arXiv subjects

J. Yamashita

Publications and source records attributed to J. Yamashita.

3 recordsLinked to original sources

arXiv2004

Decomposition of meron configuration of SU(2) gauge field

For the meron configuration of the SU(2) gauge field in the four dimensional Minkowskii spacetime, the decomposition into an isovector field $\bn$, isoscalar fields $ρ$ and $σ$, and a U(1) gauge field $C_μ$ is attained by solving the consistency condition for $\bn$. The resulting $\bn$ turns out to possess two singular points, behave like a monopole-antimonopole pair and reduce to the conventional hedgehog in a special case. The $C_μ$ field also possesses singular points, while $ρ$ and $σ$ are regular everywhere.

hep-th↗

arXiv2003

Elliptic solutions of the Skyrme model

A class of exact solutions of the Skyrme model are obtained. They are described by the Weierstrass $\wp$-function or the Jacobi elliptic function. They are not solitonic but of wave character. They supply us with examples of the superposition of three plane waves in the Skyrme model.

hep-th↗

arXiv2002

Class of exact solutions of the Skyrme and the Faddeev model

Class of exact solutions of the Skyrme and the Faddeev model are presented. In contrast to previously found solutions, they are produced by the interplay of the two terms in the Lagrangians of the models. They are not solitonic but of wave character. With an appropriate choice of field variables, the field equations of the two models are written in exactly the same form. The solutions supply us with examples of the superposition of two plane waves in nonlinear field theories.

hep-th↗