On the global behaviour of symmetric Skyrmions

Yisong Yang

doi:10.1007/BF00402257

On the global behaviour of symmetric Skyrmions

Yisong Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that the chiral angle, θ(r), of the hedgehog (symmetric) Skyrmions with an arbitrary baryon number, is a strictly decreasing or increasing function. For large values of r>0, θ(r) is strictly convex or concave. As r→∞, θ(r) and θ′(r) approach their limit values at the rate O r^-αfor any α∈(0,2).

Original language	English (US)
Pages (from-to)	25-33
Number of pages	9
Journal	Letters in Mathematical Physics
Volume	19
Issue number	1
DOIs	https://doi.org/10.1007/BF00402257
State	Published - Jan 1990

Keywords

AMS subject classifications (1980): 81E, 49H05

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00402257

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abstract = "It is shown that the chiral angle, θ(r), of the hedgehog (symmetric) Skyrmions with an arbitrary baryon number, is a strictly decreasing or increasing function. For large values of r>0, θ(r) is strictly convex or concave. As r→∞, θ(r) and θ′(r) approach their limit values at the rate O r-αfor any α∈(0,2).",

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AB - It is shown that the chiral angle, θ(r), of the hedgehog (symmetric) Skyrmions with an arbitrary baryon number, is a strictly decreasing or increasing function. For large values of r>0, θ(r) is strictly convex or concave. As r→∞, θ(r) and θ′(r) approach their limit values at the rate O r-αfor any α∈(0,2).

KW - AMS subject classifications (1980): 81E, 49H05

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On the global behaviour of symmetric Skyrmions

Abstract

Keywords

ASJC Scopus subject areas

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