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Prog. Theor. Phys. Vol. 27 No. 3 (1962) pp. 474-482
On the Static and Spherically Symmetric Solutions of the Yang-Mills Field
Mineo Ikeda and
Yoshihiko Miyachi*
Research Institute for Theoretical Physics, Hiroshima University, Takehara
*Department of Physics, Faculty of Liberal Arts and Science, Shinshu University, Matsumoto
(Received October 11, 1961)
Abstract:
The b field equations proposed by Yang and Mills are investigated from a classical point of view, and the general solution is obtained under the condition of the static and spherically symmetric field. It is found that the solution is reducible to the “canonical form” by means of the isotopic gauge transformation. From this canonical form it is very likely that the mass of the b quantum is zero in spite of the non-linearity of the field equations.
URL :
http://ptp.ipap.jp/link?PTP/27/474/
DOI : 10.1143/PTP.27.474
References:
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C. N. Yang and R. L. Mills, Phys. Rev. 96 (1954), 191[APS].
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S. A. Bludman, Phys. Rev. 100 (1955), 372[APS].
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R. Utiyama, Phys. Rev. 101 (1956), 1597[APS].
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J. J. Sakurai, Ann. Phys. 11 (1960), 1[CrossRef].
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H. Umezawa and S. Kamefuchi, Nucl. Phys. 23 (1961), 399[CrossRef].
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Citing Article(s) :
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Progress of Theoretical Physics Vol. 66 No. 2 (1981) pp. 734-735
:
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Axially Symmetric Solutions to a Classical SU(2) Gauge Theory
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Jiro Sakamoto
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Progress of Theoretical Physics Vol. 68 No. 1 (1982) pp. 261-276
:
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On the Spherically Symmetric Solution of the Classical SU(2) Yang-Mills Field
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Yoshihiko Miyachi, Mineo Ikeda and Takayoshi Maekawa
