无包装的互易性和自调整关系
Reciprocity and self-tuning relations without wrapping
摘要：
我们考虑标量威尔逊算子的${\cal N}=4$ SYM在高自旋，$s$，和通用扭曲的多色限制。我们表明，相应的（非）线性积分方程（源于渐近Bethe Anastomic方程）尊重一定的“互易性”和功能的“自调谐”的关系，所有条款$\frac{1}{s(\ln s)^n}$（包括）在任何固定的't Hooft耦合$λ$。当然，这个关系式直接包含了$s$中相同阶的反常维的众所周知的（homeland）关系式。在此基础上，我们给出了一些证据，即在固定的t Hooft耦合下，包裹修正应进入非线性积分方程和下一阶反常维数展开式$\frac{(\ln s)^{2}}{s^2}$，以这样的方式重新建立上述关系（否则将失败）。
英文摘要：
We consider scalar Wilson operators of ${\cal N}=4$ SYM at high spin, $s$, and generic twist in the multi-color limit. We show that the corresponding (non)linear integral equations (originating from the asymptotic Bethe Ansatz equations) respect certain 'reciprocity' and functional 'self-tuning' relations up to all terms $\frac{1}{s(\ln s)^n}$ (inclusive) at any fixed 't Hooft coupling $λ$. Of course, this relation entails straightforwardly the well-known (homonymous) relations for the anomalous dimension at the same order in $s$. On this basis we give some evidence that wrapping corrections should enter the non-linear integral equation and anomalous dimension expansions at the next order $\frac{(\ln s)^{2}}{s^2}$, at fixed 't Hooft coupling, in such a way to re-establish the aforementioned relation (which fails otherwise).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
