Expansion for the solutions of the Bogomolny equations on the torus

  title={Expansion for the solutions of the Bogomolny equations on the torus},
  author={Antonio Gonz{\'a}lez-Arroyo and Alberto Ramos},
  journal={Journal of High Energy Physics},
We show that the solutions of the Bogomolny equations for the abelian Higgs model on a two-dimensional torus, can be expanded in powers of a quantity measuring the departure of the area from the critical area. This allows a precise determination of the shape of the solutions for all magnetic fluxes and arbitrary position of the Higgs field zeroes. The expansion is carried out to 51 orders for a couple of representative cases, including the unit flux case. We analyse the behaviour of the… 

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