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Exact topological density in the lattice Skyrme model

Benjamin Svetitsky·Alec Schramm
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Abstract

We propose using the Skyrme model on a lattice as an effective field theory of meson-baryon interactions. To this end we construct a local topological density that involves the volumes of tetrahedra in the target space S^3 and we make use of Coxeter's formula for the Schlafli function to implement it. We calculate the mean-square radius of a skyrmion in the three-dimensional Skyrme model, and find some surprises.

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Benjamin Svetitsky, Alec Schramm. 2000-09-12. Exact topological density in the lattice Skyrme model. https://doi.org/10.1142/9789812799913_0049

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