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Elucidation of the quark generation structure based on the vacuum configuration of extra dimensional models with point interactions

Research Project

Project/Area Number 15K05055
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 InstitutionKobe University

Principal Investigator

sakamoto makoto  神戸大学, 理学研究科, 准教授 (30183817)

Co-Investigator(Kenkyū-buntansha) 竹永 和典  熊本保健科学大学, 保健科学部, 教授 (50379294)
Project Period (FY) 2015-04-01 – 2018-03-31
Project Status Completed (Fiscal Year 2017)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Keywordsクォーク・レプトン / 世代構造 / 世代数 / フェルミオン質量階層性 / 余剰次元 / 点状相互作用 / ニュートリノ質量 / カシミアエネルギー / ディラック作用 / 6次元 / 境界条件 / 量子力学的超対称性 / 超対称性 / カイラルフェルミオン / 局在化 / ディラック質量
Outline of Final Research Achievements

As the quark and lepton 's mystery of the generation structure, there is the "quark/lepton generation problem". In order to elucidate this problem, we considered a model with point-like interactions in an extra dimension. It became clear that the number of generations is given as the number of point interactions. We succeeded in deriving the stability of the size of the extra dimension and the mass hierarchy of the quark/lepton by minimizing the Casimir energy in a five-dimensional extra dimensional model having point-like interactions. Although in the previous models, the parameters of the size of the extra dimension and the mass hierarchy of quark/lepton have been determined by hand, we have found that these parameters can be determined dynamically by minimizing the Casimir energy.

Report

(4 results)
  • 2017 Annual Research Report   Final Research Report ( PDF )
  • 2016 Research-status Report
  • 2015 Research-status Report
  • Research Products

    (30 results)

All 2018 2017 2016 2015 Other

All Int'l Joint Research (3 results) Journal Article (11 results) (of which Int'l Joint Research: 5 results,  Peer Reviewed: 11 results,  Open Access: 10 results,  Acknowledgement Compliant: 6 results) Presentation (16 results) (of which Int'l Joint Research: 4 results,  Invited: 1 results)

  • [Int'l Joint Research] Korea Institute for Advanced Study(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] KIAS(韓国)

    • Related Report
      2016 Research-status Report
  • [Int'l Joint Research] Korea Inst. Advanced Study(韓国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Spectral intertwining relations in exactly solvable quantum-mechanical systems2017

    • Author(s)
      Houri Tsuyoshi、Sakamoto Makoto、Tatsumi Kentaro
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 063A01 Issue: 6

    • DOI

      10.1093/ptep/ptx074

    • NAID

      120006352250

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Polyakov loop in a non-covariant operator formalism2017

    • Author(s)
      Sakamoto Makoto、Takenaga Kazunori
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 043B02 Issue: 4

    • DOI

      10.1093/ptep/ptx026

    • NAID

      120006352319

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule2017

    • Author(s)
      Kato Mitsuhiro、Sakamoto Makoto、So Hiroto
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 2017 Issue: 4 Pages: 1-31

    • DOI

      10.1093/ptep/ptx045

    • NAID

      120006352318

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Supersymmetry in the 6D Dirac action2017

    • Author(s)
      Fujimoto Yukihiro、Hasegawa Kouhei、Nishiwaki Kenji、Sakamoto Makoto、Tatsumi Kentaro
    • Journal Title

      Progress of Theoretical and Experimental Physics

      Volume: 073B03 Issue: 7

    • DOI

      10.1093/ptep/ptx092

    • NAID

      120006352317

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum2017

    • Author(s)
      Fujimoto Yukihiro、Hasegawa Kouhei、Nishiwaki Kenji、Sakamoto Makoto、Tatsumi Kentaro
    • Journal Title

      Nuclear Physics B

      Volume: 922 Pages: 186-225

    • DOI

      10.1016/j.nuclphysb.2017.06.024

    • NAID

      120006352320

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Polyakov Loop in Non-covariant Operator Formalism2017

    • Author(s)
      Makoto Sakamoto and Kazunori Takenaga
    • Journal Title

      PTEP

      Volume: 印刷中

    • NAID

      120006352319

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Non-renormalization theorem in a lattice supersymmetric theory and the cyclic Leibniz rule2017

    • Author(s)
      Mitsuhiro Kato, Makoto Sakamoto and Hiroto So
    • Journal Title

      PTEP

      Volume: 印刷中

    • NAID

      120006352318

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Comprehensive analysis of Yukawa hierarchies on $T^2/Z_N$ with magnetic fluxes2016

    • Author(s)
      Y. Fujimoto, T. Kobayashi, K. Nishiwaki, M. Sakamoto and Y. Tatsuta
    • Journal Title

      Phys. Rev. D

      Volume: 94 No.3 Issue: 3 Pages: 035031-035031

    • DOI

      10.1103/physrevd.94.035031

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Active Dirac neutrinos via SU(2)L doublets in 5d2016

    • Author(s)
      Yukihiro Fujimoto, K. Hasegawa, Tomoaki Nagasawa, Kenji Nishiwaki, Makoto Sakamoto and Kentaro Tatsumi
    • Journal Title

      JHEP

      Volume: 1606 Issue: 6

    • DOI

      10.1007/jhep06(2016)178

    • NAID

      120006353759

    • Related Report
      2016 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Realization of the Lepton Flavor Structure from Point Interactions2015

    • Author(s)
      Yukihiro Fujimoto, Kenji Nishiwaki, Makoto Sakamoto and Ryo Takahashi
    • Journal Title

      EPJ Web Conference

      Volume: 95 Pages: 04022-04022

    • DOI

      10.1051/epjconf/20159504022

    • NAID

      120006353757

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Classification of three-generation models on magnetized orbifolds2015

    • Author(s)
      Tomo-hiro Abe, Yukihiro Fujimoto, Tatsuo Kobayashi, Takashi Miura, Kenji Nishiwaki, Makoto Sakamoto, Yoshiyuki Tatsuta
    • Journal Title

      Nucl. Phys.

      Volume: B894(2015)374 Pages: 374-406

    • DOI

      10.1016/j.nuclphysb.2015.03.004

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Presentation] 高次元ディラック場における拡張された量子力学的超対称性2018

    • Author(s)
      上場一慶
    • Organizer
      日本物理学会第73 回年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 高次元フェルミオンの境界条件の分類とモード関数の決定2017

    • Author(s)
      巽健太郎
    • Organizer
      日本物理学会 2017年年次大会
    • Place of Presentation
      大阪大学(大阪府・豊中市)
    • Year and Date
      2017-03-17
    • Related Report
      2016 Research-status Report
  • [Presentation] Dynamical generation of fermion mass hierarchy on an interval2017

    • Author(s)
      藤本教寛
    • Organizer
      Strings and Fields 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Magnetized extra dimensions generate quark flavor structure2017

    • Author(s)
      Kenji Nishiwaki
    • Organizer
      the 21th Regular Meeting of New Higgs Working Group
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 高次元フェルミオンの境界条件の分類とモード関数の決定",2017

    • Author(s)
      巽健太郎
    • Organizer
      日本物理学会 2017年年次大会
    • Related Report
      2017 Annual Research Report
  • [Presentation] 物理的演算子によるポリヤコフループの構成2017

    • Author(s)
      竹永和典
    • Organizer
      日本物理学会第72回年次会
    • Related Report
      2017 Annual Research Report 2016 Research-status Report
  • [Presentation] Spacetime symmetries and Eisenhart lift of Schrodinger equations2017

    • Author(s)
      宝利剛
    • Organizer
      日本物理学会第72回年次会
    • Related Report
      2017 Annual Research Report 2016 Research-status Report
  • [Presentation] 藤本教寛2016

    • Author(s)
      6次元フェルミオンの境界条件と質量スペクトラムに潜む超対称量子力学構造
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      宮崎大学(宮崎県・宮崎市)
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
  • [Presentation] 6次元フェルミオンの境界条件と質量スペクトラムの解析2016

    • Author(s)
      巽健太郎
    • Organizer
      日本物理学会 2016年秋季大会
    • Place of Presentation
      宮崎大学(宮崎県・宮崎市)
    • Year and Date
      2016-09-21
    • Related Report
      2016 Research-status Report
  • [Presentation] Toward a solution to fermion generation problem from 6D space-time with a suitable boundary condition2016

    • Author(s)
      Kouhei Hasegawa
    • Organizer
      YITP Workshop Strings and Fields 2016
    • Place of Presentation
      基礎物理学研究所(京都府・京都市)
    • Year and Date
      2016-08-08
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Cyclic Leibniz Rule, Cohomology and Non-renormalization Theorem in Lattice Supersymmetry2016

    • Author(s)
      Makoto Sakamoto
    • Organizer
      SUSY 2016
    • Place of Presentation
      The University of Melbourne (Melbourne, Australia)
    • Year and Date
      2016-07-04
    • Related Report
      2016 Research-status Report
    • Int'l Joint Research
  • [Presentation] Neutrino mass scale from an extra dimension2016

    • Author(s)
      藤本教寛
    • Organizer
      KEK-PH 2016
    • Place of Presentation
      高エネルギー加速器研究機構(茨城県・つくば市)
    • Year and Date
      2016-02-12
    • Related Report
      2015 Research-status Report
  • [Presentation] 分割されたランドール・サンドラム時空による電弱スケールとニュートリノ質量 スケールの導出2015

    • Author(s)
      長谷川耕平
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪市立大学(大阪府・大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] 余剰次元に基づくディラック型ニュートリノ質量の生成機構2015

    • Author(s)
      巽健太郎
    • Organizer
      日本物理学会
    • Place of Presentation
      大阪市立大学(大阪府・大阪市)
    • Year and Date
      2015-09-25
    • Related Report
      2015 Research-status Report
  • [Presentation] Electroweak and Neutrino mass scales from a Planck scale Extra Dimension2015

    • Author(s)
      藤本教寛
    • Organizer
      素粒子物理学の進展2015
    • Place of Presentation
      京都大学基礎物理学研究所(京都府・京都市)
    • Year and Date
      2015-09-16
    • Related Report
      2015 Research-status Report
  • [Presentation] 余剰次元に基づくディラック型ニュートリノ質量の生成機構2015

    • Author(s)
      巽健太郎
    • Organizer
      中部夏の学校2015
    • Place of Presentation
      東海大学山中湖セミナーハウス(山梨県・南都留郡)
    • Year and Date
      2015-09-02
    • Related Report
      2015 Research-status Report

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Published: 2015-04-16   Modified: 2022-02-16  

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