Vacuum energy of the supersymmetric $\mathbb{C}P^{N-1}$ model on $\mathbb{R}\times S^1$ in the $1/N$ expansion
Vacuum energy of the supersymmetric $\mathbb{C}P^{N-1}$ model on $\mathbb{R}\times S^1$ in the $1/N$ expansion
复制标题
$mathbb{R} imes S^1$ 上 $1/N$ 展开式中超对称 $mathbb{C}P^{N-1}$ 模型的真空能
DOI：
10.1093/ptep/ptaa066
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发表时间：
2020
影响因子：
3.5
通讯作者：
Suzuki Hiroshi
中科院分区：
文献类型：
--
作者：
Ishikawa Kosuke;Okuto Morikawa;Shibata Kazuya;Suzuki Hiroshi
利用展开式，我们计算了二维超对称(SUSY)模型在二阶扭转边界条件下的真空能量。藤森等人最近对这一数量进行了积极的研究。使用半经典近似的基础上，激发了一个可能的半经典图像上的红外重整子。在我们的计算中，我们发现参数经历了重整化，并且在重整化之后，真空能量变得紫外线有限。在展开式的次前级，我们发现真空能量被半径归一化后，表现为小的反幂，这里是动力学标度。由于真空能量与重整化t Hooft耦合有关，与我们计算的展开级数有关，真空能量是一个纯粹的非微扰量，不存在明确定义的弱耦合展开。
By employing theexpansion, we compute the vacuum energyof the two-dimensional supersymmetric (SUSY)model onwithtwisted boundary conditions to the second order in a SUSY-breaking parameter. This quantity was vigorously studied recently by Fujimori et al. using a semi-classical approximation based on the bion, motivated by a possible semi-classical picture on the infrared renormalon. In our calculation, we find that the parameterreceives renormalization and, after this renormalization, the vacuum energy becomes ultraviolet finite. To the next-to-leading order of theexpansion, we find that the vacuum energy normalized by the radius of the,,behaves as inverse powers offorsmall, whereis the dynamical scale. Sinceis related to the renormalized ’t Hooft couplingas, to the order of theexpansion we work out, the vacuum energy is a purely non-perturbative quantity and has no well-defined weak coupling expansion in.