Linking number of vortices as baryon number

Sven Bjarke Gudnason, Muneto Nitta

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We show that the topological degree of a Skyrmion field is the same as the Hopf charge of the field under the Hopf map and thus equals the linking number of the preimages of two points on the 2-sphere under the Hopf map. We further interpret two particular points on the 2-sphere as vortex zeros and the linking of these zero lines follows from the latter theorem. Finally we conjecture that the topological degree of the Skyrmion can be interpreted as the product of winding numbers of vortices corresponding to the zero lines, summing over clusters of vortices.

本文言語English
論文番号065011
ジャーナルPhysical Review D
101
6
DOI
出版ステータスPublished - 2020 3 15

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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