Ribbons Around Mexican Hats

Details Ribbons Around Mexican Hats Ribbons Around Mexican Hats

1994-03-05

arxiv.org/abs/hep-th/9403034v1

Nucl.Phys.B428:209-220,1994

Physics

High Energy Physics

High Energy Physics - Theory

12p. Latex , Ecole Polytechnique preprint A295.02.94 and Crete preprint 94-10

Scientific paper

10.1016/0550-3213(94)90199-6

We analyze quasi-topological solitons winding around a mexican-hat potential in two space-time dimensions. They are prototypes for a large number of physical excitations, including Skyrmions of the Higgs sector of the standard electroweak model, magnetic bubbles in thin ferromagnetic films, and strings in certain non-trivial backgrounds. We present explicit solutions, derive the conditions for classical stability, and show that contrary to the naive expectation these can be satisfied in the weak-coupling limit. In this limit we can calculate the soliton properties reliably, and estimate their lifetime semiclassically. We explain why gauge interactions destabilize these solitons, unless the scalar sector is extended.

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