• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Systems with Spontaneously Broken Symmetries and Nonperturbative Methods

Research Project

Project/Area Number 13135217
Research Category

Grant-in-Aid for Scientific Research on Priority Areas

Allocation TypeSingle-year Grants
Review Section Science and Engineering
Research InstitutionEhime University (2002-2006)
Kyushu University (2001)

Principal Investigator

KASHIWA Taro  Ehime University, Graduate School of Science and Engineering, Professor (30128003)

Co-Investigator(Kenkyū-buntansha) EZAWA Yasuo  Ehime University, Graduate School of Science and Engineering, Professor (30036371)
KAWAMURA Yoshiharu  Shinshu University, Faculty of Science, Professor (10224859)
IMACHI Masahiro  Yamagata University, Faculty of Science, Professor Emeritus (70037208)
原田 恒司  九州大学, 理学研究院, 助教授 (00202268)
米山 博志  佐賀大学, 理工学部, 教授 (50210795)
川合 栄一郎  愛媛大学, 理学部, 助教授 (40116926)
Project Period (FY) 2001 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥20,300,000 (Direct Cost: ¥20,300,000)
Fiscal Year 2006: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2005: ¥3,300,000 (Direct Cost: ¥3,300,000)
Fiscal Year 2004: ¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2003: ¥3,400,000 (Direct Cost: ¥3,400,000)
Fiscal Year 2002: ¥3,200,000 (Direct Cost: ¥3,200,000)
Fiscal Year 2001: ¥4,000,000 (Direct Cost: ¥4,000,000)
KeywordsPath Integration / Auxiliary Fields Methods / Theta Terms / Maximal Entropy Methods / Higher Derivative Gravity / Higher Dimensional Spacetime / Grand Unified Theories / Anomalous U (1) Theory / 高階微分 / データ項 / 繰り込み群 / オービフィールド / 3核子力 / ブレイン宇宙 / 量子情報 / 南部-Jona-Lasinio模型 / 格子ゲージ理論 / インスタントン / とじ込め / 1 / Nc展開 / 有効場理論
Research Abstract

In this project, the head investigator Taro Kashiwa studied the validity of the Auxiliary Field Method(AFM) in the cases of 0-and 1-dimensional Bosonic and Fermionic models. In 0-deminional cases, it was found that in the huge range of the coupling constant the 1-loop results fit well with the exact value, and that there arises the caustics, characterized by the vanishing of the second derivative of the action in the exponent under path integrals, in the 0-dimensiona four-fermi model. The 1-dimensional bosnic case (Quantum Mecanical case) with the double well potential needs higher loop corrections in the region where the instantons play an important role, which would be cured by the introduction of additional auxiliary fileds. This is now under investigation.
Yasuo Ezawa studied the gravity theories containing higher derivatives; they found the issue, the Hamiltonian in the Buchbinder-Lyakhovich (BL) canonical formalism must be transformed under the general coordinate transformation, is resolved by the combination of BL with Ostrogradski formalism.
Yoshiharu Kawamura found the grand unified models in the 5-dimensional spacetime which can explain the origin of the generation and the sum rule for masses of constituent particles in the case of the supersymmetric extension of those models. The results were obtained from the model with 1-dimensional Orbifold as an extra dimemsion.
Masahiro Imachi, together with Hiroshi Yoneyama studied the numerical simulation to the theta terms in CP(2) models. The issue is the theta terms is imaginary in the path integration and hard to simulate in the ordinary algorisms. The Maximum Entropy Method (MEM) is a one major tool for this purpose. They found that even under MEM the flattening of the theta data cannot be avoided, the data that the flattening is resoled was just within a statistical error bar.

Report

(7 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • 2002 Annual Research Report
  • 2001 Annual Research Report
  • Research Products

    (56 results)

All 2006 2005 2004 2003 2002 2001 Other

All Journal Article (40 results) Book (5 results) Publications (11 results)

  • [Journal Article] The Auxiliary Field Method in Quantum Mechanical Four-Fermi Models? A study Toward Chiral Condensation in QED -2006

    • Author(s)
      T. Sakaguchi, T. Kashiwa
    • Journal Title

      Journal of Physics B : At. Mol. Opt. Phys. 39

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A canonical formalism 01 f(R)-type gravity in terms of Lie derivatives2006

    • Author(s)
      Y. Ezawa, H. Iwasaki, Y. Ohkuwa, T. Watanabe, N. Yamada, T. Yano
    • Journal Title

      Classical and Quantum Gravity 23・7

      Pages: 3205-3214

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The Auxiliary Field Method in Quantum Mechanical Four-Fermi Models? A Study Toward Chiral Condensation in QED-2006

    • Author(s)
      T. Sakaguchi, T. Kashiwa
    • Journal Title

      Journal of Physics B : At. Mol. Opt. Phys. 39

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A canonical formalism of f(R)-type gravity in terms of Lie derivatives2006

    • Author(s)
      Y. Ezawa, H. Iwasaki, Y. Ohkuwa, T. Watanabe, N. Yamada, T. Yano
    • Journal Title

      Classical and Quantum Gravity 23

      Pages: 3205-3214

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The Auxiliary Field Method in Quantum Mechanical Four-Fermi Models? A Study Toward Chiral Condensation in QED-2006

    • Author(s)
      T.Sakaguchi, T.Kashiwa
    • Journal Title

      Journal of Physics B : At. Mol. Opt. Phys. 39

    • Related Report
      2006 Annual Research Report
  • [Journal Article] A canonical formalism of f(R)-type gravity in terms of Lie derivatives2006

    • Author(s)
      Y.Ezawa, H.Iwasaki, Y.Ohkuwa, T.Watanabe, N.Yamada, T.Yano
    • Journal Title

      Classical and Quantum Gravity 23・7

      Pages: 3205-3214

    • Related Report
      2006 Annual Research Report
  • [Journal Article] MEM study of true flattening of free energy and the theta term2005

    • Author(s)
      M. Imacni, Y. Shinno, H. Yoneyama
    • Journal Title

      Nuclear Physics. (Proc. Suppl. ) 140

      Pages: 617-619

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dynamical Theory of Generalized Matrices2005

    • Author(s)
      Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 114・3

      Pages: 669-693

    • NAID

      110001840772

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] MEM study of true flattening of free energy and the theta term2005

    • Author(s)
      M. Imachi, Y. Shinno, H. Yoneyama
    • Journal Title

      Nuclear Physics. (Proc. Suppl. ) 140

      Pages: 617-619

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Dynamical Theory of Generalized Matrices2005

    • Author(s)
      Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 114

      Pages: 669-693

    • NAID

      110001840772

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] MEM study of true flattening of free energy and the theta term2005

    • Author(s)
      M.Imachi, Y.Shinno, H.Yoneyama
    • Journal Title

      Nuclear Physics. (Proc. Suppl.) 140

      Pages: 617-619

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Dvnamical Theory of Generalized Matrices2005

    • Author(s)
      Y.Kawamura
    • Journal Title

      Progress of Theoretical Physics 114・3

      Pages: 669-693

    • Related Report
      2005 Annual Research Report
  • [Journal Article] MEM study of true flattening of free energy and the $theta$ term2005

    • Author(s)
      M.Imachi, Y.Shinno, H.Yoneyama
    • Journal Title

      Nuclear Physics (Proceeding Supplement) B40

      Pages: 617-619

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Maximum Entropy Method Approach to the $\theta$ Term2004

    • Author(s)
      M. Imachi, Y. Shinno, H. Yoneyama
    • Journal Title

      Progress of Theoretical Physics 111・3

      Pages: 387-411

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Classification and dynamics of equivalence classes in SU(N) gaugetheory on the orbifold S^1/Z_22004

    • Author(s)
      N. Haba, Y. Hosotani, Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 111・2

      Pages: 265-289

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Anomalous U(1)D-term Contribution in Type I String Models2004

    • Author(s)
      T. Higaki, Y. Kawamura, T. Kobayashi, H. Nakano
    • Journal Title

      Physical Review D69・8

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Non-perturbative Kahler potential, dilaton stabilization and Fayet-Iliopoulos term2004

    • Author(s)
      T. Higaki, Y. Kawamura, T. Kobayashi, H. Nakano
    • Journal Title

      Physics Letters B582・3,4

      Pages: 257-262

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Generalized Heisenberg Dynamics2004

    • Author(s)
      Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 112・2

      Pages: 299-306

    • NAID

      110001196202

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] MEM study of true flattening of free energy and the the $\theta$ term2004

    • Author(s)
      M. Imachi, Y. Shinno, H. Yoneyama
    • Journal Title

      Progress of Theoretical Physics 111

      Pages: 387-411

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Classification and dynamics of equivalence classes in SU(N) gauge theory on the orbifold S^1/Z_22004

    • Author(s)
      N. Haba, Y. Hosotani, Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 111

      Pages: 265-289

    • NAID

      110001196148

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Anomalous U(1) D-term Contribution in Type I String Models2004

    • Author(s)
      T. Higaki, Y. Kawamura, T. Kobayashi, H. Nakano
    • Journal Title

      Physical Review D69

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 「研究成果報告書概要(欧文)」より2004

    • Author(s)
      T. Higaki, Y. Kawamura, T. Kobayashi, H. Nakano
    • Journal Title

      Physics Letters B582

      Pages: 257-262

    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Generalized Heisenberg Dynamics2004

    • Author(s)
      Y. Kawamura
    • Journal Title

      Progress of Theoretical Physics 112

      Pages: 299-306

    • NAID

      110001196202

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Maximum Entropy Method Approach to the $theta$ Term2004

    • Author(s)
      M.Imachi, Y.Shinno, H.Yoneyama
    • Journal Title

      Progress of Theoretical Physics 111・3

      Pages: 387-411

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Classification and dynamics of equivalence classes in SU(N) gauge theory on the orbifold S^1/Z_22004

    • Author(s)
      N.Haba, Y.Hosotani, Y.Kawamura
    • Journal Title

      Progress of Theoretical Physics 111・2

      Pages: 265-289

    • NAID

      110001196148

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Anomalous U(1) D-term Contribution in Type I String Models2004

    • Author(s)
      T.Higaki, Y.Kawamura, T.Kobayashi, H.Nakano
    • Journal Title

      Physical Review D69・8

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Non-perturbative Kahler potential, dilaton stabilization and Fayet-Iliopoulos term2004

    • Author(s)
      T.Higaki, Y.Kawamura, T.Kobayashi, H.Nakano
    • Journal Title

      Physics Letters B582・3,4

      Pages: 257-262

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Generalized Heisenberg Dynamics2004

    • Author(s)
      Y.Kawamura
    • Journal Title

      Progress of Theoretical Physics 112・2

      Pages: 299-306

    • NAID

      110001196202

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Caustics in the Grassmann Integral2003

    • Author(s)
      T. Kashiwa, T. Sakaguchi
    • Journal Title

      Progress of Theoretical Physics 110・3

      Pages: 589-603

    • NAID

      110001196107

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Auxiliary Field Method in 4- and 3-dimensional Nambu--Jona-Lasinio Models2003

    • Author(s)
      T. Kashiwa, T. Sakaguchi
    • Journal Title

      Physical Review D68・6

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Cosmology in a higher-curvature gravity2003

    • Author(s)
      Y. Ezawa, H. Iwasaki, M. Ohmori, S. Ueda, N. Yamada, T. Yano
    • Journal Title

      Classical and Quantum Gravity 20・22

      Pages: 4933-4942

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Can Milne's method work well for the Coulomb-like potentials?2003

    • Author(s)
      Tadashi Yano, Yasuo Ezawa, Takeshi Wada, Hiroshi Ezawa
    • Journal Title

      Journal of Computational and Applied Mathematics 152・1-2

      Pages: 597-611

    • NAID

      130005021209

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Caustics in the Grassmann Integral2003

    • Author(s)
      T. Kashiwa, T. Sakaguchi
    • Journal Title

      Progress of Theoretical Physics 110

      Pages: 589-603

    • NAID

      110001196107

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Auxiliary Field Met hod in 4-and 3- dimensional Nambu--Jona-Lasinio Models2003

    • Author(s)
      T. Kashiwa, T. Sakaguchi
    • Journal Title

      Physical Review D68

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Cosmology in a higher-curvature gravity2003

    • Author(s)
      Y. Ezawa, H. Iwasaki, M. Ohmori, S. Ueda, N. Yamada, T. Yano
    • Journal Title

      Classical and Quantum Gravity 20

      Pages: 4933-4942

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Can Milne's method work well for the Coulomb-like potentials ?2003

    • Author(s)
      Tadashi Yano, Yasuo Ezawa, Takeshi Wada, Hiroshi Ezawa
    • Journal Title

      Journal of Computational and Applied Mathematics 152

      Pages: 597-611

    • NAID

      130005021209

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Effect of Dynamical SU(2)Gluons to the Gap Equation of Nambu--Jona-Lasinio Model in Constant Nonabelian Background Magnetic Field2002

    • Author(s)
      Masaru Ishi-i, Taro Kashiwa, Naoki Tanimura
    • Journal Title

      Physical Review D65・6

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Effect of Dynamical SU(2) Gluons to the Gap Equation of Nambu--Jona-Lasinio Model in Constant Nonabelian Background Magnetic Field2002

    • Author(s)
      Masaru Ishi-i, Taro Kashiwa, Naoki Tanimura
    • Journal Title

      Physical Review D65

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] $CP^{N-1}$ Models with a θTerm and Fixed Point Action and Fixed Point Action2001

    • Author(s)
      R. Burkhalter, M. Imachi, Y. Shinno, H. Yoneyama
    • Journal Title

      Progress of Theoretical Physics 106・3

      Pages: 613-640

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] $CP^{N-1}$ Models with a Θ Term and Fixed Point Action and Fixed Point Action2001

    • Author(s)
      R. Burkhalter, M. Imachi, Y. Shinno, H. Yoneyama
    • Journal Title

      Progress of Theoretical Physics 106

      Pages: 613-640

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] 新版 演習場の量子論-基礎から学びたい人のために-2006

    • Author(s)
      柏 太郎
    • Total Pages
      224
    • Publisher
      サイエンス社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Book] 例題・演習形式で学ぶ現代素粒子物理学2006

    • Author(s)
      川村嘉春
    • Total Pages
      220
    • Publisher
      サイエンス社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] 例題・演習形式で学ぶ現代素粒子物理学2006

    • Author(s)
      川村 嘉春
    • Total Pages
      220
    • Publisher
      サイエンス社
    • Related Report
      2005 Annual Research Report
  • [Book] 量子場を学ぶための場の解析力学入門2005

    • Author(s)
      高橋 康, 柏 太郎
    • Total Pages
      178
    • Publisher
      講談社
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary 2004 Annual Research Report
  • [Book] フーリエ解析2001

    • Author(s)
      井町昌弘, 内田伏一
    • Total Pages
      134
    • Publisher
      裳華房
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Publications] J.Kashiwa, T.Sakaguchi: "Caustics in the Grassmann Integral"Progress of Theoretical Physics. 110・3. 589-603 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] T.Kashiwa, T.Sakaguchi: "Auxiliary Field Method in 4- and 3- dimensional Nambu--Jona-Lasinio Models"Physical Review. D68・6. 065002-1-065002-9 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Ezawa, H.Iwasaki, M.Ohmori, S.Ueda, N.Yamada, T.Yano: "Cosmology in a higher-curvature gravity"Classical and Quantum Gravity. 20・22. 4933-4942 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] M.Imachi, Y.Shinno, H.Yoneyama: "Maximum Entropy Method Approach to the $\teta$-term"Progress of Theoretical Physics. 111・3(to appear). (2004)

    • Related Report
      2003 Annual Research Report
  • [Publications] N.Haba, M.Harada.Y.Hosotani, Y.Kawamura: "Dynamical rearrangement of gauge symmetry on the orbifold"Nuclear Physics. B657. 169-213 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Y.Kawamura: "Cubic Matrices, Generalized Spin Algebra and Uncertainty"Progress of Theoretical Physics. 110・3. 579-587 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] Tadashi Yano, Yasuo Ezawa, Takeshi Wada, Hiroshi Ezawa: "Can Milne's method work well for the Coulomb-like potentials?"Journal of Computational and Applied Mathematics. 152・1-2. 597-611 (2003)

    • Related Report
      2002 Annual Research Report
  • [Publications] Masaru Ishi-i, Taro Kashiwa, Naoki Tanimura: "Effect of Dynamical SU(2) Gluons to the Gap Equation of Nambu-Jona-Lasinio Model in Constant Nonabelian Background Magnetic Field"Physical Review. D(掲載予定). (2002)

    • Related Report
      2001 Annual Research Report
  • [Publications] R.Burkhalter, M.Imachi, Y.Shinno, H.Yoneyama: "$CP^{N-1}$ Models with a θTerm and Fixed Point Action and Fixed Point Action"Progress of Theoretical Physics. 106・No.3. 613-640 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 柏 太郎: "演習 場の量子論-基礎から学びたい人のために-"サイエンス社. 183 (2001)

    • Related Report
      2001 Annual Research Report
  • [Publications] 井町昌弘, 内田伏一: "フーリエ解析"裳華房. 134 (2001)

    • Related Report
      2001 Annual Research Report

URL: 

Published: 2001-04-01   Modified: 2018-03-28  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi