Collective Coordinates of the Skyrme Model Coupled with Fermions
Copyright policy )Collective Coordinates of the Skyrme Model Coupled with Fermions
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.
10 pages
High Energy Physics - Theory, fermion-monopole system, fiber bundle over the moduli space, High Energy Physics - Theory (hep-th), Moduli problems for differential geometric structures, Nuclear physics, minimal interaction with fermions, FOS: Physical sciences, natural \(\text{SO}(2n+ 1)\) connection, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, nontrivial holonomy appearance
High Energy Physics - Theory, fermion-monopole system, fiber bundle over the moduli space, High Energy Physics - Theory (hep-th), Moduli problems for differential geometric structures, Nuclear physics, minimal interaction with fermions, FOS: Physical sciences, natural \(\text{SO}(2n+ 1)\) connection, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, nontrivial holonomy appearance
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