The double-trace from UV to IR flow subtraction of infinities used earlier for the UV-convergent calculations of the Witten tadpole diagrams being applied to the bubble self-energy diagrams gives for them the amazingly simple expressions in case of the four- dimensional boundary space. For every N = 1 … 4 in the O ( N ) symmetric scalar fields model with the conformal Hubbard-Stratonovich field there are three roots of the “old” conformal bootstrap spectral equations that obey unitarity bound demand.

中文翻译：

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AdS 上的 UV 有限“旧”保形引导程序：标量情况

先前用于 Witten 蝌蚪图的 UV 收敛计算的无穷大的从 UV 到 IR 的双迹线相减，为气泡自能图提供了在四维边界空间情况下非常简单的表达式. 对于具有保形 Hubbard-Stratonovich 场的 O ( N ) 对称标量场模型中的每一个 N = 1 ... 4，“旧”保形自举谱方程的三个根服从幺正性边界要求。