Analysis of the Faddeev model

Details Analysis of the Faddeev model Analysis of the Faddeev model

2004-03-14

arxiv.org/abs/math-ph/0403025v1

Physics

Mathematical Physics

Scientific paper

In this paper we consider a generalization of the Faddeev model for the maps from a closed three-manifold into the two-sphere. We give a novel representation of smooth $ S^2$-valued maps based on flat connections. This representation allows us to obtain an analytic description of the homotopy classes of $ S^2$-valued maps that generalizes to Sobolev maps. It also leads to a new proof an old theorem of Pontrjagin. For the generalized Faddeev model, we prove the existence of minimizers in every homotopy class.

Affiliated with

Also associated with

No associations

Rating

Analysis of the Faddeev model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Analysis of the Faddeev model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analysis of the Faddeev model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-436784