Exact resurgent trans-series and multibion contributions to all orders

Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)


The full resurgent trans-series is found exactly in near-supersymmetric CP1 quantum mechanics. By expanding in powers of the supersymmetry-breaking deformation parameter, we obtain the first and second expansion coefficients of the ground-state energy. They are an absolutely convergent series of nonperturbative exponentials corresponding to multibions with perturbation series on those backgrounds. We obtain all multibion exact solutions for a finite time interval in the complexified theory. We sum the semiclassical multibion contributions that reproduce the exact result supporting the resurgence to all orders. We also discuss the similar resurgence structure in CPN-1 (N>2) models. This is the first result in the quantum-mechanical model where the resurgent trans-series structure is verified to all orders in nonperturbative multibion contributions.

Original languageEnglish
Article number105001
JournalPhysical Review D
Issue number10
Publication statusPublished - 2017

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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