EVENT DETAILS AND ABSTRACT

Title: On the models of Skyrme and Faddeev
Speaker: Professor Lev Kapitanski
Speaker Info: Kansas State University
Brief Description:
Special Note:
Abstract:

The Skyrme model (1961) was one of the first attempts to describe elementary particles as localized in space solutions of nonlinear PDEs. The fields take their values in SU(2)=S^3 and stabilize at spatial infinity. Thus, the configuration space splits into different sectors (homotopy classes) with a constant integer topological charge (the degree) in each sector. Faddeev's model (1975) was designed to provide additional internal structure (knottedness) to the localized solutions. The fields take their values in the two-dimensional sphere and the topological charge is the Hopf invariant.

I will discuss some old and new results for these models.