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Prog. Theor. Phys. Vol. 50 No. 4 (1973) pp. 1388-1396

[ Full Text PDF : FREE ACCESS (623K) ]

Quantum Field Theory with Spontaneous Breakdown of the Chiral-Gauge Invariance

Noboru Nakanishi

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606

(Received May 23, 1973)

Abstract:

Freundlich and Lurié's model of the spontaneous breakdown of the chiral-gauge invariance is consistently formulated as an indefinite-metric quantum field theory on the basis of the Landau-gauge quantum electrodynamics. Though Freundlich and Lurié concluded the nonexistence of the massless Goldstone bosons, it cannot be valid as was criticized by Aurilia, Takahashi and Umezawa. It is clearly demonstrated that the massless Goldstone bosons are present as unphysical quanta and that the theory is manifestly covariant contrary to the result of Aurilia, Takahashi and Umezawa. The generator of the chiral-gauge transformation is explicitly expressed in terms of in-fields without any approximation.


URL : http://ptp.ipap.jp/link?PTP/50/1388/
DOI : 10.1143/PTP.50.1388

[ Full Text PDF : FREE ACCESS (623K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 51 No. 3 (1974) pp. 952-953 :
    A Way out of a Formal Difficulty Encountered in the Landau-Gauge Quantum Electrodynamics
    Noboru Nakanishi
  2. Progress of Theoretical Physics Vol. 51 No. 4 (1974) pp. 1183-1192 :
    Ward-Takahashi Identities in Quantum Field Theory with Spontaneously Broken Symmetry
    Noboru Nakanishi
  3. Progress of Theoretical Physics Vol. 52 No. 3 (1974) pp. 1072-1074 :
    Remarks on the Asymptotic-Field Approach to the Gauge Theory
    Noboru Nakanishi and Keiichi R. Ito
  4. Progress of Theoretical Physics Vol. 52 No. 6 (1974) pp. 1929-1945 :
    The Lehmann-Symanzik-Zimmermann Formalism for Manifestly Covariant Quantum Electrodynamics
    Noboru Nakanishi
  5. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 817-828 :
    Two-Dimensional Massless Quantum Electrodynamics in the Landau-Gauge Formalism and the Higgs Mechanism
    Keiichi R. Ito
  6. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 840-847 :
    Dipole-Ghost Goldstone Bosons in the Higgs Model and in the Schwinger Model
    Noboru Nakanishi
  7. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 848-859 :
    The Higgs Mechanism in a Covariant-Gauge Formalism
    Kan-ichi Yokoyama and Reijiro Kubo
  8. Progress of Theoretical Physics Vol. 54 No. 5 (1975) pp. 1532-1536 :
    Dipole-Ghost Goldstone Field under Spontaneous Breakdown of Chiral-Gauge Invariance
    Kan-ichi Yokoyama, Shyozo Yamagami and Reijiro Kubo
  9. Progress of Theoretical Physics Vol. 55 No. 2 (1976) pp. 604-609 :
    Remarks on the Bethe-Salpeter Equation in a Model with Dynamical Higgs Mechanism
    Noboru Nakanishi and Kan-ichi Yokoyama
  10. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1663-1665 :
    A Comment on the Aurilia-Takahashi-Umezawa Method for the Dynamical Higgs Mechanism
    Shyozo Yamagami and Kan-ichi Yokoyama
  11. Progress of Theoretical Physics Vol. 56 No. 3 (1976) pp. 972-980 :
    Vector Field with a Bare Mass and the Higgs Mechanism
    Masahiko Konoue and Noboru Nakanishi
  12. Progress of Theoretical Physics Vol. 57 No. 2 (1977) pp. 580-592 :
    Operator Solutions in Terms of Asymptotic Fields in the Thirring and Schwinger Models
    Noboru Nakanishi
  13. Progress of Theoretical Physics Vol. 58 No. 3 (1977) pp. 1007-1013 :
    Lorentz Transformation Properties in the Thirring and Schwinger Models
    Noboru Nakanishi
  14. Progress of Theoretical Physics Vol. 61 No. 1 (1979) pp. 294-314 :
    Manifestly Covariant Canonical Formulation of Yang-Mills Field Theories. II
    Taichiro Kugo and Izumi Ojima

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