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Quantum Theory of Kaluza-Klein (higher dimensional) Field Theory

Research Project

Project/Area Number 14540252
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field 素粒子・核・宇宙線
Research InstitutionKanazawa University

Principal Investigator

KUBO Jisuke  Kanazawa University, Graduate School for Natural Science and Technology, Professor, 自然科学研究科, 教授 (40211213)

Project Period (FY) 2002 – 2005
Project Status Completed (Fiscal Year 2005)
Budget Amount *help
¥3,100,000 (Direct Cost: ¥3,100,000)
Fiscal Year 2005: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2004: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2003: ¥800,000 (Direct Cost: ¥800,000)
Fiscal Year 2002: ¥800,000 (Direct Cost: ¥800,000)
KeywordsParticle Physics / Field theory / Supersymmetry / Unification of forces / Higher dimensions / 場の量子論 / 統一理論
Research Abstract

* Monte Carlo simulations are performed in a five-dimensional lattice SU(2) Yang-Mills theory with, a compactified extra dimension, and scaling laws are studied. Our simulations indicate that as the compactification radius decreases, the confining phase spreads more and more to the weak coupling regime, and the effective dimension of the theory changes gradually from five to four.
* In extra dimensions the infrared attractive force of gauge interactions is amplified. We find that this force can align in the infrared limit the soft-supersymmetry breaking terms out of their anarchical disorder at a fundamental scale, in such a way that flavor-changing neutral currents as well as dangerous CP-violating phases are sufficiently suppressed at the unification scale.
* To achieve a maximal locality in a trivial field theory, we maximize the ultraviolet cutoff of the theory by fine tuning the infrared values of the parameters. Our result supports the previously made claim that the maximization of the ultraviolet cutoff in an nonrenormalizable field theory can give the theory more predictive power.
* The leptonic sector in a recently proposed minimal extension of the standard model, in which the permutation symmetry S3 is assumed to be an exact flavor symmetry at the weak scale, is revisited. We find that S3 with an additional ZN symmetry allows CP violating phases in the neutrino mixing. The leptonic sector contains six real parameters with two independent phases to describe charged lepton and neutrino masses and the neutrino mixing. The predictions of the model can be tested in experiments in near future.
* Extra dimension deconstructed on a closed chain has naturally the symmetry of a regular polygon, the dihedral symmetry DN. It is found that the Q2N symmetry appears as an intact, internal global flavor symmetry at low energies. A concrete predictive model based on Q6N with an odd N is given.

Report

(5 results)
  • 2005 Annual Research Report   Final Research Report Summary
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • Research Products

    (33 results)

All 2006 2005 2004 2003 2002 Other

All Journal Article (25 results) Publications (8 results)

  • [Journal Article] NONABELIAN DISCRETE FAMILY SYMMETRY TO SOFTEN THE SUSY FLAVOR PROBLEM AND TO SUPPRESS PROTON DECAY2006

    • Author(s)
      Y.Kajiyama, E.Itou, J.Kubo
    • Journal Title

      Nucl. Phys. B (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] S(3) FLAVOR SYMMETRY AND LEPTOGENESIS2006

    • Author(s)
      T.Araki, J.Kubo, E.A.Paschos
    • Journal Title

      Eur. Phys. J. C45

      Pages: 465-475

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] S(3) Flavor Symmetry and Leptogenesis2006

    • Author(s)
      T.Araki, J.Kubo, E.A.Paschos
    • Journal Title

      Eur.Phys.J.C 45

      Pages: 465-475

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] NONABELIAN DISCRETE FAMILY SYMMETRY TO SOFTEN THE SUSY FLAVOR PROBLBM AND TO SUPPRESS PROTON DECAY2006

    • Author(s)
      Y.Kajiyama, E.Itou, J.Kudo
    • Journal Title

      Nucl.Phys.B (印刷中)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] S(3) FLAVOR SYMMETRY AND LEPTOGENESIS2006

    • Author(s)
      T.Araki, J.Kudo, E.A.Paschos
    • Journal Title

      Eur.Phys.J. C45

      Pages: 465-475

    • Related Report
      2005 Annual Research Report
  • [Journal Article] DIHEDRAL FLAVOR SYMMETRY FROM DIMENSIONAL DECONSTRUCTION2005

    • Author(s)
      J.Kubo
    • Journal Title

      Phys. Lett. B622

      Pages: 303-310

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] 「研究成果報告書概要(和文)」より2005

    • Author(s)
      K.S.Babu, J.Kubo
    • Journal Title

      Phys. Rev. D7

      Pages: 56006-56006

    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dihedral Families of Quarks, Leptons and Higgs Bosons2005

    • Author(s)
      K.S.Babu, J.Kubo
    • Journal Title

      Phys.Rev.D 71

      Pages: 56006-56006

    • NAID

      120000809056

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dihedral Flavor Symmetry from Dimensional Deconstruction2005

    • Author(s)
      J.Kubo
    • Journal Title

      Phys.Lett.B 622

      Pages: 303-310

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] DIHEDRAL FLAVORS SYMMETRY FROM DIMENSIONAL DECONSTRUCTION2005

    • Author(s)
      J.Kudo
    • Journal Title

      Phys.Lett. B622

      Pages: 303-310

    • Related Report
      2005 Annual Research Report
  • [Journal Article] DIHEDRAL FAMILIES OF QUARKS, LEPTONS AND HIGGSES2005

    • Author(s)
      K.S.Babu, J.Kubo
    • Journal Title

      Phys.Rev. D7

      Pages: 5006-5006

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Majorana Phase in Minimal S3 Invariant Extension of the Standard Model2004

    • Author(s)
      J.Kubo
    • Journal Title

      Phys.Lett.B 578

      Pages: 156-164

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Maximal Locality and Predictive Power in Higher Dimensional, Compactified Theories2004

    • Author(s)
      J.Kubo, M.Nunami
    • Journal Title

      Prog.Theor.Phys. 111

      Pages: 413-432

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Softennig the Supersymmetric Flavor Problem in Orbifold GUTs2004

    • Author(s)
      Y.Kajiyama, J.Kubo, H.Terao
    • Journal Title

      Phys.Rev.D 69

      Pages: 116006-116006

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Higgs Potential n Minimal S3 Invariant Extension of the Standard Model2004

    • Author(s)
      J.Kubo, H.Okada, F.Sakamaki
    • Journal Title

      Phys.Rev.D 70

      Pages: 36007-36007

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Double Suppression of FCNCs in Supersymmetric Models2004

    • Author(s)
      Ki-Y.Choi, Y.Kajiyama, J.Kubo, H.M.Lee
    • Journal Title

      Phys.Rev.D 70

      Pages: 55004-55004

    • NAID

      120000809009

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Double suppression of FCNCs in Supersymmetric Models2004

    • Author(s)
      K-Y.Choi, Y.Kajiyama.M.Lee, J.Kubo
    • Journal Title

      Physical Review D70

      Pages: 55004-55004

    • NAID

      120000809009

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Higgs potential in minimal S_3 invariant extension of the standard model2004

    • Author(s)
      J.Kubo, H.Okada, F.Sakamaki
    • Journal Title

      Physical Review D70

      Pages: 36007-36007

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Unrenormalizable theories are predictive2003

    • Author(s)
      J.Kubo, M.Nunami
    • Journal Title

      Eur.Phys.J.C 26

      Pages: 461-472

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Finite Theories and the SUSY Flavor Problem2003

    • Author(s)
      K.S.Babu, T.Kobayashi, J.Kubo
    • Journal Title

      Phys.Rev.D 67

      Pages: 75018-75018

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] The Flavor Symmetry2003

    • Author(s)
      J.Kubo, A.Mondragon, M.Mondragon, E.Rodriguez-Jauregui
    • Journal Title

      Prog.Theor.Phys. 109

      Pages: 795-807

    • NAID

      110001196058

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Exact ${cal S}_3$ symmetry solving the supersymmetric flavor problem2003

    • Author(s)
      T.Kobayashi, J.Kubo, H.Terao
    • Journal Title

      Phys.Lett.B 568

      Pages: 83-91

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Scaling Laws and Effective Dimensions in Lattice SU(2) Yang-Mills Theory with a Compactified Extra Dimension2002

    • Author(s)
      S.Ejiri, S.Fujimoto, J.Kubo
    • Journal Title

      Phys.Rev.D 66

      Pages: 36002-36002

    • NAID

      120006747049

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Suppressing FCNC and CP Violating Phases by Extra Dimensions2002

    • Author(s)
      J.Kubo, H.Terao
    • Journal Title

      Phys.Rev.D 66

      Pages: 116003-116003

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2005 Final Research Report Summary
  • [Journal Article] Dihedral families of quarks, leptons and Higgses

    • Author(s)
      K.Babu, J.Kubo
    • Journal Title

      Physical Review D (印刷中)

    • Related Report
      2004 Annual Research Report
  • [Publications] J.Kubo, M.Nunami: "Maximal Locality and Predictive Power in higher dimensional, compactified field theories"Prog.Theor.Physics. (印刷中).

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Kubo: "Majorana phase in minimal S_3 invariant extension of the standard model"Phys.Lett.. B578. 156-164 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Kobayashi, J.Kubo, H.Terao: "Exact S_3 symmetry solving the supersymmetric flavor problem"Phys.Lett.. B568. 83-91 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Kubo, M.Mondragon, E.Rodriguez-Jauregui: "The flavor symmetry"Prog.Theor.Phys.. 109. 795-807 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] J.Kubo, A.Mondrayon, M.Mondragen, E.R.Jauregai: "The flavor symmetry"Prog.Theor.Physics.. (印刷中).

    • Related Report
      2002 Annual Research Report
  • [Publications] K.S.Banbu, T.Kobayashi, J.Kubo: "Finite Theories and the SUSY flavor problem"Physical Review D. (印刷中).

    • Related Report
      2002 Annual Research Report
  • [Publications] J.Kubo, H.Terao: "Suppressing flavor-changing neutral currents and CP-violating phases by extra dimension"Phys.Rev.D. 66. 116003 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] S.Ejiri, S.Fujimoto, J.Kubo: "Scaling laws and effective dimension in lattice SU(2) Yang-Mills theory with a compactified extra dimensions"Phys.Rev.D. 66. 036002 (2002)

    • Related Report
      2002 Annual Research Report

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Published: 2002-04-01   Modified: 2016-04-21  

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