Infrared renormalon in the supersymmetric $\mathbb{C}P^{N-1}$ model on $\mathbb{R}\times S^1$
Infrared renormalon in the supersymmetric $\mathbb{C}P^{N-1}$ model on $\mathbb{R}\times S^1$
复制标题
$mathbb{R} imes S^1$ 上超对称 $mathbb{C}P^{N-1}$ 模型中的红外重整
DOI：
10.1093/ptep/ptaa002
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发表时间：
2020
影响因子：
3.5
通讯作者：
Takaura Hiromasa
中科院分区：
文献类型：
--
作者：
Ishikawa Kosuke;Morikawa Okuto;Nakayama Akira;Shibata Kazuya;Suzuki Hiroshi;Takaura Hiromasa
In the leading order of the large-approximation, we study the renormalon ambiguity in the gluon (or, more appropriately, photon) condensate in the 2D supersymmetricmodel onwith thetwisted boundary conditions. In our large-limit, the combination, whereis the dynamical scale andis theradius, is kept fixed (we setso that the perturbative expansion with respect to the coupling constant at the mass scaleis meaningful). We extract the perturbative part from the large-expression of the gluon condensate and obtain the corresponding Borel transform. For, we find that the Borel singularity at, which exists in the system on the uncompactifiedand corresponds to twice the minimal bion action, disappears. Instead, an unfamiliar renormalon singularityemergesatfor the compactified space. The semi-classical interpretation of this peculiar singularity is not clear becauseis not dividable by the minimal bion action. It appears that our observation for the system onprompts reconsideration on the semi-classical bion picture of the infrared renormalon.
