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arXiv · 1010.1702

A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law

Jarah Evslin·Simone Giacomelli
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Abstract

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. We present 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.

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Jarah Evslin, Simone Giacomelli. 2010-10-08. A Faddeev-Niemi Solution that Does Not Satisfy Gauss' Law. https://doi.org/10.1007/jhep04(2011)022

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