Exact resurgent trans-series and multibion contributions to all orders

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

研究成果: Article査読

27 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号105001
ジャーナルPhysical Review D
95
10
DOI
出版ステータスPublished - 2017

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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