Ahmad Mohamadnejad, Sedigheh Deldar
We propose a decomposition for SU(2) Yang-Mills field in the low energy limit. Motivated by Abelian dominance, we suppose that in the infrared regime of the SU(2) gauge theory, the field strength tensor can be obtained by multiplying two parts: $ G_{\mu\nu} $ and $ \textbf{n} $, where $ G_{\mu\nu} $ is a space-time tensor and the second part, $ \textbf{n} $, is an isotriplet unit vector field which gives the Abelian direction at each space-time point, $ \textbf{G}_{\mu\nu}=G_{\mu\nu} \textbf{n} $. By considering some physical assumptions, this leads to a decomposition for the SU(2) Yang-Mills field. It seems that by this type of decomposition, both monoploes and vortices appear at the same time. In addition, in the presence of vortices, Dirac quantization condition is manifested with a rescaled electric charge, as well.
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http://arxiv.org/abs/1304.4783
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