Collective Coordinates of the Skyrme Model Coupled with Fermions

DOI10.1238/PHYSICA.REGULAR.067A00361zbMATH Open1027.81042arXivhep-th/0307277MaRDI QIDQ4808075

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Publication date: 26 May 2003

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Abstract: The problem of construction of fiber bundle over the moduli space of the Skyrme model is considered. We analyse an extension of the original Skyrme model which includes the minimal interaction with fermions. An analogy with modili space of the fermion-monopole system is used to construct a fiber bundle structure over the skyrmion moduli space. The possibility of the non-trivial holonomy appearance is considered. It is shown that the effect of the fermion interaction turns the $n$-skyrmion moduli space into a real vector bundle with natural $SO(2n+1)$ connection.

Full work available at URL: https://arxiv.org/abs/hep-th/0307277

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