Structure of the Gauge Transformation Group in the Square Integrable Space and Gribov's Ambiguity in the Coulomb Gauge

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概要

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• It is found that a well-defined gauge transformation group and the well-known disconnected structure of it emerge only from the square integrability with some natural assumption of the boundedness on the gradient of the gauge field. The geometrical formulation of the Coulomb gauge fixing degeneracy is restated with more careful treatment to the dual space considered as space of distribution, than in our previous paper. A comment on the suitably restricted space version of the formulation is made. As such an example, 'O(3) symmetric' case is treated. Together with the disconnected structure of the gauge transformation group, it is found that there exist a lot of Coulomb gauge fixing degeneracies such that "topological number" jumps by any integer value between transverse fields.

• 理論物理学刊行会の論文
• 1980-02-25

著者

• NAKAJIMA Hideo

  Department of Information Systems Science, Utsunomiya University

• MASKAWA Toshihide

  Institute for Nuclear Study, University of Tokyo

• MASKAWA Toshihide

  Research Institute for Fundamental Physics Kyoto University

• Maskawa Toshihide

  Institute For Nuclear Study University Of Tokyo

• NAKAJIMA Hideo

  Research Institute for Fundamental Physics, Kyoto University

• Nakajima Hideo

  Department Of Engineering Mathematics Utsunomiya University

• Nakajima Hideo

  Department Of Engineering Mathematics Faculty Of Engineering Utsunomiya University

• NAKAJIMA Hiroaki

  Department of Physics, Chuo University

• NAKAJIMA Hideo

  Laboratory of Applied Mathematics and Mathematical Physics Department of Information Science, Utsunomiya University

• NAKAJIMA HIDEO

  Deparment of Plastic and Reconstructive Surgery, School of Medicine, Keio University

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