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

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 $\mathbf{\alpha }$, 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 ${\mathbf{\alpha }}_1$ and ${\mathbf{\alpha }}_2$ which identically obey this linear first order equation. The last step consists in the identification of the ${\mathbf{\alpha }}_i$ with the original $\mathbf{\alpha }$ 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.

References in corpus (1)

• Reduction of static field equation of Faddeev model

Cited by in corpus (1)

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