Collective coordinates of the Skyrme model coupled with fermions

Details Collective coordinates of the Skyrme model coupled with fermions Collective coordinates of the Skyrme model coupled with fermions

2003-07-29

arxiv.org/abs/hep-th/0307277v1

Phys.Scripta 67 (2003) 361-365

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

10.1238/Physica.Regular.067a0036

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.

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