Topological and Hopf charges of a twisted Skyrmion string

Autor:	Anderson, Malcolm, Hadi, Miftachul, Husein, Andri
Rok vydání:	2017
Předmět:	High Energy Physics - Theory Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We examine nonlinear sigma models, in particular the Skyrme model with a twist (the twisted Skyrmion string), which comprises a vortex solution with an added dependence on a twist term $mkz$, where $z$ is the vertical coordinate. The topological and Hopf charges of a twisted Skyrmion string are calculated and are shown to be equivalent to the winding number $n$ of the vortex and proportional to $nmk$, respectively. The principle of conservation of the Hopf charge, which is a standard property of the baby Skyrmion model, is generalised to cover the non-compact twisting solutions studied here. Comment: 8 pages, submitted to Journal of Mathematical and Fundamental Sciences. arXiv admin note: text overlap with arXiv:1505.05930
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.01250 Zobrazit plný text záznamu View this record from Arxiv