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arXiv · hep-ph/9907492

The Casimir energy of skyrmions in the 2+1-dimensional O(3)-model

H. Walliser·G. Holzwarth
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Abstract

One-loop quantum corrections to the classical vortices in 2+1 dimensional O(3)-models are evaluated. Skyrme and Zeeman potential terms are used to stabilize the size of topological solitons. Contributions from zero modes, bound-states and scattering phase-shifts are calculated for vortices with winding index n=1 and n=2. For both cases the S-matrix shows a pronounced series of resonances for magnon-vortex scattering in analogy to the well-established baryon resonances in hadron physics, while vortices with n>2 are already classically unstable against decay. The quantum corrections destabilize the classically bound n=2 configuration. Approximate independence of the results with respect to changes in the renormalization scale is demonstrated.

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H. Walliser, G. Holzwarth. 1999-07-26. The Casimir energy of skyrmions in the 2+1-dimensional O(3)-model. https://doi.org/10.1103/physrevb.61.2819

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