Exact topological density in the lattice Skyrme model

Details Exact topological density in the lattice Skyrme model Exact topological density in the lattice Skyrme model

2000-09-12

arxiv.org/abs/hep-lat/0009014v1

Physics

High Energy Physics

High Energy Physics - Lattice

Presented at the International Workshop on Strong and Electroweak Matter (SEWM 2000), Marseille, France, 14-17 June 2000. 6 pp

Scientific paper

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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