Effective field theory on solitons and its physical application

• Project/Area Number: 25400271
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Keio 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: ¥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.

Research Products

• [Journal Article] Non-Abelian Gauge Field Localization on Walls and Geometric Higgs Mechanism (2017)
  • 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
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Nonperturbative contributions from complexified solutions in CPN?1 models (2016)
  • 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
  • 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} models (2016)
  • Author(s): Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
  • Journal Title: JHEP Volume: 1605 Issue: 5
  • DOI: 10.1007/jhep05(2016)057
  • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
• [Journal Article] Ising model on a twisted lattice with holographic renormalization-group flow (2015)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Resurgence in sine-Gordon quantum mechanics: Exact agreement between multi-instantons and uniform WKB (2015)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Neutral bions in the CP(N-1) model for resurgence (2015)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes (2015)
  • Author(s): Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
  • Journal Title: PTEP Volume: 2015 3 Issue: 3
  • DOI: 10.1093/ptep/ptv009
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor (2014)
  • 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
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Neutral bions in the CP(N) model (2014)
  • Author(s): Tatsuhiro Misumi, Muneto Nitta, Norisuke Sakai
  • Journal Title: JHEP Volume: 1406 Issue: 6 Pages: 164-164
  • DOI: 10.1007/jhep06(2014)164
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Stabilizing matter and gauge fields localized on walls (2013)
  • 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
  • Peer Reviewed
• [Journal Article] Localization method for volume of domain-wall moduli spaces (2013)
  • Author(s): Kazutoshi Ohta, Norisuke Sakai and Yutaka Yoshida
  • Journal Title: Progr. Theor. Exp. Phys. Volume: 2013 Issue: 7
  • DOI: 10.1093/ptep/ptt052
  • Peer Reviewed
• [Presentation] Non-perturbative Contributions from Complexified Solutions in CP^1 Quantum Mechanics (2016)
  • Author(s): Norisuke Sakai
  • Organizer: Conference on Stokes phenomenon, Resurgence and Physics
  • Place of Presentation: IRMA, Strasbourg, France
  • Int'l Joint Research / Invited
• [Presentation] Multi-instanton Contributions and Complexified Bion Solutions in Quantum Mechanics (2016)
  • Author(s): Norisuke Sakai
  • Organizer: Resurgence in Gauge and String Theories
  • Place of Presentation: IST Lisbon, PORTUGAL
  • Int'l Joint Research / Invited
• [Presentation] Resurgence in sine-Gordon quantum mechanics (2015)
  • 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
  • Int'l Joint Research / Invited
• [Presentation] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes (2015)
  • 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
• [Presentation] Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes (2015)
  • 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
  • Invited
• [Presentation] Neutral bions in the CP^{N-1} model for resurgence (2014)
  • 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
  • Invited
• [Presentation] Gauge fields and matter fields localized on walls (2014)
  • 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
  • Invited
• [Presentation] Gauge fields and matter fields localized on domain walls (2014)
  • Author(s): Norisuke Sakai
  • Organizer: TeV-scale physics after the discovery of the Higgs particle
  • Place of Presentation: 東京女子大学
  • Invited