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Skyrmions in a truncated BPS theory

Sutcliffe, P.M.



Recently, it has been shown that (4 + 1)-dimensional Yang-Mills theory may be written as a (3 + 1)-dimensional BPS Skyrme model, in which the Skyrme field is coupled toan infinite tower of vector mesons. Truncating this tower to a single vector meson yields an extension of the standard Skyrme model to a theory of pions coupled to the ρ meson, with the significant simplification that no additional free parameters are introduced. The present paper is concerned with this truncated theory and results are presented for Skyrmions with baryon numbers one to four. The approach involves the use of an extended version of the Atiyah-Manton construction, in which the Skyrme field is approximated by the holonomy of a Yang-Mills instanton. It is found that the coupling to the ρ meson significantly reduces Skyrmion binding energies, to produce an improved comparison with the experimental data on nuclei. A truncation that includes both a vector and an axial vector meson is also investigated, providing a model of pions, the ρ meson and the a1 meson. Binding energies are further reduced by the inclusion of this additional meson, shifting the Skyrmion energies a little closer to those of nuclei. Fixing the energy unit by equating the energy of the baryon number four Skyrmion to the He4 mass, yields masses for all lower baryon numbers that are within 20MeV of the experimental values, which is an error that is four times smaller than in the standard Skyrme model.


Sutcliffe, P. (2011). Skyrmions in a truncated BPS theory. Journal of High Energy Physics, 2011(4), Article 045.

Journal Article Type Article
Publication Date Apr 11, 2011
Deposit Date Apr 20, 2011
Publicly Available Date Aug 13, 2013
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2011
Issue 4
Article Number 045
Keywords Solitons monopoles and instantons, Sigma models.


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