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Topological Aspects of Quantum Field Theories

Research Project

Project/Area Number 06640385
Research Category

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

Allocation TypeSingle-year Grants
Research Field 素粒子・核・宇宙線
Research InstitutionNagoya University

Principal Investigator

KITAKADO Shinsaku  Nagoya University, Department of Physics, Professor, 理学部, 教授 (20027345)

Co-Investigator(Kenkyū-buntansha) 沢田 昭二  名古屋大学, 理学部, 教授 (50022546)
Project Period (FY) 1994 – 1995
Project Status Completed (Fiscal Year 1995)
Budget Amount *help
¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1995: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 1994: ¥500,000 (Direct Cost: ¥500,000)
KeywordsQuantum Mechanics on Manifolds / Gauge Structure / BPST Instantons / Field Theories / Chiral Solitons / 1 / Nc Expansion / BPSインスタントン / 場の量子論の位相幾何学 / ゲージ・ホテンシャル / 1 / Nc展開法 / BPSTインスタント / クイラルソリトン模型 / 非相対論的クォーク模型 / F / D比
Research Abstract

We have studied "Topologocal aspects of quantum field theories" from two different approaches : One is the study of quantum mechanics on the topologically non-trivial manifolds and another is the study of the topologically non-trivial chiral solitons in quantum field theory.
In the study of quantum mechanics on manifolds we have shown that the gauge structure emerging on the 2n-dimensional sphere is that of the generalized BPST instantons. This shows that the self dual solutions of the non-abelian gauge field theory can be obtained by studying quantum mechanics on the apropriate manifold.
In the study of chiral solitons (baryons) in QCD we have obtained in the 1/N_C expansion scheme, an explicit N_C dependences of the F/D ratios for both spin-flip and spin-nonflip baryon vertices, which enables us to extract various properties of baryons for N_C=3.

Report

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

    (9 results)

All Other

All Publications (9 results)

  • [Publications] Y.Ohnuki,: "Quantum Mechanics on a Closed Loop." Mod.Phys.Lett.A,. 9. 143-150 (1994)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Fujii,: "Gauge Structure on SD." Mod.Phys.Lett.A,. 10. 867-872 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Takamura,: "The F/D Ratios of Spin-Flip Baryon Vertex in 1/Nc Expansion." Prog.Theor.Phys.91. 757-774 (1995)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] Y.Ohnuki, S.Kitakado: "Quantum Mechanics on a Closed Loop" Mod.Phys.Lett.A. No.9. 143-150 (1994)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.Fujii, S.Kitakado, Y.Ohnuki: "Gauge Structure on SD." Mod.Phys.Lett.A. No.10. 867-872 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] A.Takamura, S.Sawada, S.Kitakado: "The F/D Ratios of Spin-Flip Baryon Vertex in 1/Nc Expansion." Prog.Theor.Phys.Vol.91. 757-774 (1995)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1995 Final Research Report Summary
  • [Publications] K.FUjii et al.: "Gauge Strucure on S^D." Mod.Phys.Lett.A. 10. 867-872 (1995)

    • Related Report
      1995 Annual Research Report
  • [Publications] T.B.Suzuki et al.: "Semileptonic Decays of B Meson into Charmed Higher Resonances in the Heavy Quark Effective Theory." Prog.Theor.Phys.91. 757-774 (1994)

    • Related Report
      1994 Annual Research Report
  • [Publications] A.Takamura et al.: "The F/D Ratios of Spin-Flip Baryon Vertex in 1/Nc Expansion." Prog.Theor.Phys.93(発表予定). (1995)

    • Related Report
      1994 Annual Research Report

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

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