On the geometrized Skyrme and Faddeev models

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.

19 pages. Published version with a new example added in section 5.

References in corpus (6)

• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• Exact vortex solutions in an extended Skyrme-Faddeev model
• On the Strong Coupling Limit of the Faddeev-Hopf Model
• Some classifications of \infty-Harmonic maps between Riemannian manifolds
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Cited by in corpus (2)

• Steady Euler flows and the Faddeev-Skyrme model with mass term
• On a stability property of Skyrme-related energy functionals