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Effective field theory on solitons and its physical application

Research Project

Project/Area Number 25400271
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionKeio University

Principal Investigator

SAKAI Norisuke  慶應義塾大学, 自然科学研究教育センター, 訪問教授 (80108448)

Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywordsリサージェンス / 非摂動効果 / 超対称性 / バイオン / 場の局在 / 統一理論 / 標準模型 / ドメーンウォール / 漸近級数 / 素粒子論 / ソリトン / 発散級数 / イジング模型 / 繰り込み群 / AdS/CFT / 局所化 / ゲージ場 / 非線形シグマ模型 / ゲージ理論 / 非アーベル対称性 / 余剰次元 / 局在
Outline of Final Research Achievements

We have succeeded to localize non-Abelian gauge fields in models with extra-dimensions. We constructed a model with domain walls breaking grand unified group to the standard model. Chiral fermions are localized on the domain wall, and moduli stabilization is achieved to yield desirable symmetry and to give masses to moduli fields.
In quantum field theories, one generically finds divergent perturbation series, which are mathematically defined by Borel summation. The perturbative contribution and nonperturbative contributions have deep relation which is called resurgence. The solitions called bions are responsible for this resurgence. We succeeded to enumerate all types of bions in 2 dimensional nonlinear sigma models. In quantum mechanics, we succeeded to evaluate all possible bion contributions and found agreement with the rigorous results on the ground state energy in the case of nearly supersymmetric situation.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (19 results)

All 2017 2016 2015 2014 2013

All Journal Article (11 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 11 results,  Open Access: 9 results,  Acknowledgement Compliant: 9 results) Presentation (8 results) (of which Int'l Joint Research: 3 results,  Invited: 7 results)

  • [Journal Article] Non-Abelian Gauge Field Localization on Walls and Geometric Higgs Mechanism2017

    • Author(s)
      Masato Arai, Filip Blaschke, Minoru Eto, Norisuke Sakai
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 印刷中 Issue: 5

    • DOI

      10.1093/ptep/ptx047

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Nonperturbative contributions from complexified solutions in CPN?1 models2016

    • Author(s)
      Toshiaki Fujimori, Syo Kamata, Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
    • Journal Title

      Phys.Rev. D

      Volume: 94 Issue: 10 Pages: 105002-105002

    • DOI

      10.1103/physrevd.94.105002

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Non-BPS exact solutions and their relation to bions in CP^{N-1} models2016

    • Author(s)
      Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
    • Journal Title

      JHEP

      Volume: 1605 Issue: 5

    • DOI

      10.1007/jhep05(2016)057

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Ising model on a twisted lattice with holographic renormalization-group flow2015

    • Author(s)
      So Matsuura, Norisuke Sakai
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 113 Issue: 11 Pages: 113B02-113B02

    • DOI

      10.1093/ptep/ptv147

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Resurgence in sine-Gordon quantum mechanics: Exact agreement between multi-instantons and uniform WKB2015

    • Author(s)
      Tatsuhiro Misumi, Muneto Nitta and Norisuke Sakai
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 15 Issue: 9 Pages: 157-157

    • DOI

      10.1007/jhep09(2015)157

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Neutral bions in the CP(N-1) model for resurgence2015

    • Author(s)
      Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
    • Journal Title

      J.Phys.Conf.Ser.

      Volume: 597 Pages: 012060-012060

    • DOI

      10.1088/1742-6596/597/1/012060

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes2015

    • Author(s)
      Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
    • Journal Title

      PTEP

      Volume: 2015 3 Issue: 3

    • DOI

      10.1093/ptep/ptv009

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor2014

    • Author(s)
      Masato Arai, Filip Blaschke, Minoru Eto and Norisuke Sakai
    • Journal Title

      Journal of High Energy Physics

      Volume: 9 Issue: 9 Pages: 1-39

    • DOI

      10.1007/jhep09(2014)172

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Neutral bions in the CP(N) model2014

    • Author(s)
      Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
    • Journal Title

      JHEP

      Volume: 1406 Issue: 6 Pages: 164-164

    • DOI

      10.1007/jhep06(2014)164

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Stabilizing matter and gauge fields localized on walls2013

    • Author(s)
      Masato Arai, Filip Blaschke, Minoru Eto and Norisuke Sakai
    • Journal Title

      PTEP 2013

      Volume: 093B01-1-21 Issue: 9

    • DOI

      10.1093/ptep/ptt064

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Localization method for volume of domain-wall moduli spaces2013

    • Author(s)
      Kazutoshi Ohta, Norisuke Sakai and Yutaka Yoshida
    • Journal Title

      Progr. Theor. Exp. Phys.

      Volume: 2013 Issue: 7

    • DOI

      10.1093/ptep/ptt052

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] Non-perturbative Contributions from Complexified Solutions in CP^1 Quantum Mechanics2016

    • Author(s)
      Norisuke Sakai
    • Organizer
      Conference on Stokes phenomenon, Resurgence and Physics
    • Place of Presentation
      IRMA, Strasbourg, France
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multi-instanton Contributions and Complexified Bion Solutions in Quantum Mechanics2016

    • Author(s)
      Norisuke Sakai
    • Organizer
      Resurgence in Gauge and String Theories
    • Place of Presentation
      IST Lisbon, PORTUGAL
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Resurgence in sine-Gordon quantum mechanics2015

    • Author(s)
      Norisuke Sakai
    • Organizer
      first international workshop on nuclear structure, hadron physics and field theory
    • Place of Presentation
      Institute of Modern Physics,Lanzhou,China
    • Year and Date
      2015-09-05
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes2015

    • Author(s)
      Norisuke Sakai
    • Organizer
      日本物理学会第70回年会
    • Place of Presentation
      Waseda University,Tokyo,Japan
    • Year and Date
      2015-03-21 – 2015-03-24
    • Related Report
      2014 Research-status Report
  • [Presentation] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes2015

    • Author(s)
      Norisuke Sakai
    • Organizer
      Workshop on Topological Solitons 2015
    • Place of Presentation
      Keio University,Yokohama,Japan
    • Year and Date
      2015-02-02 – 2015-02-03
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Neutral bions in the CP^{N-1} model for resurgence2014

    • Author(s)
      Norisuke Sakai
    • Organizer
      XXXth International Colloquium on Group Theoretical Methods in Physics
    • Place of Presentation
      Ghent University, Ghent, Belgium
    • Year and Date
      2014-07-14 – 2014-07-18
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Gauge fields and matter fields localized on walls2014

    • Author(s)
      坂井 典佑
    • Organizer
      トポロジカルソリトンの数理と物理
    • Place of Presentation
      名古屋大学多元数理科学研究科
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Gauge fields and matter fields localized on domain walls2014

    • Author(s)
      Norisuke Sakai
    • Organizer
      TeV-scale physics after the discovery of the Higgs particle
    • Place of Presentation
      東京女子大学
    • Related Report
      2013 Research-status Report
    • Invited

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Published: 2014-07-25   Modified: 2019-07-29  

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