ISSN:
1573-0530
Keywords:
calculus of variations
;
skyrme energy particle physics
;
skyrmion non-linear partial differential equations.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We introduce a formulation of the Skyrme problem using differential forms. By means of this formulation, we prove first that the homothetic map between the standard three-sphere of radius R, S3 r ⊂ R4, and S3 1 is the unique minimizer, modulo isometries, of the Skyrme energy in its homotopy class, for any R less than some critical value R0 ∈ (√3/2, √2]. We then establish a stability result for this Skyrme-form problem from which we can recover the result of M. Loss and N. S. Manton which states that this homothetic map is stable only up to R = √2.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1007452315571
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