Exact topological density in the lattice Skyrme model

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.

Comments: Presented at the International Workshop on Strong and Electroweak Matter (SEWM 2000), Marseille, France, 14-17 June 2000. 6 pp. LaTeX2e, uses ws-p8-50x6-00.cls (enclosed), 3 figures