Abstract
We consider the abelian Higgs model as well as the SU(2) Georgi–Glashow model in which the gauge field action is replaced by a nonlinear Born–Infeld (BI) action. We study soliton solutions arising in these models, namely the vortex and monopole solutions, respectively. We construct formulae which provide good approximations for the mass of the BI deformed solitons using only the data of the undeformed solutions. The results obtained indicate that in the self-dual limit, the BI interaction leads to bound vortices, while for monopoles it gives rise to repulsion.
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