The BPS sectors of the Skyrme model and their non-BPS extensions

Christoph Adam, David Foster, Steffen Krusch, Andrzej Wereszczynski

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)
236 Downloads (Pure)


Two recently found coupled BPS submodels of the Skyrme model are further analyzed. Firstly, we provide a geometrical formulation of the submodels in terms of the eigenvalues of the strain tensor. Secondly, we study their thermodynamical properties and show that the mean-field equations of state coincide at high pressure and read p=ρ¯/3. We also provide evidence that matter described by the first BPS submodel has some similarity with a Bose-Einstein condensate. Moreover, we show that extending the second submodel to a non-BPS model by including certain additional terms of the full Skyrme model does not spoil the respective ansatz, leading to an ordinary differential equation for the profile of the Skymion, for any value of the topological charge. This allows for an almost analytical description of the properties of Skyrmions in this model. In particular, we analytically study the breaking and restoration of the BPS property. Finally, we provide an explanation of the success of the rational map ansatz.
Original languageEnglish
Article number036002
JournalPhysical Review D
Issue number3
Early online date9 Feb 2018
Publication statusE-pub ahead of print - 9 Feb 2018

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