论文标题

关于压实空间中肾龙的永久性

On the permanence of renormalons in compactified spaces

论文作者

Cavalcanti, Erich

论文摘要

我们研究了肾上腺素奇点的存在和行为,相对于$ d $的空间压缩和准膜状边界条件。采用玩具模型(具有四分之一相互作用的标量场理论),我们发现紧凑型的大小和压缩尺寸的数量不会影响肾上腺杆的数量和位置。唯一的影响发生在残基中。每当新的肾上腺杆出现或取消时,我们都需要仔细检查渐近近似值。

We investigate the existence and behavior of renormalon singularities with respect to $d$ spatial compactifications and quasiperiodic boundary conditions. Employing a toy model (scalar field theory with quartic interaction) we find that the size of the compactification and the number of compactified dimensions do not influence the number and the location of the renormalon poles. The only influence occurs in the residues. We enforce the need to carefully check the asymptotic approximations every time there is some result about the appearance of new renormalon poles or their cancellation.

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