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Prog. Theor. Phys. Vol. 53 No. 3 (1975) pp. 871-881

[ Full Text PDF : FREE ACCESS (747K) ]

Gauge Structure of Neutral-Vector Field Theory

Reijiro Kubo and Kan-ichi Yokoyama

Research Institute for Theoretical Physics, Hiroshima University, Takehara, Hiroshima 725

(Received July 5, 1974)

Abstract:

General aspects of gauge structure of neutral-vector field theory are investigated from an extended standpoint, where massive vector fields are treated in a form corresponding to the electromagnetic fields in a general gauge formalism reported previously. All results obtained are shown to have unique massless limits. It is shown that a generalized q-number gauge transformation for fields makes the theory invariant in cooperation with a simultaneous transformation for relevant gauge parameters. A method of differentiation with respect to a gauge variable is found to clarifysome essential features of the gauge structure. Two possible types of gauge structurealso emerge correspondingly to the massless case.A neutralvector field theory proposed in apreceding paperis included in the present framework as the most preferable case.


URL : http://ptp.ipap.jp/link?PTP/53/871/
DOI : 10.1143/PTP.53.871

[ Full Text PDF : FREE ACCESS (747K) ] Citation:

References:

  1. K. Yokoyama, Prog. Theor. Phys. 51 (1974), 1956[PTP].
  2. K. Yokoyama and R. Kubo, Prog. Theor. Phys. 52 (1974), 290[PTP].
  3. K. Yokoyama, Prog. Theor. Phys. 52 (1974), 1669[PTP].

Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 911-912 :
    Amount of Gauge Transformations in Neutral-Vector Field Theory
    Reijiro Kubo and Kan-ichi Yokoyama
  2. 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
  3. Progress of Theoretical Physics Vol. 55 No. 3 (1976) pp. 910-921 :
    Momentum-Space Operators in Covariant-Gauge Quantum Electrodynamics
    Kan-ichi Yokoyama and Shyozo Yamagami
  4. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1259-1275 :
    Canonical Quantization of Massless Tensor Field in General Covariant Gauge
    Toshiei Kimura
  5. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 579-589 :
    Massless Spin Two Field, Covariant Quantization in a General Covariant Gauge
    L. Fernandez, A. Foussats, R. Laura, J. Lewis and O. Zandron
  6. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1699-1708 :
    Canonical Yang-Mills Field Theory with Invariant Gauge-Families
    Kan-ichi Yokoyama
  7. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1384-1392 :
    Possible Situation for Gauge Independence of Wave-Function Renormalization Constants in Gauge-Field Theories
    Takashi Fukuda, Reijiro Kubo and Kan-ichi Yokoyama
  8. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1206-1215 :
    Quantum Theory of Massive Yang-Mills Fields. II
    Takashi Fukuda, Minoru Monda, Minoru Takeda and Kan-ichi Yokoyama

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