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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Topological Solitons Seminar: Stabilizing Solitons by Gauge Fields or Internal Rotation.

Presented by Richard Ward,

9 October 2002 00:00 in CM221

"Abstract: Scalar-field solitons, in more than one space dimension, are unstable to shrinking. One well-known way of stabilizing sigma-model solitons is by adding a Skyrme term to the Lagrangian. But there are other (non-Skyrme) ways: for example, we can (a) introduce a gauge field, or (b) allow internal rotation (the Q-ball idea). The talk is about these two possibilities. Solitons of type (a) include vortices and monopoles, but these are non-trivial at spatial infinity; for textures (trivial at infinity) the idea sometimes works, but it is not so easy. Topological solitons of type (b), ie topological Q-balls, exist in 2+1 dimensions, but not, apparently, in 3+1 dimensions."

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