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Induced Field Theory on the Brane World

Research Project

Project/Area Number 13640297
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 InstitutionSaitama Medical University

Principal Investigator

AKAMA Keiichi  Saitama Medical College, Physics, AP, 医学部, 助教授 (10105885)

Co-Investigator(Kenkyū-buntansha) AKABANE Akira  Saitama Medical College, Physics, AP, 医学部, 助教授 (40049846)
KATSUURA Kazuo  Saitama Medical College, Physics, AP, 医学部, 助教授 (30049861)
MUKAIDA Hisamitsu  Saitama Medical College, Physics, Lecturer, 医学部, 講師 (50286093)
INAMI Takeo  Chuo University, Physics, Professor, 理工学部, 教授 (20012487)
HATTORI Takashi  Kanagawa Dental College, Physics, Lecturer, 歯学部, 講師 (60104494)
Project Period (FY) 2001 – 2003
Project Status Completed (Fiscal Year 2003)
Budget Amount *help
¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2003: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2002: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2001: ¥1,300,000 (Direct Cost: ¥1,300,000)
Keywordsbrane world / brane induced gravity / soliton / Gauss-Codazzi-Ricci equation / naturalness bound / compositeness / scale invariance / string theory / Brane World / brane geometro-dynamics / dipole moment / 非可換非線形シグマ模型
Research Abstract

We obtained the following new results about induce field theory on the brane world or field theories in general. (1)We derived, in a quantum theoretical way, field theories for the geometrical objects, solitonic fluctuations, and trapped objects on the brane worlds, which is localized by higher dimensional soliton. (2)In the non-abelian gauge theories, gauge fields can be composite (i. e. induced field theory) only if there exist so many fermion species as the asymptotic freedom is violated. The composite field coupling constants in the induced field theories are exactly scale invariant. (3)Assuming naturalness, we derived general bounds on the fermion-dipole moments arising from new physics and applied them to the observed results. (4)We extended the three dimensional non-linear sigma model to the non-commutative field theory, and obtained several new results on structure of the solitonic solutions, properties of the moduli, and low energy scattering of the solitons. (5)We successfully constructed CP(n) nonlinear sigma model on non-anti-commutative super spaces in four dimensions and in two dimensions. (6)We investigated phenomenological properties of the SU(3) x SU(3) x U(1) model. (7)The dimensional reduction is reconsidered for the random-field Ising model. (8)Given a two-loop beta function for multiple marginal coupling constants, we derived an asymptotic formula for the running coupling constants driven to an infrared fixed point.

Report

(4 results)
  • 2003 Annual Research Report   Final Research Report Summary
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (53 results)

All 2004 2003 2002 2001 Other

All Journal Article (42 results) Publications (11 results)

  • [Journal Article] Renormalization group flow in the cutoff Yukawa model and a scale invariance in the Nambu-Jona-Lasinio model2004

    • Author(s)
      Keiichi Akama
    • Journal Title

      Phys.Lett. B583

      Pages: 207-211

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] 膜世界上の重力と物質の場の理論の導出2004

    • Author(s)
      赤間啓一
    • Journal Title

      埼玉医科大学医学基礎部門紀要 10

      Pages: 29-29

    • NAID

      110004688264

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Bilepton production in electron-gamma collisions2004

    • Author(s)
      D.V.Soa, T.Inami, H.N.Long
    • Journal Title

      Eur.Phys.J. C34

      Pages: 285-289

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Supersymmetric CP^N Sigma Model on Noncommutative Superspace2004

    • Author(s)
      Takeo Inami, Hiroaki Nakajima
    • Journal Title

      Prog.Theor.Phys. 111

      Pages: 961-966

    • NAID

      10013313645

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Renormalization Group for the Probability Distribution of Magnetic Impurities in a Random-Field φ^4 Model2004

    • Author(s)
      H.Mukaida, Y.Sakamoto
    • Journal Title

      Int.J.Mod.Phys. B, 18

      Pages: 919-919

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Deformation of a renormalization-group equation applied to infinite-order phase transitions2004

    • Author(s)
      H.Mukaida
    • Journal Title

      Phys.Rev. E 70

      Pages: 17101-17101

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] An Asymptotic Formula for Marginal Running Coupling Constants and Universality of loglog Corrections2004

    • Author(s)
      H.Mukaida
    • Journal Title

      J.Phys.A : Math.Gen. 37

      Pages: 1085-1085

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Renormalization group flow in the cutoff Yukawa model and a scale invariance in the Nambu-Jona-Lasinio model.2004

    • Author(s)
      Keiichi Akama
    • Journal Title

      Phys.Lett. B583,e-Print Archive : hep-th/0310183

      Pages: 207-211

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A Scale Invariance Due to Compositeness Condition in the Induced Gauge Theory.2004

    • Author(s)
      Akira Akabane, Keiichi Akama
    • Journal Title

      Prog.Theor.Phys. SMC-PHYS-171,112,e-Print Archive : hep-th/0312151

      Pages: 757-762

    • NAID

      110001196229

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Derivation of Field Theories of Gravity and Matter on the Brane World (in Japanese)2004

    • Author(s)
      Keiichi Akama
    • Journal Title

      Bulletin of Saitama Medical School Premedical Course 10

      Pages: 29-29

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Exact Scale Invariance of Composite-Field Coupling Constants.2004

    • Author(s)
      Keiichi Akama, Takashi Hattori
    • Journal Title

      Phys.Rev.Lett. SMC-PHYS-173,93,e-Print Archive : hep-th/0411027

      Pages: 211602-211602

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Bilepton production in electron-gamma collisions2004

    • Author(s)
      D.V.Soa, T.Inami, H.N.Long
    • Journal Title

      Eur.Phys.J. C34,e-print : hep-ph/0304300

      Pages: 285-289

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Supersymmetric CP^N Sigma Model on Noncommutative Superspace.2004

    • Author(s)
      Takeo Inami, Hiroaki Nakajima
    • Journal Title

      Prog.Theor.Phys. 111,e-print : hep-th/0402137

      Pages: 961-966

    • NAID

      10013313645

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Renormalization Group for the Probability Distribution of Magnetic Impurities in a Random-Field φ4 Model.2004

    • Author(s)
      H.Mukaida, Y.Sakamoto
    • Journal Title

      Int.J.Mod.Phys.B 18

      Pages: 919-919

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Deformation of a renormalization-group equation applied to infinite-order phase transitions.2004

    • Author(s)
      H.Mukaida
    • Journal Title

      Phys.Rev.E 70

      Pages: 17101-17101

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] An Asymptotic Formula for Marginal Running Coupling Constants and Universality of loglog Corrections.2004

    • Author(s)
      H.Mukaida
    • Journal Title

      J.Phys.A : Math.Gen. 37

      Pages: 1085-1085

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Probabilistic Naturalness Measure for Dipole Moments Due to New Physics2003

    • Author(s)
      Keiichi Akama, Takashi Hattori, Kazuo Katsuura
    • Journal Title

      e-Print Archive : hep-ph/030730

    • NAID

      110005858062

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Brane Induced Gravity from its Dynamical Origin2003

    • Author(s)
      Keiichi Akama
    • Journal Title

      hep-th/0307240

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom with Scalar Matter2003

    • Author(s)
      Keiichi Akama, Takashi Hattori
    • Journal Title

      hep-th/0310236

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Formal Proof Of An Exact Scale Invariance in the Nambu-Jona-Lasinio Model2003

    • Author(s)
      Keiichi Akama
    • Journal Title

      hep-th/0312152

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Probabilistic Naturalness Measure for Dipole Moments Due to New Physics.2003

    • Author(s)
      Keiichi Akama, Takashi Hattori, Kazuo Katsuura
    • Journal Title

      SMC-PHYS-167 e-Print Archive : hep-ph/0307301

    • NAID

      110005858062

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Brane Induced Gravity from its Dynamical Origin.2003

    • Author(s)
      Keiichi Akama
    • Journal Title

      SMC-PHYS-168 e-Print Archive : hep-th-0307240

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Complementarity between Gauge-Boson Compositeness and Asymptotic Freedom with Scalar Matter.2003

    • Author(s)
      Keiichi Akama, Takashi Hattori
    • Journal Title

      SMC-PHYS-170 e-Print Archive : hep-th/0310236

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Induced Field Theory on the Brane World2002

    • Author(s)
      Keiichi Akama
    • Journal Title

      Bulletin of Saitama Medical School Premedical Course 9

      Pages: 1-1

    • NAID

      110001067277

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Naturalness Bounds on Dipole Moments from New Physics2002

    • Author(s)
      Keiichi Akama, Takashi Hattori, Kazuo Katsuura
    • Journal Title

      Physical Review Letters 88

      Pages: 201601-201601

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions2002

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajim, Masayoshi Yamamoto
    • Journal Title

      Phys.Lett. B537

      Pages: 165-172

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions2002

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto
    • Journal Title

      JHEP 0208

      Pages: 9-9

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Topics in Nonlinear Sigma Models in D=32002

    • Author(s)
      Ko Furuta, Takeo Inami, Masayoshi Yamamoto
    • Journal Title

      e-Print Archive : hep-th/0211129

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Induced Field Theory on the Brane World.2002

    • Author(s)
      Keiichi Akama
    • Journal Title

      Bulletin of Saitama Medical School Premedical Course 9

      Pages: 1-1

    • NAID

      110001067277

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Naturalness Bounds on Dipole Moments from New Physics2002

    • Author(s)
      Keiichi Akama, Takashi Hattori, Kazuo Katsuura
    • Journal Title

      Physical Review Letters 88,e-Print Archive : hep-ph/0111238

      Pages: 201601-201601

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Low-Energy Dynamics of Noncommutative CP1 Solitons in 2+1 Dimensions.2002

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto
    • Journal Title

      Phys.Lett. B537,e-print : hep-th/0203125

      Pages: 165-172

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Non-BPS Solutions of the Noncommutative CP1 Model in 2+1 Dimensions.2002

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto
    • Journal Title

      JHEP 0208,e-print : hep-th/0207166

      Pages: 9-9

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Unified Field Theory Induced on the Brane World2001

    • Author(s)
      Keiichi Akama
    • Journal Title

      Proceedings of the 30th International Conference on High Energy Physics (eds.C.S.Lim, Taku Yamanaka) (World Scientific)

      Pages: 1099-1101

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Supersymmetic Extension of the Non-Abelian Scalar-Tensor Duality2001

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajima, Muneto Nitta
    • Journal Title

      Prog.Theor.Phys. 106

      Pages: 851-862

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three Dimensions2001

    • Author(s)
      Takeo Inami, Yorinori Saito, Masayoshi Yamamoto
    • Journal Title

      Mod.Phys.Lett. A16

      Pages: 1643-1650

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Unified Field Theory Induced on the Brane World.2001

    • Author(s)
      Keiichi Akama
    • Journal Title

      Proceedings of the 30th International Conference on High Energy Physics (World Scientific) (eds. C.S.Lim and Taku Yamanaka)

      Pages: 1099-1101

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Supersymmetic Extension of the Non-Abelian Scalar-Tensor Duality.2001

    • Author(s)
      Ko Furuta, Takeo Inami, Hiroaki Nakajima, Muneto Nitta
    • Journal Title

      Prog.Theor.Phys. 106,e-print : hep-th/0106183

      Pages: 851-862

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three Dimensions2001

    • Author(s)
      Takeo Inami, Yorinori Saito, Masayoshi Yamamoto
    • Journal Title

      Mod.Phys.Lett. A16,e-print : hep-th/0106204

      Pages: 1643-1650

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] A Scale Invariance Due to Compositeness Condition in the Induced Gauge Theory

    • Author(s)
      Akira Akabane, Keiichi Akama
    • Journal Title

      Prog.Theor.Phys. 112

      Pages: 757-762

    • NAID

      110001196229

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Exact Scale Invariance of Composite-Field Coupling Constants

    • Author(s)
      Keiichi Akama, Takashi Hattori
    • Journal Title

      Phys.Rev.Lett. 93

      Pages: 211602-211602

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Topics in Nonlinear Sigma Models in D=3

    • Author(s)
      Ko Furuta, Takeo Inami, Masayoshi Yamamoto
    • Journal Title

      e-print : hep-th/0211129

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Journal Article] Formal Proof Of An Exact Scale Invariance in the Nambu-Jona-Lasinio Model.

    • Author(s)
      Keiichi Akama
    • Journal Title

      SMC-PHYS-172,e-Print Archive : hep-th/0312152

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2003 Final Research Report Summary
  • [Publications] Keiichi Akama: "Renormalization group flow in the cutoff Yukawa model and a scale invariance in the Nambu-Jona-Lasinio model"Physics Letters. B583. 207-211 (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] 赤間啓一: "膜世界上の重力と物質の場の理論の導出"埼玉医科大学医学基礎部門紀要. 10. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hisamitsu Mukaida: "Deformation of a renormalization-group equation applied to infinite-order phase transitions"Physical Review. E. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Hisamitsu Mukaida, Yoshinori Sakamoto: "Renormalization group for the probability distribution of magnetic impurities in a random-field $\phi^4$ model"International Journal of Modern Physics. E. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] D.V.Soa, T.Inami, H.N.Long: "Bilepton Production in e-γ Collisions"Euro.Phys.J. E68. (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] Keiichi Akama, Takashi Hattori, Kazuo Katsuura: "Naturalness Bounds on Dipole Moments from New Physics"Physical Review Letters. 88. 201601 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto: "Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions"Physics Letters. B537. 165-172 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Ko Furuta, Takeo Inami, Hiroaki Nakajima, Masayoshi Yamamoto: "Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions (2002)"JHEP. 0208. 009 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] K.Furuta Takeo Inami, M.Yamamoto: "Topics in Nonlinear Sigma Models in D=3"JHEP. 1-18 (2002)

    • Related Report
      2002 Annual Research Report
  • [Publications] Keiichi Akama: "Induced Field Theory on the Brane World"Bulletin of Saitama Medical School Premedical Course. 9. (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] Takeo Inami, Yorinori Saito, Masayoshi Yamamoto: "Cancellation of UV Divergences in the N=4 SUSY Nonlinear Sigma Model in Three-Dimensions"Modern Physics Letters. A16. 1643-1650 (2001)

    • Related Report
      2001 Annual Research Report

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Published: 2001-04-01   Modified: 2021-04-07  

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