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arXiv · 0809.4864

On the geometrized Skyrme and Faddeev models

Radu Slobodeanu
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Abstract

The higher-power derivative terms involved in both Faddeev and Skyrme energy functionals correspond to $\sigma_2$-energy, introduced by Eells and Sampson. The paper provides a detailed study of the first and second variation formulae associated to this energy. Some classes of (stable) critical maps are outlined.

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BibTeXRIS

Radu Slobodeanu. 2008-09-29. On the geometrized Skyrme and Faddeev models. https://doi.org/10.1016/j.geomphys.2009.12.012

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