Neutral bions in the CPN-1 model for resurgence

Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai

Research output: Contribution to journalConference articlepeer-review

18 Citations (Scopus)


Classical configurations in the CPN-1 model on R1 X S1 is studied with twisted boundary conditions. Starting from fractional instantons with the ZN twisted boundary conditions, we review briefly the relevance of our study to resurgence phenomenon in field theory. We consider primarily configurations composed of multiple fractional instantons, called "neutral bions", which are identified as "perturbative infrared renormalons". We construct an explicit ansatz corresponding to topologically trivial configurations containing one fractional instanton (v = 1/N) and one fractional anti-instanton (v = -1/N), which is guaranteed to become a solution of field equations asymptotically for large separations. The attractive interactions between the instanton constituents from small to large separations are found to be consistent with the standard separated-instanton calculus. Our results suggest that the ansatz enables us to study bions and the related physics for a wide range of separations. This talk is mainly based on our recent work published in JHEP 1406, 164 (2014) [arXiv:1404.7225 [hep-th]].

Original languageEnglish
Article number012060
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2015 Apr 13
Event30th International Colloquium on Group Theoretical Methods in Physics (Group30), ICGTMP 2014 - Ghent, Belgium
Duration: 2014 Jul 142014 Jul 18

ASJC Scopus subject areas

  • General Physics and Astronomy


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