发表机构
Université de Genève; University of Bern（日内瓦大学; 伯尔尼大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该文在Gross-Neveu模型中研究重夸克极点质量，发现其存在类似QCD的重整子歧义，但大N解的非微扰修正可消除该歧义，且与OPE凝聚方法结果一致，为QCD提供了启示。
AI 中文摘要
我们在Gross-Neveu模型中，在1/N展开的首个非平凡阶上，研究了一个重夸克探针的极点质量。我们表明，该质量存在一个与QCD中结构相似的微扰重整子歧义。然而，精确的大N解给出了极点质量的一个显式表达式，该表达式可被解码为一个跨级数，并且我们发现非微扰修正能够消除重整子歧义。我们还利用含凝聚的OPE方法，在微扰论之外计算了重夸克的自能，并表明结果与大N解一致。极点质量的非微扰修正很大程度上由自能的凝聚修正决定。然而，有一类修正由于壳上效应需要重新组织，无法从常规凝聚展开中获得。我们讨论了该玩具模型对QCD可能带来的启示。
英文摘要
We study the pole mass for a heavy quark probe in the Gross--Neveu model, at the first non-trivial order in the $1/N$ expansion. We show that this mass suffers from a perturbative renormalon ambiguity structurally similar to the one in QCD. The exact large $N$ solution leads however to an explicit expression for the pole mass which can be decoded as a trans-series, and we find that non-perturbative corrections cure the renormalon ambiguity. We also calculate the self-energy of the heavy quark beyond perturbation theory by using the OPE method with condensates, and show that the results are in agreement with the large $N$ solution. The non-perturbative corrections to the pole mass turn out to be determined to a large extent by the condensate corrections to the self-energy. However, there is a class of corrections that has to be reorganized due to on-shell effects and cannot be obtained from the conventional condensate expansion. We discuss possible implications of this toy model for QCD.
Comments33 pages, 7 figures
