正，这与具有手征费米子的强子过程辐射修正的晶格计算相关。在畴壁费米子QCD + QED作用的广义表述中，物理夸克场与相应的五维场相关，这取决于（QCD + QED）规范链，在展开关联函数时会产生额外接触项。我们用背景场方法重新推导了已知的一阶修正，并在二阶时得到规范协变计算所需的新的局域算符插入（海鸥顶点）。
英文摘要
In this paper we derive the expansion of the generalized domain-wall fermion Dirac operator including electromagnetic corrections up to $\mathcal{O}(e^2)$, which are relevant for lattice computations of radiative corrections to hadronic processes with chiral fermions. In the generalized formulation of the domain-wall fermionic QCD+QED action, physical quark fields are related to the corresponding five-dimensional fields in a way which depends on the (QCD+QED) gauge links, generating extra contact terms when expanding correlation functions with respect to the electric charge. We re-derive the known first-order correction using a background-field approach and, at second order, obtain new local operator insertions (seagull vertices) required for gauge covariant calculations.
