论文标题
$ O（N）$型号的紫外线完成$ 6-ε$尺寸：稳定的大型部门
On the UV completion of the $O(N)$ model in $6-ε$ dimensions: a stable large-charge sector
论文作者
论文摘要
我们在$ 6-ε$尺寸的$ O（n）$型号中学习大型电荷扇区。对于$ 4 <d <6 $，在扰动理论中，四分之一的$ o（n）$理论在$ n $中具有UV稳定的固定点。最近有人认为，可以用立方体$ O（n）$模型的IR固定点来描述这个固定点。通过考虑大电荷和弱耦合的双缩放极限，我们计算了大型电荷运算符的两点和所有“极端”更高的相关函数，并在这两张图片之间找到了精确的等效性。发现Instanton的不稳定性在大量费用下被指数级抑制。我们还将$ U（1）$ - 不变的Meson运算符的相关函数在$ O（2n）\ supset u（1）\ times su（n）$理论中，是迈向（高旋转）$ ads/cft $的测试的第一步。
We study large charge sectors in the $O(N)$ model in $6-ε$ dimensions. For $4<d<6$, in perturbation theory, the quartic $O(N)$ theory has a UV stable fixed point at large $N$. It was recently argued that this fixed point can be described in terms of an IR fixed point of a cubic $O(N)$ model. By considering a double scaling limit of large charge and weak couplings, we compute two-point and all "extremal" higher-point correlation functions for large charge operators and find a precise equivalence between both pictures. Instanton instabilities are found to be exponentially suppressed at large charge. We also consider correlation function of $U(1)$-invariant meson operators in the $O(2N)\supset U(1)\times SU(N)$ theory, as a first step towards tests of (higher spin) $AdS/CFT$.
