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Solitons/instantons in d-dimensional gauged Skyrme models

Y Brihaye-+ and D H Tchrakian++

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Recommended by N Manton

SO(d) gauged Skyrme models, in three and four dimensions respectively, are studied numerically. The soliton/instanton solutions in these models are stabilized by the degree of the maps rather than the Chern-Pontryagin indices, but some of these solutions carry the latter index too. These models feature asymptotic properties that are different from those of the corresponding Higgs models, mainly in that they exhibit catastrophic behaviour for some ranges of the coupling constants in the models.


PACS

05.45.Yv Solitons

12.39.Dc Skyrmions

11.10.Lm Nonlinear or nonlocal theories and models

11.15.-q Gauge field theories

MSC

35Q51 Solitons (See also 37K40)

81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)

Subjects

Particle physics and field theory

Statistical physics and nonlinear systems

Dates

Issue 4 (July 1998)

Received 3 July 1997, in final form 27 February 1998



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