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Linking number of vortices as baryon number

Sven Bjarke Gudnason
(
- Henan U.
)
,
Muneto Nitta
(
- Keio U.
)

Feb 5, 2020

11 pages

Published in:

Phys.Rev.D 101 (2020) 6, 065011

Published: Mar 20, 2020

e-Print:

2002.01762 [hep-th]

DOI:

10.1103/PhysRevD.101.065011

View in:

reference search5 citations

Citations per year

Abstract: (arXiv)

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.

Note:

LaTeX: 19 pages, 10 figures; V2: typos corrected

Linking number
Skyrmions
Vortices
Topology
Formal aspects of field theory, field theory in curved space
baryon number
vortex
Skyrmion
topological
charge: Hopf

References(20)

Figures(17)

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