Neutral bions in the CP<sup>N-1</sup> model for resurgence

Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Classical configurations in the CP<sup>N-1</sup> model on R<sup>1</sup> X S<sup>1</sup> is studied with twisted boundary conditions. Starting from fractional instantons with the Z<inf>N</inf> 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
Volume597
Issue number1
DOIs
Publication statusPublished - 2015 Apr 13

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instantons
configurations
boundary conditions
calculus
physics
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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Neutral bions in the CP<sup>N-1</sup> model for resurgence. / Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke.

In: Journal of Physics: Conference Series, Vol. 597, No. 1, 012060, 13.04.2015.

Research output: Contribution to journalArticle

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