The #paperOfTheDay is "Renormalons and fixed points". This article from 1996 investigates the relation between #renormalons and infrared behaviour of #QCD. A renormalon is an effect that can lead to the divergence of a perturbation series, and such effects have been observed in various contexts. What has never become quite clear (at least to me) is the precise logical relation between its different incarnations: Divergence of the series, Landau poles, the peculiarities of QCD (renormalons exist in scalar theories as well!), non-trivial fixed points, and questions of uniqueness and resummability. The present paper points out some difficulties -- namely that some of the quantities involved are only defined perturbatively, or are sensitive to choices of analytic continuation. These considerations are interesting and not trivial, but I find it sometimes hard to follow the article since it has no explicit structure such as subsections or theorems, it is simply one continuous discussion. Or maybe I've just become too much of a mathematician by now.
#dailyPaperChallenge https://www.sciencedirect.com/science/article/pii/0370269396000615
#dailyPaperChallenge https://www.sciencedirect.com/science/article/pii/0370269396000615