On the geometrized Skyrme and Faddeev models
Differential Geometry
2010-03-26 v6 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The higher-power derivative terms involved in both Faddeev and Skyrme energy functionals correspond to -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.
Cite
@article{arxiv.0809.4864,
title = {On the geometrized Skyrme and Faddeev models},
author = {Radu Slobodeanu},
journal= {arXiv preprint arXiv:0809.4864},
year = {2010}
}
Comments
19 pages. Published version with a new example added in section 5.