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Prog. Theor. Phys. Vol. 52 No. 1 (1974) pp. 290-303

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Gauge Structure of Canonical Quantum Electrodynamics

Kan-ichi Yokoyama and Reijiro Kubo

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

(Received January 10, 1974)

Abstract:

Possible gauge structure associated with the q-number gauge transformation generated by a dipole gaugeon field is extensively studied in the framework of canonical quantum electrodynamics. The gauge structure is classified into two types, which will be referred to as Type I and Type II, respectively. A typical gauge structure in Type I is the one presented in a preceding paper. In Type I all possible one-parameter covariant gauges are divided into two gauge families complementary to each other, each of which is invariant with respect to the gauge transformation, while in Type II there does not occur such a division for gauges and a single gauge family covers the whole region for gauges. Circumstances of the gauge shift through renormalization and structure of binary dipole systems consisting of the longitudinal photon and the gaugeon fields are discussed for each of these two types of gauge structure.


URL : http://ptp.ipap.jp/link?PTP/52/290/
DOI : 10.1143/PTP.52.290

[ Full Text PDF : FREE ACCESS (1069K) ] Citation:


References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1669-1686 :
    Neutral-Vector Field Theory with Invariant Gauge Families
    Kan-ichi Yokoyama
  2. Progress of Theoretical Physics Vol. 53 No. 3 (1975) pp. 871-881 :
    Gauge Structure of Neutral-Vector Field Theory
    Reijiro Kubo and Kan-ichi Yokoyama
  3. 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
  4. Progress of Theoretical Physics Vol. 54 No. 3 (1975) pp. 878-892 :
    On Subsidiary Condition in Quantum Theory of Non-Abelian Gauge Fields
    Takao Okabayashi and Yasuo Yoshihuku
  5. 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
  6. 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
  7. Progress of Theoretical Physics Vol. 55 No. 4 (1976) pp. 1259-1275 :
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  8. Progress of Theoretical Physics Vol. 55 No. 5 (1976) pp. 1663-1665 :
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  9. Progress of Theoretical Physics Vol. 59 No. 2 (1978) pp. 579-589 :
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  10. Progress of Theoretical Physics Vol. 59 No. 5 (1978) pp. 1699-1708 :
    Canonical Yang-Mills Field Theory with Invariant Gauge-Families
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  11. Progress of Theoretical Physics Vol. 60 No. 3 (1978) pp. 857-867 :
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  12. Progress of Theoretical Physics Vol. 60 No. 4 (1978) pp. 1167-1174 :
    Renormalization Scheme of a Canonical Yang-Mills Field Theory with Invariant Gauge-Families
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  13. Progress of Theoretical Physics Vol. 63 No. 1 (1980) pp. 275-286 :
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  15. Progress of Theoretical Physics Vol. 63 No. 4 (1980) pp. 1384-1392 :
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  16. Progress of Theoretical Physics Vol. 67 No. 4 (1982) pp. 1206-1215 :
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  17. Progress of Theoretical Physics Vol. 88 No. 4 (1992) pp. 759-768 :
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  18. Progress of Theoretical Physics Vol. 90 No. 5 (1993) pp. 1111-1120 :
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  19. Progress of Theoretical Physics Vol. 90 No. 5 (1993) pp. 1121-1129 :
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  20. Progress of Theoretical Physics Vol. 92 No. 1 (1994) pp. 265-279 :
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  21. Progress of Theoretical Physics Vol. 93 No. 1 (1995) pp. 185-193 :
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  22. Progress of Theoretical Physics Vol. 98 No. 5 (1997) pp. 1193-1207 :
    Quantum Gauge Invariant Formalism of the Schwinger Model
    Yuji Nakawaki
  23. Progress of Theoretical Physics Vol. 103 No. 3 (2000) pp. 685-696 :
    Gaugeon Formalism for Spin-3/2 Rarita-Schwinger Gauge Field
    Ryusuke Endo and Minoru Koseki
  24. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 695-713 :
    BRST Symmetric Gaugeon Formalism for the Higgs Model
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  25. Progress of Theoretical Physics Vol. 117 No. 4 (2007) pp. 745-763 :
    Gauge Freedom in the Path Integral Formalism
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  26. Progress of Theoretical Physics Supplement No.66 (1979) pp. 1-130 :
    Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
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