论文标题
驯服复兴的超紫罗兰肾上腺肾上腺龙
Taming a resurgent ultra-violet renormalon
论文作者
论文摘要
量子场理论中的扰动扩展存在至少两个原因：Feynman图的数量随着回路数量而大大增加，而重新归一化的过程可能会使某些图的贡献很大。我们从6维中的$ ϕ^3 $理论的超暴renormalon中给出了第二个问题的示例，我们可以在其中计算到非常高的循环顺序。驯服这种肾上腺龙涉及最近的复兴工作。与Yukawa理论在4个维度上的相应问题相比，这一挑战的要求要大得多。
Perturbative expansions in quantum field theory diverge for at least two reasons: the number of Feynman diagrams increases dramatically with the loop number and the process of renormalization may make the contribution of some diagrams large. We give an example of the second problem, from an ultra-violent renormalon of $ϕ^3$ theory in 6 dimensions, where we can compute to very high loop-order. Taming this renormalon involves recent work on resurgence. This challenge is much more demanding than the corresponding problem for Yukawa theory in 4 dimensions.
