One-Dimensional Topologically Nontrivial Solutions in the Skyrme Model
Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 193-208
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We consider the Skyrme model using the explicit parameterization of the rotation group $\mathbb S\mathbb O(3)$ through elements of its algebra. Topologically nontrivial solutions already arise in the one-dimensional case because the fundamental group of $\mathbb S\mathbb O(3)$ is $\mathbb Z_2$. We explicitly find and analyze one-dimensional static solutions. Among them, there are topologically nontrivial solutions with finite energy. We propose a new class of projective models whose target spaces are arbitrary real projective spaces $\mathbb R\mathbb P^d$.
Keywords:
topological solitons, Skyrme model.
@article{TMF_2004_138_2_a1,
author = {M. O. Katanaev},
title = {One-Dimensional {Topologically} {Nontrivial} {Solutions} in the {Skyrme} {Model}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {193--208},
publisher = {mathdoc},
volume = {138},
number = {2},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a1/}
}
M. O. Katanaev. One-Dimensional Topologically Nontrivial Solutions in the Skyrme Model. Teoretičeskaâ i matematičeskaâ fizika, Tome 138 (2004) no. 2, pp. 193-208. http://geodesic.mathdoc.fr/item/TMF_2004_138_2_a1/