English

Maxwell-$CP(2)$ vortices in the presence of magnetic impurities

High Energy Physics - Theory 2022-07-27 v2 Pattern Formation and Solitons

Abstract

We consider a Maxwell-CP(2)CP(2) model extended to include a magnetic impurity. We focus our attention on the time-independent configurations with radial symmetry, from which we minimize the corresponding energy by following the Bogomol'nyi-Prasad-Sommerfield (BPS) prescription. We use the general first-order expressions in order to introduce modified scenarios in which the impurity plays a relevant role. We then solve the effective first-order equations numerically by means of a finite-difference scheme, from which we comment on the main changes on the shape of the final solutions caused by the presence of a localised impurity. We also discuss the limit when the impurity becomes a delta function.

Keywords

Cite

@article{arxiv.2004.02801,
  title  = {Maxwell-$CP(2)$ vortices in the presence of magnetic impurities},
  author = {E. da Hora and S. Krusch},
  journal= {arXiv preprint arXiv:2004.02801},
  year   = {2022}
}

Comments

In order to avoid a duplicate given that a significantly improved version was published in the Phys. Rev. D 106, 016010 (2022) and it is now available at arXiv:2204.13632v2 [hep-th]