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Chiral symmetry on the light-cone and effective models

Research Project

Project/Area Number 15540288
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Particle/Nuclear/Cosmic ray/Astro physics
Research InstitutionTokyo Woman's Christian University

Principal Investigator

YAZAKI Koichi  Tokyo Woman's Christian University, College of Arts and Sciences, Professor, 文理学部, 教授 (60012382)

Project Period (FY) 2003 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥2,400,000 (Direct Cost: ¥2,400,000)
Fiscal Year 2006: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2005: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2004: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 2003: ¥600,000 (Direct Cost: ¥600,000)
Keywordslight-cne / chiral symmetry / spontaneous breakdown of symmetry / Nambu-Goldstone particle / NJL model / nucleon structure function / EMC effect / 加速度系での場の理論 / ウンルー効果 / ホーキング放射 / 加速度系 / 光円錐上での場の理論 / 正則化 / 核子の構造 / 光円錐座標 / パイオン
Research Abstract

This project followed the previous one "Models of hadrons on the light-cone" (project no.11640258) supported by the Grant-in-Aid for Scientific Research (Basic Research (C) (2)) for the period 1999-2002, and aimed at clarifying how to describe the spontaneous breakdown of chiral symmetry, which is related to the structure of vacuum in the conventional formulation of field theory, in the light-cone formulation, where the vacuum is known to be trivial, and how it is reflected in effective models.
In the conventional formulation, the Nambu-Goldstone (NG) particle, which appears as a result of the symmetry brealing, is generated by a local soft modulation of the symmetry transformation generator, and therefore the connection to the underlying symmetry is transparent. This was not the case in the light-cone formulation. We have clarified the connection by considering the peculiar kinematics of the light-cone coordinate and introducing a non-local modulation of the symmetry operator. Actual construction of the modulated operator was made for the Nambu-Jona-Lasinio (NJL) model, which is considered to be an effective theory of QCD. This work has been published in Physical Review D.
Concerning effective models, I have continued the collaboration and used the quark-diquark model, which was derived from a relativistic Faddeev approach to 3-quark system in the NJL model, to study the effect of nuclear medium on the structure functions of the nucleon. The calculation gave a reasonable description of the experimentally observed EMC effect. This work has been published in Nuclear Physics A.

Report

(5 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • 2003 Annual Research Report
  • Research Products

    (12 results)

All 2006 2004 2003 Other

All Journal Article (9 results) Book (1 results) Publications (2 results)

  • [Journal Article] クォーク模型と核力2006

    • Author(s)
      矢崎紘一
    • Journal Title

      素粒子論研究 112巻6号

      Pages: 42-46

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] クォーク模型と核力2006

    • Author(s)
      矢崎 紘一
    • Journal Title

      素粒子論研究 112巻6号(出版予定)

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Quark distribution in nuclear matter and the EMC effect2004

    • Author(s)
      Mineo, H., Bentz, W., Ishii, N., Thomas, A.W., Yazaki, K.
    • Journal Title

      Nuclear Physics A 735

      Pages: 482-514

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Chiral symmetry in light-cone field theory2004

    • Author(s)
      Lenz, F., Ohta, K., Thies, M., Yazaki, K.
    • Journal Title

      Physical Review D 70

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Chiral symmetry in light-cone field theory2004

    • Author(s)
      Lenz, F., Ohta, K., Thies, M., Yazaki, K.
    • Journal Title

      Phys.Rev. D 70

      Pages: 25015-25015

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Nucleons in nuclear matter and the transition to quark matter2004

    • Author(s)
      Bentz, W., Horikawa, T., Ishii, N., Mineo, H., Thomas, A.W., Yazaki, K.
    • Journal Title

      AIP Conf.Proc. 717

      Pages: 770-770

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Quark distributions in nuclear matter and the EMC effect2004

    • Author(s)
      Mineo, H., Bentz, W., Ishii, N., Thomas, A.W., Yazaki, K.
    • Journal Title

      Nucl.Phys. A 735

      Pages: 482-482

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Properties of nucleons and nuclear matter in the quark-diquark model and extension to finite density2003

    • Author(s)
      Bentz, W., Mineo, H., Thomas, A.W., Yazaki, K.
    • Journal Title

      International Journal of Modern Physics A 18

      Pages: 1409-1412

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Structure functions of the nucleon in the quark-diquark model and extension to finite density2003

    • Author(s)
      MIneo, H., Bentz, W., Yazaki, K., Thomas, A.W.
    • Journal Title

      International Journal of Modern Physics A 18

      Pages: 1413-1416

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] Color Confinement and Hadrons in Quantum Chromodynamics (Conference Proceedings)2004

    • Author(s)
      Suganuma, H., Ishii, N., Oka, M., Enyo, H., Hatsuda, T., Kunihiro, T., Yazaki, K.
    • Total Pages
      535
    • Publisher
      World Scientific
    • Related Report
      2004 Annual Research Report
  • [Publications] W.Bentz, H.Mineo, A.W.Thomas, K.Yazaki: "Properties of nucleons and nuclear matter in the quark-diquark model and extension to finite density"International Journal of Modern Physics A. 18. 1409-1412 (2003)

    • Related Report
      2003 Annual Research Report
  • [Publications] H.Mineo, W.Bentz, K.Yazaki, A.W.Thomas: "Structure functions of the nucleon in the quark-diquark model and extension to finite density"International Journal of Modern Physics A. 18. 1413-1416 (2003)

    • Related Report
      2003 Annual Research Report

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Published: 2003-04-01   Modified: 2016-04-21  

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