A Class of Exact Solutions of the Faddeev Model

Details A Class of Exact Solutions of the Faddeev Model A Class of Exact Solutions of the Faddeev Model

2003-10-06

arxiv.org/abs/hep-th/0310042v2

Phys.Rev. D69 (2004) 045001

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 7 figures, refs. added

Scientific paper

10.1103/PhysRevD.69.045001

A class of exact solutions of the Faddeev model, that is, the modified SO(3) nonlinear sigma model with the Skyrme term, is obtained in the four dimensional Minkowskian spacetime. The solutions are interpreted as the isothermal coordinates of a Riemannian surface. One special solution of the static vortex type is investigated numerically. It is also shown that the Faddeev model is equivalent to the mesonic sector of the SU(2) Skyrme model where the baryon number current vanishes.

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