4,030 research outputs found
Domain wall solution of the Skyrme model
A class of domain-wall-like solutions of the Skyrme model is obtained
analytically. They are described by the tangent hyperbolic function, which is a
special limit of the Weierstrass function. The behavior of one of the two
terms in the static energy density is like that of a domain wall. The other
term in the static energy density does not vanish but becomes constant at the
points far apart from the wall.Comment: 17 pages, 6 eps figure
Solitonic solutions of Faddeev model
An application of the equation proposed by the present authors, which is
equivalent to the static field equation of the Faddeev model, is discussed.
Under some assumptions on the space and on the form of the solution, the field
equation is reduced to a non-linear ODE of second order. By solving this
equation numerically, some solitonic solutions are obtained. It is discussed
that the product of two integers specifying solutions may be identified with
the Hopf topological invariant
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