Exact resurgent trans-series and multibion contributions to all orders

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

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

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
Volume95
Issue number10
DOIs
Publication statusPublished - 2017

Fingerprint

supersymmetry
quantum mechanics
intervals
perturbation
expansion
ground state
coefficients
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Exact resurgent trans-series and multibion contributions to all orders. / Fujimori, Toshiaki; Kamata, Syo; Misumi, Tatsuhiro; Nitta, Muneto; Sakai, Norisuke.

In: Physical Review D, Vol. 95, No. 10, 105001, 2017.

Research output: Contribution to journalArticle

Fujimori, Toshiaki ; Kamata, Syo ; Misumi, Tatsuhiro ; Nitta, Muneto ; Sakai, Norisuke. / Exact resurgent trans-series and multibion contributions to all orders. In: Physical Review D. 2017 ; Vol. 95, No. 10.
@article{3b611aa3666248138c2b787dfdeb8c6a,
title = "Exact resurgent trans-series and multibion contributions to all orders",
abstract = "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.",
author = "Toshiaki Fujimori and Syo Kamata and Tatsuhiro Misumi and Muneto Nitta and Norisuke Sakai",
year = "2017",
doi = "10.1103/PhysRevD.95.105001",
language = "English",
volume = "95",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Physical Society",
number = "10",

}

TY - JOUR

T1 - Exact resurgent trans-series and multibion contributions to all orders

AU - Fujimori, Toshiaki

AU - Kamata, Syo

AU - Misumi, Tatsuhiro

AU - Nitta, Muneto

AU - Sakai, Norisuke

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85020221493&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85020221493&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.95.105001

DO - 10.1103/PhysRevD.95.105001

M3 - Article

AN - SCOPUS:85020221493

VL - 95

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 10

M1 - 105001

ER -