Consistency Conditions of the Faddeev-Niemi-Periwal Ansatz for the SU(N) Gauge Field : Particles and Fields

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概要

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• The consistency condition of the Faddeev-Niemi ansatz for the gauge-fixed massless SU(2) gauge field is discussed. The generality of the ansatz is demonstrated by obtaining a sufficient condition for the existence of the three-component field introduced by Faddeev and Niemi. It is also shown that the consistency conditions determine this three-component field as a functional of two arbitrary functions. The consistency conditions corresponding to the Periwal ansatz for the SU(N) gauge field with N ≥ 3 are also obtained. It is shown that the gauge field obeying the Periwal ansatz must satisfy extra (N - 1)(N - 2)/2 conditions.

• 理論物理学刊行会の論文
• 1999-05-25

著者

• Minoru Hirayama

  Department Of Physics Toyama University

• Hirayama Minoru

  Department Of Physics Toyama University

• KANNO Mika

  Department of Microbiology, Tohoku Pharmceutical University

• Kanno Mika

  Department Of Physics Toyama University

• Kanno Mika

  Department Of Biology Faculty Of Science Niigata University

• UENO Masataka

  Department of Physics, Toyama University

• YAMAKOSHI Hitoshi

  Toyama National College of Technology

• Yamakoshi H

  Toyama National College Of Technology

• Ueno Masataka

  Department Of Physics Toyama University

• Hirayama Minoru

  Department Of Physics Faculty Of Literature And Science Toyama University

• Hirayama Minoru

  Department Of Internal Medicine Yokosuka Kyosai Hospital

• Kanno Mika

  Department of Physics, Toyama University

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