闵可夫斯基空间R^(1+(1+n))中的Faddeev模型

Faddeev model in Minkowski space R^(1+(1+n))

Faddeev模型是经典场论中用结状拓扑孤子来模拟重基本粒子的重要模型,是粒子物理中经典非线性Sigma模型的推广,与著名的Skyrme模型也有密切的关系.给出了闵可夫斯基空间R^(1+(1+n))中Faddeev模型的方程推导,证明了方程具有一些重要的性质,并给出了一些精确解.

The Faddeev model is used in modeling heavy elementary particles by topo-logical knotted solitons in classical field theory.It is a generalization of the well-known classical nonlinear sigma model of Gell-Mann and Levy.In addition,it is closely related to the celebrated Skyrme model.In this paper,we derive the equation of the Faddeev model in the Minkowski space R^(1+(1+n)),and show that the system enjoys many interesting properties,and provide some exact solutions in special cases.