论文标题

雷诺马龙在鲍雷尔飞机以外

Renormalons beyond the Borel plane

论文作者

Cavalcanti, Erich

论文摘要

肾上腺统一度是渐近扰动序列与现场理论模型的不同行为的已知来源。这些奇异性生活在Borel平面上,并负责物理平面的歧义。我们建议田间理论可以使雷诺马龙超出通常的第一骨平面。我们展示了一个具有标量场理论的示例,在该理论中,考虑到CAT链的眼睛图,该模型会开发Gevrey-3渐近系列。

The renormalon singularities are a known source of the divergent behavior of asymptotic perturbative series from field theoretical models. These singularities live in the Borel plane and are responsible for ambiguities in the physical plane. We propose that field theories can have renormalons beyond the usual first Borel plane. We show an example with a scalar field theory where, considering a chain of cat's eyes diagrams, the model develops a Gevrey-3 asymptotic series.

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