Wilson lines and UV sensitivity in magnetic compactifications
Wilson lines and UV sensitivity in magnetic compactifications
复制标题
磁致密化中的威尔逊线和紫外线敏感性
DOI：
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发表时间：
2017
期刊：
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通讯作者：
Hyun Min Lee
中科院分区：
文献类型：
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作者：
D. Ghilencea;Hyun Min Lee
本文研究了在有磁通的双环面（T2）上紧化的6D N=1超对称有效（阿贝尔）规范理论的紫外（UV）行为。为此，我们在壳外计算了Wilson线态自能的单圈修正。离壳计算实际上是必要的，以捕获通常的有效场论展开的（λ/Λ）次方。特别注意（发散）动量积分的正则化，这与识别相应的反项有关。我们找到了一个反项，这是一个新的高维有效运营商的维度d=6，这是增强了更大的紧致化区域（有效的理论适用），是一致的对称性的理论。它的后果进行了简要的讨论和比较与orbifold紧没有通量。
A bstractWe investigate the ultraviolet (UV) behaviour of 6D N=1 supersymmetric effective (Abelian) gauge theories compactified on a two-torus (T2) with magnetic flux. To this purpose we compute offshell the one-loop correction to the Wilson line state self-energy. The offshell calculation is actually necessary to capture the usual effective field theory expansion in powers of (∂/Λ). Particular care is paid to the regularization of the (divergent) momentum integrals, which is relevant for identifying the corresponding counterterm(s). We find a counterterm which is a new higher dimensional effective operator of dimension d=6, that is enhanced for a larger compactification area (where the effective theory applies) and is consistent with the symmetries of the theory. Its consequences are briefly discussed and comparison is made with orbifold compactifications without flux.