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Abstract

The geodesic approximation to vortex dynamics in the critically coupled abelian Higgs model is studied. The metric on vortex moduli space is shown to be Kähler and a scheme for its numerical computation described. The scheme is applied to the 2-vortex system and the geodesic scattering compared with previous simulations of the full field theory. The quantum scattering is also analysed.

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Communicated by S.-T. Yau

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Samols, T.M. Vortex scattering. Commun.Math. Phys. 145, 149–179 (1992). https://doi.org/10.1007/BF02099284

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  • DOI: https://doi.org/10.1007/BF02099284

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