AI 中文总结
研究卡尔布-拉蒙德标量电动力学的单圈有效势，基于复标量场与电磁场及卡尔布-拉蒙德场耦合的模型，利用维数正规化计算量子修正并消除紫外发散，得出有限重整化有效势，其额外张量相互作用修改了真空结构。
AI 中文摘要
在这项工作中，我们研究了卡尔布-拉蒙德标量电动力学的单圈有效势。该模型基于一个复标量场，它像往常一样与电磁场耦合，还通过与2-形式规范场的强度张量相关的对偶矢量与卡尔布-拉蒙德场耦合。电磁场和卡尔布-拉蒙德场存在额外的拓扑耦合。利用维数正规化计算卡尔布-拉蒙德部分产生的量子修正，并通过引入适当的抵消项消除紫外发散，得到有限的重整化有效势。我们表明，额外的张量相互作用对真空结构产生了特征性修改，同时在有效理论的有效性范围内保持了微扰一致性。
英文摘要
In this work, we study the effective potential at one loop for the Kalb-Ramond scalar electrodynamics. The model is based on a complex scalar field coupled to the electromagnetic field as usual, and also to the Kalb-Ramond field through the dual vector associated with the strength tensor of the $2$-form gauge field. There is an additional topological coupling of the electromagnetic field and the Kalb-Ramond field. The quantum corrections generated by the Kalb-Ramond sector are computed using dimensional regularization, and the ultraviolet divergences are removed by introducing the appropriate counterterms, leading to a finite renormalized effective potential. We find that the effective potential at one-loop generates terms of the form $ϕ^6$, which is not present in the original bare Lagrangian. As a result, we introduced new counter terms to eliminate such divergences. The theory thus considered is not closed under renormalization.
Comments6 pages, 1 figure, some corrections were included
