Canonical Quantization of Non-Abelian Gauge Field. II

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概要

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• The procedure of the canonical quantization of non-abelian gauge fields presented in a previous paper is applied to the case of the axial gauge condition. In this case the problem with respect to the ordering of operators does not occur and the quantized Hamiltonian takes the same from as that of the classical one. The equivalence of our consequences for the Coulomb and the axial gauge conditions to those given by the Feynman path integration procedure is investigated. Although the results given by the both methods coincide with each other in case of the axial gauge condition, it seems that there is some inequivalence between them in case of the Coulomb gauge condition. Our results suggest that the naive change of the integral variables in the path integration method cannot remove the disagreement between the both procedures.

• 理論物理学刊行会の論文
• 1976-11-25

著者

• SAKAMOTO Jiro

  Department of Cardiology, Tenri Hospital

• Sakamoto Jiro

  Department Of Physics Osaka University

• Sato Masa-aki

  College Of General Education Osaka University

• SATO Masaaki

  College of General Education, Osaka University

• SATO Matsuo

  Department of Physics, Graduate School of Science, Osaka University

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