Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-10-22
Phys.Lett.B661:378-380,2008
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1016/j.physletb.2008.02.033
The authors of the article Phys. Lett. B 652 (2007) 384, (arXiv:0707.2207), propose an interesting method to solve the Faddeev model by reducing it to a set of first order PDEs. They first construct a vectorial quantity $\bm \alpha $, depending on the original field and its first derivatives, in terms of which the field equations reduce to a linear first order equation. Then they find vectors $\bm \alpha_1$ and $\bm \alpha_2$ which identically obey this linear first order equation. The last step consists in the identification of the $\bm \alpha_i$ with the original $\bm \alpha$ as a function of the original field. Unfortunately, the derivation of this last step in the paper cited above contains an error which invalidates most of its results.
Adam Christoph
Sanchez-Guillen Joaquin
Wereszczynski Andrzej
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