Confinement as analytic continuation beyond infinite coupling

Masahito Yamazaki, Kazuya Yonekura

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


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 σ 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
Article number013383
JournalPhysical Review Research
Issue number1
Publication statusPublished - 2020 Mar


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