发表机构
Universidade Federal da Paraíba（帕拉伊巴联邦大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究非局域洛伦兹违反量子电动力学中CFJ项的辐射产生，通过全非局域形状因子引入非局域性，利用导数展开推导诱导贡献，分析紫外行为，两类形状因子分别自然收敛或经阿贝尔正则化使CFJ系数有限，为控制紫外贡献提供自然框架。
AI 中文摘要
我们研究了量子电动力学的非局域洛伦兹和CPT违反扩展中卡罗尔 - 菲尔德 - 杰基夫（CFJ）项的辐射产生。通过全非局域形状因子引入非局域性，其是费米子部分中狄拉克算子的函数。利用单圈费米子行列式的导数展开，我们推导了诱导的CFJ贡献，并在维克旋转后分析其紫外行为。对于一类非局域形状因子，圈积分自然收敛，无需外部紫外调节器即可得到有限的CFJ系数。对于另一类，通过阿贝尔正则化处方使系数有限。在两种情况下，CFJ结构得以保留，其系数因费米子质量与非局域尺度之比而连续变形。我们的结果表明，非局域性为控制辐射诱导拓扑项的紫外贡献提供了一个自然框架。
英文摘要
We investigate the radiative generation of the Carroll--Field--Jackiw (CFJ) term in nonlocal Lorentz- and CPT-violating extensions of quantum electrodynamics. Nonlocality is introduced in the fermionic sector through entire form factors depending on the Dirac operator. Using the Fréchet and derivative expansions of the one-loop fermionic determinant, we derive the induced CFJ contribution and analyze its ultraviolet behavior after Wick rotation. For one class of form factors, the loop integrals are absolutely convergent at finite nonlocality scale $Λ$, without requiring an additional UV regulator. For another class of form factors, the CFJ coefficient is defined through an Abel regularization prescription. In both cases, the CFJ structure is preserved and its coefficient is continuously modulated by the ratio between the fermion mass and the nonlocality scale. Thus, nonlocality removes the routing-, surface-term-, and UV-evanescent ambiguities of the finite-$Λ$ loop amplitude, although UV convergence alone does not imply complete prescription independence of the finite functional determinant.
Comments23 pages, 5 figures, version accepted to EPJC
Journal refEur. Phys. J. C 86, 1131 (2026)
DOI：10.1140/epjc/s10052-026-16399-0
