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

Adam, Christoph, David, Foster, Steffen, Krusch, Andrzej, Wereszczynski (2018) The BPS sectors of the Skyrme model and their non-BPS extensions. Physical Review D, 97 . 036002. ISSN 2470-0010. E-ISSN 2470-0029. (doi:10.1103/PhysRevD.97.036002) (KAR id:64129)

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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=?/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.

Item Type: Article
DOI/Identification number: 10.1103/PhysRevD.97.036002
Uncontrolled keywords: Skyrme model, BPS equation, Rational map ansatz
Subjects: Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User: Steffen Krusch
Date Deposited: 12 Dec 2017 17:20 UTC
Last Modified: 06 May 2020 03:16 UTC
Resource URI: (The current URI for this page, for reference purposes)
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