X Meson aka η' and Kobayashi-Maskawa-'t Hooft Six-Quark Vertex : U(1)_A Anomaly and Generalized Nambu-Jona-Lasinio Model

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Abstract

In 1970, Kobayashi and Maskawa concluded that an effective six-quark vertex with a determinantal form is necessary in the chiral effective models to account for the large mass of X meson, which is now called η'. The determinantal interaction has an SU(3)_L (×) SU(3)_R symmetry but not U(3)_L (×) U(3)_R, and, hence accounts for the explicit breaking of U(1)_A symmetry in quantum chromodynamics (QCD); the vertex was later derived by't Hooft as an instanton-induced quark interaction. The vertex, which may be called the Kobayashi-Maskawa-'t Hooft (KMT) term, is widely used in quantitative analyses of hadron physics and QCD phase transitions at finite temperature and density. An account is made for the KMT term with recent extensive applications. Described are also personal experiences with Professor Maskawa and Professor Kobayashi, including an encounter with Professor Maskawa when the author first presented his work on the KMT term.

Journal

  • Progress of Theoretical Physics

    Progress of Theoretical Physics 122(1), 255-271, 2009-07-25

    Published for the Yukawa Institute for Theoretical Physics and the Physical Society of Japan

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Codes

  • NII Article ID (NAID)
    110007339437
  • NII NACSIS-CAT ID (NCID)
    AA00791455
  • Text Lang
    ENG
  • Article Type
    REV
  • ISSN
    0033068X
  • NDL Article ID
    10297577
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A468
  • Data Source
    CJP  NDL  NII-ELS 
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