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Prog. Theor. Phys. Vol. 39 No. 1 (1968) pp. 195-202

[ Full Text PDF : FREE ACCESS (364K) ]

Phenomenological Dynamics of Strong Interaction with Partial Chiral Symmetry

Takanori Shiozaki

Department of Physics, Nagoya University, Nagoya

(Received August 30, 1967)

Abstract:

We construct the phenomenological strong interaction Lagrangian with chiral U(3)×U(3) symmetry and PCAC. The universal interaction with vector and axial vector mesons are also introduced by generalizing the Yang-Mills theory.


URL : http://ptp.ipap.jp/link?PTP/39/195/
DOI : 10.1143/PTP.39.195

[ Full Text PDF : FREE ACCESS (364K) ] Citation:

References:

  1. T. Shiozaki, Vector and Axial vector Mesons and Chiral Current Algebra, (preceding note).
  2. M. Gell-Mann, Phys. Rev. 125 (1962), 1067[APS].
    M. Gell-Mann, Physics 1 (1964), 63.
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  4. F. Gürsey, Nuovo Cim. 16 (1960), 230.
    F. Gürsey, Ann. of Phys. 12 (1961), 91[CrossRef].
  5. J. A. Cronin, A. Phenomenological Model of Strong and Weak Interactions in Chiral U(3)×U(3), preprint (University of Chicago) EFINS 67-19 (1967).
  6. J. Schwinger, Phys. Lett. B 24 (1967), 473[CrossRef].
  7. A. W. Martin and K. C. Wali, Phys. Rev. 130 (1963), 2455[APS].
  8. N. Cabibbo, Phys. Rev. Lett. 10 (1963), 531[APS].
  9. S. Weinberg, Phys. Rev. Lett. 18 (1967), 188[APS].
  10. K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16 (1966), 255[APS].
  11. Riazuddin and Fayyazuddin, Phys. Rev. 147 (1966), 1071[APS].
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  14. The empirical relation that (mp)2:(mA1)2=1:2:3 was first pointed out in T. Takabayasi, Nuovo Cim. 34 (1964), 512.

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 39 No. 1 (1968) pp. 189-194 :
    Vector and Axial Vector Mesons and Chiral Current Algebra
    Takanori Shiozaki
  2. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1527-1530 :
    Compton Scattering of Isovector Photons with Nucleons and Algebra of Fields
    Masaaki Kato and Ken Kawarabayashi
  3. Progress of Theoretical Physics Vol. 39 No. 6 (1968) pp. 1605-1606 :
    Symmetry Breaking in the SU(3) Chiral Dynamics
    Toshiyuki Minamikawa
  4. Progress of Theoretical Physics Vol. 40 No. 6 (1968) pp. 1402-1413 :
    Nonleptonic Decays of K Mesons in Chiral Dynamics and the Proof of the ΔI=1/2 Rule
    Toshiyuki Minamikawa
  5. Progress of Theoretical Physics Vol. 41 No. 5 (1969) pp. 1309-1327 :
    A Canonical Field Theory of Chiral Symmetry
    Shoji Ozaki
  6. Progress of Theoretical Physics Vol. 42 No. 3 (1969) pp. 730-732 :
    FK/Fπ and Broken SU(3) ⊗SU(3) Chiral Dynamics
    Hujio Noda
  7. Progress of Theoretical Physics Vol. 42 No. 6 (1969) pp. 1372-1393 :
    Chiral Symmetry with the ρ-Photon Analogy
    Tadayuki Ohta and Takeshi Ebata

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