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Grand Unified Theories based on Dynamical Symmetry Breaking

Research Project

Project/Area Number 06640387
Research Category

Grant-in-Aid for General Scientific Research (C)

Allocation TypeSingle-year Grants
Research Field 素粒子・核・宇宙線
Research InstitutionKYOTO UNIVERSITY

Principal Investigator

KUGO Taichi  Kyoto University, Graduate School of Science Professor, 大学院理学研究科, 教授 (00115833)

Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 1995: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1994: ¥1,400,000 (Direct Cost: ¥1,400,000)
KeywordsNambu-Jona-Lasinio model / gauge-Higgs-Yukawa system / nontriviality / renormalizability / background field method / non-Abelian gauge theory / color confinement / 有効作用 / 物理的S行列 / 高階微分運動項 / 量子化法 / non-triviality / くりこみ群
Research Abstract

The research results of our project for two academic years in 1994-1995 are as follows :
1. A new lagrangian way of defining the Nambu-Jona-Lasinio (NJL) model is proposed, which possesses an intrinsic ultraviolet cutoff by the higher derivative fermion kinetic term and maintains all the external gauge invariances. There we also discussed the quantization method of such a higher-derivative system, current operators and chiral anomaly problems.
2. Based on the renormalization group method, the gauge-Higgs-Yukawa system was analyzed whether it is nontrivial or not ; namely, whether it can give a well-defined interacting theory when the ultraviolet cutoff goes to infinity. We proved that it is nontrivial under the following conditions : i) there exists an asymptotically free gauge interaction, whose approach to the asymptotic freedom should not be so rapid, ii) the Yukawa coupling should be smaller than or equal to an upperbound, and iii) the scalar quartic coupling is not an independent parameter but is uniquely determined by the Yukawa and gauge coupling constants. Based on the result, the gauged NJL model is proved to be renormalizable in four dimensions.
3. The procedure was clarified how one can obtain the physical S-matrix from the gauge-invariant effective action in the background field (BF) method. We gave a precise proof that it gives the same S-matrix as the one obtained by the usual non-gauge-invariant (BRS invariant) effective action.
4. We found a new relation 1+u=Z_1/Z_3=Z_<vertex>/Z_<wave-function>, where the left-hand side is the quantuty that 1+u = 0 is known to give a sufficient condition for the color confinement to occur, and the righthand side stands for the ratio of the renormalization factors, Z_<vertex>/Z_<wave-function>, which is universal (i.e., matter-independent),

Report

(3 results)
  • 1995 Annual Research Report   Final Research Report Summary
  • 1994 Annual Research Report
  • Research Products

    (16 results)

All Other

All Publications (16 results)

  • [Publications] t. Kugo: "Dinamical Symmetry Breaking in an E_6 GUT Model" Prg. Theor. Phys:. 91. 1217-1238 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Hamazaki: "Defining the Nambu-Jona-Lasinio Model by Higher Derivative Kinetic Term" Prog. Theor. Phys.92. 645-667 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M. Harada: "Nontrivality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged NJL Model" Prog. Theor. Phys.92. 1161-1184 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Kugo: "Schwinger-Dyson and Bethr-Salpeter Approach to Dynamical Symmetry Breeaking and Boundstate Problems" Proc. 7th Summer School on Nuclear Physics,"Low Energy Effedive Theories and QCD," (World Scientitic, Singapore.). 206-239 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Kugo: "Noutriviality of Gauge-Higgs Yukawa System and Renormalizability of Gauged Nambu-Jona-Lasinio Model" Prog. Theor. Phys. Supplement. 123(掲載予定). (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T. Kugo: "The Universal Renormalization Factors Z_1/Z_3 and Color Confinement Condition in Non-Abelian Gauge Theory" Proc. International Symposium on BRS Symmetry,(Unibersal Acodemy Press, Tokyo). (掲載予定). (1996)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Kugo and J.Sato: "Dynamical symmetry Breaking in an E_6 GUT Model" Prog.Theor.Phys.91. 1217-1238 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Hamazaki and T.Kugo: "Defining the Nambu-Jona-Lasinio Model by Higher Derivative Kinetic Term" Prog.Theor.Phys.92. 645-667 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] M.Harada, T.Kugo, Y.Kikukawa and H.Nakano: "Nontriviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged NJL Model" Prog.Theor.Phys.92. 1161-1184 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Kugo: "Schwinger-Dyson and Bethe-Salpeter-Approach to Dynamical Symmetry Breaking and Boundstate Problems" in Proc.7th Summer School on Nuclear Physics, "Low Energy Effective Theories and QCD", ed.D.-P.Ming (World Scientific, Singapore, 1995).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Kugo: "Nontriviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged Nambu-Jona-Lasinio Model" Prog.Theor.Phys.Supplement. 123 (to appear). (1996)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] T.Kugo: "The Universal Renormalization Factors Z_1/Z_3 and Color Confinement Condition in Non-Abelian Gauge Theory" Proc.International Symposium on BRS Symmetry, ed.M.Abe, N.Nakanishi and I.Ojima (Universal Academy Press, Tokyo, 1996). (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Taichiro Kugo: "Nontriviality of Gauge-Higgs-Yukawa System and Renormalizabilitiy of Gauged Nambu-Jono-Lasinio Model" Prog. Theor. Phys. Supplement. 123(to appear). (1996)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.Kugo: "Dynamical Symmetry Breaking in an E_6 GUT Model" Prog.Theor.Phys.91. 1217-1238 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] T.Hamazaki: "Defining the Nambu-Tona-Lasinio Model by Higher Derivative Kinetic Term" Prog.Theor.Phys.92. 645-667 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] M.Harada: "Non-triviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged Nambu-Jone-Lasinio Model" Prog. Theor.Phys.92. 1161-1184 (1994)

    • Related Report
      1994 Annual Research Report

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Published: 1994-04-01   Modified: 2016-04-21  

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