How Dense Are the Coulomb Gauge Fixing Degeneracies? : Geometrical Formulation of the Coulomb Gauge

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概要

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• Geometrical formulation of the Coulomb gauge fixing problem in Yang-Mills theory is given for a functional space of gauge fields, L^2-space. It is investigated in this formulation what kind of gauge transformations is responsible for gauge fixing degeneracies, i.e., is able to bridge transverse fields. It is shown through these analyses that almost all gauge transformations are responsible for the gauge fixing degeneracies, and those transverse fields which are bridged by non-trivial gauge transformations exist quite densely. A comment is made on "largeness" of gauge field which is thought to be concerned with the gauge fixing degneracies. Some discussions are given, concerning Coulomb gauge vacua, and a class of axially symmetric vacua is presented.

• 理論物理学刊行会の論文
• 1978-11-25

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 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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