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arXiv · 0710.4088

Comment on ``Reduction of static field equation of Faddeev model to first order PDE'', arXiv:0707.2207

C. Adam·J. Sanchez-Guillen·A. Wereszczynski
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Abstract

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 $\bm α$, 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 $\bm α_1$ and $\bm α_2$ which identically obey this linear first order equation. The last step consists in the identification of the $\bm α_i$ with the original $\bm α$ 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.

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C. Adam, J. Sanchez-Guillen, A. Wereszczynski. 2007-10-22. Comment on ``Reduction of static field equation of Faddeev model to first order PDE'', arXiv:0707.2207. https://doi.org/10.1016/j.physletb.2008.02.033

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