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Prog. Theor. Phys. Vol. 45 No. 6 (1971) pp. 1955-1959

[ Full Text PDF : FREE ACCESS (313K) ]

Symmetry Breaking of the Chiral U(3) ⊗U(3) and the Quark Model

Makoto Kobayashi, Hiroki Kondo* and Toshihide Maskawa**

Department of Physics, Nagoya University, Nagoya
*Department of Physics, Saga University, Saga
**Department of Physics, Kyoto University, Kyoto

(Received February 12, 1971)

Abstract:

Through an analysis of the masses of η and X mesons, possible symmetry breaking terms are introduced, in addition to the quark mass term, and are explicitly constructed from quark fields. The six-fermion interaction is discussed as one of their simplest examples.


URL : http://ptp.ipap.jp/link?PTP/45/1955/
DOI : 10.1143/PTP.45.1955

[ Full Text PDF : FREE ACCESS (313K) ] Citation:

References:

  1. M. Gell-Mann, R. J. Oakes and B. Renner, Phys. Rev. 175 (1968), 2195[APS].
  2. Y. Nambu, Phys. Rev. Lett. 4 (1960), 380[APS].
    Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122 (1961), 345[APS]; ibid. 124 (1961), 246[APS].
  3. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 44 (1970), 1422[PTP].
  4. S. L. Glashow, Hadrons and Their Interactions, edited by A. Zichichi (Academic Press, New York and London, 1968).
  5. J. A. Cronin, Phys. Rev. 161 (1967), 1483[APS].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 47 No. 5 (1972) pp. 1682-1703 :
    Quartet Scheme of Hadrons in Chiral U(4) ⊗U(4)
    Ziro Maki, Toshihide Maskawa and Isao Umemura
  2. Progress of Theoretical Physics Vol. 48 No. 2 (1972) pp. 596-606 :
    A New Approach to η→2γ Decay and Models of Elementary Particles
    Ziro Maki, Toshihide Maskawa and Isao Umemura
  3. Progress of Theoretical Physics Vol. 49 No. 1 (1973) pp. 365-366 :
    Non-Conservation of the Unitary-Singlet Axial-Vector Current and the Possible Role of the Fujii Boson with Mass Larger than mη'/2
    Ken-iti Matumoto
  4. Progress of Theoretical Physics Vol. 49 No. 2 (1973) pp. 634-639 :
    Symmetry Breaking of Chiral U(3) ⊗U(3) and X →ηππ Decay Amplitde
    Makoto Kobayashi, Hiroki Kondo and Toshihide Maskawa
  5. Progress of Theoretical Physics Vol. 49 No. 3 (1973) pp. 1007-1013 :
    Hadron Symmetries and Gauge Theory of Weak and Electromagnetic Interactions
    Ziro Maki and Toshihide Maskawa
  6. Progress of Theoretical Physics Vol. 50 No. 5 (1973) pp. 1752-1753 :
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  7. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 249-258 :
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  8. Progress of Theoretical Physics Vol. 52 No. 4 (1974) pp. 1326-1354 :
    Spontaneous Breaking of Chiral Symmetry in a Vector-Gluon Model
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  9. Progress of Theoretical Physics Vol. 53 No. 4 (1975) pp. 1145-1161 :
    η→2γ Decay and Models of Elementary Particles
    Kikutaro Ohnishi, Tadayuki Teshima and Isao Umemura
  10. Progress of Theoretical Physics Vol. 57 No. 3 (1977) pp. 1062-1063 :
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  11. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1127-1143 :
    Axial-Vector Current Anomaly, Decay Constants, and η-η'-ηc Problem in an N-Flavour Quark Model
    Ziro Maki, Tadayuki Teshima and Isao Umemura
  12. Progress of Theoretical Physics Vol. 109 No. 6 (2003) pp. 969-980 :
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    Kenichi Naito, Makoto Oka,^** Makoto Takizawa and Toru Umekawa
  13. Progress of Theoretical Physics Supplement No.120 (1995) pp. 75-93 :
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  14. Progress of Theoretical Physics Supplement No.137 (2000) pp. 121-145 :
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  15. Progress of Theoretical Physics Supplement No.168 (2007) pp. 458-465 :
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  16. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 316-324 :
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  17. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 447-454 :
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  18. Progress of Theoretical Physics Supplement No. 186 (2010) pp. 540-544 :
    Importance of Imaginary Chemical Potential for QCD Phase Diagram in the PNJL Model
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