科研之友
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摘要
Faddeev and Niemi have proposed a reformulation of SU(2) Yang-Mills theory in terms of a U(1) gauge theory with 8 off-shell degrees of freedom. The corresponding equations of motion are those of Yang-Mills theory multiplied by a field-dependent matrix. We demonstrate that the kernel of this matrix is nontrivial by presenting a solution to Faddeev and Niemi's formulation which does not solve the SU(2) Yang-Mills Gauss constraints. This demonstrates that the proposed reformulation is inequivalent to Yang-Mills, but instead describes Yang-Mills coupled to a particular choice of external charge.
- 出版日期2011-4
