Self-dual configurations in a generalized Abelian Chern-Simons-Higgs model with explicit breaking of the Lorentz covariance

RODOLFO CASANA; LUCAS SOURROUILLE

Advances in High Energy Physics

Hindawi Publishing Corporation

Lugar: New York; Año: 2016

We have studied the existence of self-dual solitonic solutions in a generalization of the Abelian Chern-Simons-Higgs model. Sucha generalization introduces two different nonnegative functions, ω1 (|φ|) and ω(|φ|), which split the kinetic term of the Higgs field,|D μ φ|2 → ω1 (|φ|)|D0 φ|2 − ω(|φ|)|D k φ|2 , breaking explicitly the Lorentz covariance. We have shown that a clean implementation ofthe Bogomolnyi procedure only can be implemented whether ω(|φ|) ∝ β|φ|2β−2 with β ≥ 1. The self-dual or Bogomolnyi equationsproduce an infinity number of soliton solutions by choosing conveniently the generalizing function ω1 (|φ|) which must be able toprovide a finite magnetic field. Also, we have shown that by properly choosing the generalizing functions it is possible to reproducethe Bogomolnyi equations of the Abelian Maxwell-Higgs and Chern-Simons-Higgs models. Finally, some new self-dual |φ|6 -vortexsolutions have been analyzed from both theoretical and numerical point of view.