发表机构
University of Toronto（多伦多大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究四导数标量场理论的UV/IR标度依赖性，采用标准重整化的类似方法，通过单粒子不可约函数的UV和IR极点部分确定类似β函数，推导满足类似Callan–Symanzik方程的在壳散射振幅。
AI 中文摘要
标准重整化程序的类似方法可能对四导数理论有用，我们在m→0极限下以四导数标量场理论为例说明。重整化标度μ出现在与紫外（UV）和红外（IR）发散相关的动量依赖对数中。单圈水平上，在壳散射振幅满足类似Callan–Symanzik方程，涉及类似β函数，这些函数由单粒子不可约（1PI）函数的紫外和红外极点部分共同确定。
英文摘要
An analog of the standard renormalization procedure may be useful for four-derivative theories, and we illustrate it with the four-derivative scalar field theory in the $m\to0$ limit. The renormalization scale $μ$ appears in momentum-dependent logarithms associated with both UV and IR divergences. At one loop, the on-shell scattering amplitude satisfies an analog Callan--Symanzik equation involving the analog beta functions. These functions are determined from the combined UV and IR pole parts of the 1PI functions.
Comments15 pages, 3 figures, added sections 4 and 5, no other changes
