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2001

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Exact Topological Density In The Lattice Skyrme Model, Alec Schramm, Benjamin Svetitsky Jun 2001

Exact Topological Density In The Lattice Skyrme Model, Alec Schramm, Benjamin Svetitsky

Alec J Schramm

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 S3 and we make use of Coxeter’s formula for the Schla¨fli function to implement it. We calculate the mean-square radius of a skyrmion in the three-dimensional Skyrme model, and find some surprises.