Confinement as analytic continuation beyond infinity

Masahito Yamazaki, Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review


We propose a mechanism for confinement: analytic continuation beyond infinite coupling in the space of the coupling constant. The analytic continuation is realized by renormalization group flows from the weak to the strong coupling regime. We demonstrate this mechanism explicitly for the mass gap in two-dimensional sigma models in the large N limit. Our analysis suggests that the conventional analysis of the operator product expansion in itself does not necessarily guarantee the existence of a classical solution corresponding to renormalons. We discuss how the renormalon puzzle may be resolved by the analytic continuation beyond infinite coupling.

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 Nov 14

ASJC Scopus subject areas

  • General

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